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Crazy Cooking – Omelettes (Ft. Darren TP)
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Multiply Fractions Word Problems Quiz – Quizizz
Darren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now 5 8 \frac{5}{8} 85 is left. Darren wants to put each slice of the …
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Date Published: 2/16/2021
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Grade 4 HMH Go Math – Answer Keys
Darren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now 58 is left. Darren wants to put each slice of the leftover pie on its …
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Date Published: 11/17/2022
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Chapter 8 – Fraction Review – ClassTools.net
Question4 Santana cut a lemon pie into 8 equal slices. She and her friends, Iyana and Maria, ate some of the pie and now 5/8 is left. Santana wants to put …
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Date Published: 2/11/2021
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Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by …
Darren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now \frac{5}{8} is left. Darren wants to put each slice of …
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Date Published: 7/14/2021
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Math Worksheets and Exit Tickets
learning how to multiply fractions and mixed numbers by whole numbers. … Darren cut a lemon pie into 8 equal slices. His friends ate some of the.
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Date Published: 4/5/2022
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Homework and Remembering
Possible answer: since 10 ones is equal to 1 ten, the … Maria read less than Darren because. 1__. 8 … Margaret cut her pie into 8 pieces, while June cut.
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Date Published: 11/11/2021
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4th Grade – Mountain Vista Elementary
marks, or use Houghton Mifflin Harcourt marks in such a way that … 8 Multiply Using Mental Math. … Darren cut a lemon pie into 8 equal slices.
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Date Published: 1/9/2022
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Answer Keys Answer keys
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Question1 What are the next four multiples of the following fractions: 5/12 and 3/6 Answer1 10/12, 15/12, 20/12, 25/12 – 6/6, 9/6, 12/6, 15/6
Task 2 Write the product as the product of an integer and a unit fraction – 4 x 2/6
Answer2 8 x 1/6
Question 3 Carson makes 3 batches of banana milkshakes for Javardus, Stephen and himself. He needs 3/4 gallon of milk for each batch. Its measuring cup holds 1/4 gallon. How many times does he have to fill the measuring cup to make all 3 batches of milkshakes?
Answer3 9 times
Question4 Santana cuts a lemon cake into 8 equal pieces. She and her friends Iyana and Maria ate some of the cake and now there are 5/8 left. Santana wants to put each leftover piece of cake on its own plate. What part of the cake will she put on each plate and how many plates will she need?
answer4 1/8 and 5 plates
Question5 Antonio’s dog eats 3/4 bag of dog food in 1 month. How many bags of dog food does Antonio’s dog eat in 6 months? Switch to a mixed number
answer5 18/4 or 4 2/4 or 4 1/2 bags of dog food
Question 6 multiply 5 x 2/4 and turn the product into a mixed number. If necessary, simplify
Answer6 2 2/4 or 2/1/2
Question7 multiply 3 x 3/6 and show a model
answer7 9/6 shows 3 groups with 3 1/6 shades in each group
Question8 Write the product as a mixed number 2 x 3 3/4. If necessary, simplify
Answer8 7 2/4 or 7 1/2
Question 9 Simplify 7/21
Answer9 1/3
Question 10 Simplify 3 x 2/8
Answer 10 3/4
Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers
Download Go Math Class 4 Answer Key Chapter 8 Multiplying Fractions By Integers pdf for free. During your preparation, check out HMH Go Math Chapter 8 4th Grade Questions and know the topics well. Solving the covered chapter test and practice test questions will help students get more points on the exams. They can also match answers using the Go Math Class 4 Chapter 8 Answer Key. Go Math Grade 4 Chapter 8 Multiplying Fractions by Integers Solution Key The step-by-step solutions provided will help you master the concepts and become a pro on the subject.
Go Math Class 4 Chapter 8 Multiplying Fractions By Integers Answer Key
The topics of Chapter 8 Multiplying Fractions by Integers have different kinds of methods to solve the questions in no time. For concepts and their step-by-step answers, see our HMH Go Math Grade 4 Ch 8 Answer Key. So, Grade 4, Chapter 8 will be easy to solve for those students practicing the sums from Go Math Grade 4 Solutions Key, Chapter 8, Multiplying Fractions by Integers.
Lesson 1: Multiples of Unit Fractions
Lesson 2: Multiples of Fractions
Checkpoint in the middle of the chapter
Lesson 3: Multiply a fraction by an integer using models
Lesson 4: Multiply a fraction or mixed number by a whole number
Lesson 5: Problem Solving • Comparison problems with fractions
review/test
Common Core – New – Page #459
Multiples of unit fractions
Write the fraction as the product of an integer and a unit fraction.
Question 1.
Answers:
5×1/6
Explanation:
Because 5/6 or 5 parts of the sixth size.
Every sixth part of the given fraction can be represented by the unit fraction 1/6.
You can use unit fractions to show 5/6
5/6 = 5 x 1/6.
question 2
\(\frac{7}{8}\) =
Enter below:
__________
Answers:
7×1/8
Explanation:
Since 7/8 or 7 parts in eighth size.
Each eighth part of the given fraction can be represented by the unit fraction 1/8.
You can use unit fractions to show 7/8
7/8 = 7 x 1/8.
question 3
\(\frac{5}{3}\) =
Enter below:
__________
Answers:
5 x 1/3
Explanation:
Because 5/3 or 5 third-size pieces.
Every third part of the given fraction can be represented by the unit fraction 1/3.
You can use unit fractions to show 5/6
5/3 = 5 x 1/3.
question 4
\(\frac{9}{10}\) =
Enter below:
__________
Answers:
9×1/10
Explanation:
Because 9/10 or 9 parts in tenths size.
Each tenth part of the given fraction can be represented by the unit fraction 1/10.
You can use unit fractions to show 9/10
9/10 = 9 x 1/10.
question 5
\(\frac{3}{4}\) =
Enter below:
__________
Answers:
3 x 1/4
Explanation:
Because 3/4 or 3 parts of the fourth size.
Every fourth part of the given fraction can be represented by the unit fraction 1/4.
You can use unit fractions to show 5/6
3/4 = 3 x 1/4.
question 6
\(\frac{11}{12}\) =
Enter below:
__________
Answers:
11×1/12
Explanation:
Since 11/12 or 11 twelve parts.
Each twelve-part part of the given fraction can be represented by the unit fraction 1/12.
You can use unit fractions to show 5/6
11/12 = 11 x 1/12.
question 7
\(\frac{4}{6}\) =
Enter below:
__________
Answers:
4×1/6
Explanation:
Since 4/6 or 4 sixth parts.
Every sixth part of the given fraction can be represented by the unit fraction 1/6.
You can use unit fractions to show 4/6
4/6 = 4×1/6.
question 8
\(\frac{8}{20}\) =
Enter below:
__________
Answers:
8×1/20
Explanation:
Because 8/20 or 8 twenty parts.
Any 20’s part of the given fraction can be represented by the unit fraction 1/20.
You can use unit fractions to show 8/20
8/20 = 8 x 1/20.
question 9
\(\frac{13}{100}\) =
Enter below:
__________
Answers:
13×1/100
Explanation:
Since 13/100 or 13 hundred parts.
Each hundredth part of the given fraction can be represented by the unit fraction 1/100.
You can use unit fractions to show 13/100
13/100 = 13 x 1/100.
Give the next four multiples of the unit fraction.
question 10
\(\frac{1}{5}\) ,
Enter below:
__________
Answers:
2/5, 3/5, 4/5, 5/5
Explanation:
2/5, 3/5, 4/5, 5/5
question 11
\(\frac{1}{8}\) ,
Enter below:
__________
Answers:
2/8, 3/8, 4/8, 5/8
Explanation:
2/8, 3/8, 4/8, 5/8
solve problems
question 12
Monika has read \(\frac{5}{6}\) of a book so far. She read the same number of pages every day for 5 days. What fraction of the book does Monika read every day?
\(\frac{□}{□}\) of the book
Answers:
1/6 of the book
Explanation:
Monica has read 5/6 of a book. She read the same number of pages every day for 5 days.
She read a page for a day. In all, she read 5 pages in 5 days. So Monica read 1/6 of a book every day.
question 13
Nicholas buys \(\frac{3}{8}\) pounds of cheese. He puts the same amount of cheese on 3 sandwiches. How much cheese does Nicholas put on each sandwich?
\(\frac{□}{□}\) pounds of cheese
Answers:
1/8 pound cheese
Explanation:
Nicholas buys 3/8 pounds of cheese. He bought 3 sandwiches. Then he spread 3/8 lb of cheese on 3 sandwiches. So, 3 x 1/8 cheese he put on 3 sandwiches. So for a sandwich he put 1/8 pound of cheese in it.
Common Core – New – Page #460
lesson check
Question 1.
Selena goes from home to school every morning and back home every afternoon. Overall, she walks \(\frac{2}{3}\) miles every day. How far does Selena live from school?
Options:
a. \(\frac{1}{3}\) mile
b. \(\frac{2}{3}\) mile
c. 1 \(\frac{1}{3}\) mile
i.e. 2 miles
Answers:
a. \(\frac{1}{3}\) mile
Explanation:
Selena goes from home to school every morning and back home every afternoon. In total, she runs 2/3 miles every day. The distance between home and school remains the same. So, 2/3 x 1/2 = 1/3 mile Selena lives from school.
question 2
Will uses \(\frac{3}{4}\) cup olive oil to make 3 servings of salad dressing. How much oil does Will use in one serving of salad dressing?
Options:
a. \(\frac{1}{4}\) cup
b. \(\frac{1}{3}\) cup
c. 2 \(\frac{1}{3}\) cups
i.e. 3 cups
Answers:
1/8 pound cheese. \(\frac{1}{4}\) cup
Explanation:
Will uses 34 cups of olive oil to make 3 servings of salad dressing. To know the one serving of salad dressing, we need to take part salad dressing = 1/3. So, 3/4 x 1/3 = 1/4 cup olive oil is used for one serving of salad dressing.
spiral review
question 3
Liza bought \(\frac{5}{8}\) pounds of trail mix. She gives Michael \(\frac{2}{8}\) pounds of trail mix. How much trail mix does Liza have left?
Options:
a. \(\frac{1}{8}\) pounds
b. \(\frac{2}{8}\) pounds
c. \(\frac{3}{8}\) pounds
i.e. \(\frac{4}{8}\) pounds
Answers:
c. \(\frac{3}{8}\) pounds
Explanation:
Liza bought 58 pounds of trail mix. She gives Michael 28 pounds of trail mix.
So Liza has 5/8 – 2/8 = 3/8 trail mix left.
question 4
Leigh has a piece of rope that is 6 \(\frac{2}{3}\) feet long. How do you write 6 \(\frac{2}{3}\) as a fraction greater than 1?
Options:
a. \(\frac{11}{3}\)
b. \(\frac{15}{3}\)
c. \(\frac{20}{3}\)
i.e. \(\frac{62}{3}\)
Answers:
c. \(\frac{20}{3}\)
Explanation:
Multiply the denominator by the whole number. i.e. multiply 3 by 6 in the example given, 6 (2/3).
3 x 6 = 18.
Add 18 + 2 = 20.
Keep the denominator the same i.e. 3.
The fraction obtained is 20/3.
question 5
Randy’s house number is a composite number. Which of the following could be Randy’s house number?
Options:
a. 29
b. 39
c. 59
i.e. 79
Answers:
b. 39
Explanation:
The composite numbers can be defined as integers that have more than two divisors. Whole numbers that are not prime are composite numbers because they are divisible by more than two numbers. 39 is the composite number. 39 is divided by 13 and 3.
question 6
Mindy buys 12 cupcakes. Nine of the cupcakes have chocolate frosting and the rest have vanilla frosting. What percentage of cupcakes have vanilla frosting?
Options:
a. \(\frac{1}{4}\)
b. \(\frac{1}{3}\)
c. \(\frac{2}{3}\)
i.e. \(\frac{3}{4}\)
Answers:
a. \(\frac{1}{4}\)
Explanation:
Mindy buys 12 cupcakes.
Nine of the cupcakes have chocolate frosting = 9/12.
The rest has vanilla frosting. So there are 3 cups left = 3/12 = 1/4.
1/4 cupcakes have vanilla frosting.
Page No. 463
Question 1.
Write three multiples of \(\frac{3}{8}\).
1 × \(\frac{3}{8}\) = \(\frac{■}{8}\)
2 × \(\frac{3}{8}\) = \(\frac{■}{8}\)
3 × \(\frac{3}{8}\) = \(\frac{■}{8}\)
Multiples of \(\frac{3}{8}\) are ____ , ____ and ____ .
Enter below:
__________
Answers:
3/8, 6/8, 9/8, 12/8.
Explanation:
1 x 3/8 = 3/8.
2 x 3/8 = 6/8.
3 x 3/8 = 9/8.
4 x 3/8 = 12/8.
Multiples of 3/8 are 3/8, 6/8, 9/8, 12/8.
List the next four multiples of the fraction.
question 2
\(\frac{3}{6}\) ,
Enter below:
__________
Answers:
6/6, 9/6, 12/6, 20/6
Explanation:
1 x 3/6 = 3/6.
2 x 3/6 = 6/6.
3 x 3/6 = 9/6.
4 x 3/6 = 12/6.
5 x 4/6 = 20/6.
The next four multiples of 3/6 are 6/6, 9/6, 12/6, 20/6.
question 3
\(\frac{2}{10}\) ,
Enter below:
__________
Answers:
04/10, 06/10, 08/10, 10/10
Explanation:
1 x 2/10 = 2/10.
2 x 2/10 = 4/10.
3 x 2/10 = 6/10.
4 x 2/10 = 8/10.
5 x 2/10 = 10/10.
The next four multiples of 2/10 are 4/10, 6/10, 8/10, 10/10.
Write the product as the product of an integer and a unit fraction.
question 4
3 × \(\frac{3}{4}\) =
Enter below:
__________
Answers:
9/4 = 9 x 1/4
Explanation:
1 group of 3/4 = 3/4
2 groups of 3/4 = 6/4
3 groups of 3/4 = 9/4
3 x 3/4 = 9/4.
question 5
2 × \(\frac{4}{6}\) =
Enter below:
__________
Answers:
8/6 = 8×1/6
Explanation:
1 group of 4/6 = 4/6
2 groups of 4/6 = 8/6
2×4/6 = 8/6 = 8×1/6.
List the next four multiples of the fraction.
question 6
\(\frac{4}{5}\) ,
Enter below:
__________
Answers:
8 May, 12 May, 16 May, 20 May
Explanation:
1 x 4/5 = 4/5.
2 x 4/5 = 8/5.
3 x 4/5 = 12/5.
4 x 4/5 = 16/5.
5 x 4/5 = 20/5.
The next four multiples of 4/5 are 8/5, 12/5, 16/5, 20/5.
question 7
\(\frac{2}{4}\) ,
Enter below:
__________
Answers:
4/4, 6/4, 8/4, 10/4
Explanation:
1 x 2/4 = 2/4.
2 x 2/4 = 4/4.
3 x 2/4 = 6/4.
4 x 2/4 = 8/4.
5 x 2/4 = 10/4.
The next four multiples of 2/4 are 4/4, 6/4, 8/4, 10/4.
Write the product as the product of an integer and a unit fraction.
question 8
4 × \(\frac{2}{8}\) =
Enter below:
__________
Answers:
8/8 = 8×1/8
Explanation:
1 group of 2/8 = 2/8
2 groups of 2/8 = 4/8
3 groups of 2/8 = 6/8
4 groups of 2/8 = 8/8
4×2/8 = 8/8 = 8×1/8.
question 9
3 × \(\frac{3}{5}\) =
Enter below:
__________
Answers:
9/5 = 9 x 1/5
Explanation:
1 group of 3/5 = 3/5
2 groups of 3/5 = 6/5
3 groups of 3/5 = 9/5
3 x 3/5 = 9/5 = 9 x 1/5.
question 10
Use Repeated Reasoning Are \(\frac{6}{10}\) and \(\frac{6}{30}\) multiples of \(\frac{3}{10}\)?
To explain.
Enter below:
__________
Answers:
30.3
Explanation:
Use Repeated Reasoning Are 6/10 and 6/30 multiples of 3/10 and 3/30.
question 11
Which is larger, 4 × \(\frac{2}{7}\) or 3 × \(\frac{3}{7}\)? To explain.
4 × \(\frac{2}{7}\) _____ 3 × \(\frac{3}{7}\)
Answers:
4 × \(\frac{2}{7}\) __<___ 3 × \(\frac{3}{7}\) Explanation: 8/7 < 9/7 So 4 x 2/7 < 3 x 3/7 Page No. 464 question 12 Josh waters his plants. He gives each of 2 plants \(\frac{3}{5}\) pints of water. His watering can holds \(\frac{1}{5}\) pint. How many times will he fill his watering can to water both plants? a. What do you need to find? Enter below: __________ Answers: We need to figure out how many times Josh has to fill his watering can to water both plants. question 12 b. What information do you need to use? Enter below: __________ Answers: Use number of plants = 2. He gives each plant 3/5 pint of water. His watering can holds 1/5 pint. question 12 c. How can drawing a model help you solve the problem? Enter below: __________ Answers: question 12 i.e. Show the steps you use to solve the problem. Enter below: __________ Answers: If Josh gives each plant 3/5 pints, that's 6/5 pints total. 6/5 = 6 x 1/5. question 12 e. Complete the sentence. Josh will fill his watering can ____ times. ____ times Answers: Josh will fill his watering can 6 times. question 13 Alma makes 3 batches of tortillas. She adds \(\frac{3}{4}\) cup of water to each batch. The measuring cup holds \(\frac{1}{4}\) cups. How many times does Alma have to measure \(\frac{1}{4}\) cups of water to have enough for the tortillas? Shade the model to show your answer. Alma needs to measure ______ times \(\frac{1}{4}\) cup. ____ times Answers: 12 times Explanation: Alma makes 3 batches of tortillas. She adds 3/4 cup of water to each batch. The measuring cup holds 1/4 cup. Alma needs to measure 1/4 cup 12 times. Common Core - New - Page #465 multiples of fractions List the next four multiples of the fraction. Question 1. \(\frac{3}{5}\) , Enter below: __________ Answers: 6/5, 9/5, 12/5, 20/5 Explanation: 1 x 3/5 = 3/5. 2 x 3/5 = 6/5. 3 x 3/5 = 9/5. 4 x 3/5 = 12/5. 5 x 4/5 = 20/5. The next four multiples of 3/5 are 6/5, 9/5, 12/5, 20/5. question 2 \(\frac{2}{6}\) , Enter below: __________ Answers: 4/6, 6/6, 8/6, 10/6 Explanation: 1 x 2/6 = 2/6. 2 x 2/6 = 4/6. 3 x 2/6 = 6/6. 4 x 2/6 = 8/6. 5 x 2/6 = 10/6. The next four multiples of 2/6 are 4/6, 6/6, 8/6, 10/6. question 3 \(\frac{4}{8}\) , Enter below: __________ Answers: 8/8, 12/8, 16/8, 20/8 Explanation: 1 x 4/8 = 4/8. 2 x 4/8 = 8/8. 3 x 4/8 = 12/8. 4 x 4/8 = 16/8. 5 x 4/8 = 20/8. The next four multiples of 4/8 are 8/8, 12/8, 16/8, 20/8. question 4 \(\frac{5}{10}\) , Enter below: __________ Answers: 10.10., 15.10., 20.10., 25.10 Explanation: 1 x 5/10 = 5/10. 2 x 5/10 = 10/10. 3 x 5/10 = 15/10. 4 x 5/10 = 20/10. 5 x 5/10 = 25/10. The next four multiples of 5/10 are 10/10, 15/10, 20/10, 25/10. Write the product as the product of an integer and a unit fraction. question 5 2 × \(\frac{4}{5}\) = Enter below: __________ Answers: 8/5 = 8 x 1/5 Explanation: 1 group of 4/5 = 4/5 2 groups of 4/5 = 8/5 2 x 4/5 = 8/5 = 8 x 1/5. question 6 5 × \(\frac{2}{3}\) = Enter below: __________ Answers: 10/3 = 10 x 1/3 Explanation: 1 group of 2/3 = 2/3 2 groups of 2/3 = 4/3 3 groups of 2/3 = 6/3 4 groups of 2/3 = 8/3 5 group of 2/3 = 10/3 5 x 2/3 = 10/3 = 10 x 1/3. solve problems question 7 Jessica bakes 2 banana breads. She needs \(\frac{3}{4}\) cup of sugar for each loaf. Your measuring cup can only hold \(\frac{1}{4}\) cup of sugar. How many times does Jessica have to fill the measuring cup to get enough sugar for both loaves of bread? _____ Times Answers: 6 times Explanation: Jessica bakes 2 banana breads. She needs a 3/4 cup of sugar for each loaf. For 2 loaves she needs 2 x 3/4 = 6/4 cups of sugar. Your measuring cup can only hold 1/4 cup of sugar. So to get the 3/4 cup of sugar, she has to fill the cup three times. 1/4 + 1/4 + 1/4 = 3/4. So to fill 2 loaves of bread, she has to fill the cup 3 x 2 = 6 times. question 8 A group of four students conducts an experiment with salt. Each student must add \(\frac{3}{8}\) teaspoons of salt to a solution. The group only has a \(\frac{1}{8}\) teaspoon measuring spoon. How many times does the group have to fill the measuring spoon to do the experiment? _____ times Answers: 12 times Explanation: A group of four students conducts an experiment with salt. Each student must add 3/8 teaspoon of salt to a solution. 4 x 3/8 = 12/8 teaspoons of salt are required to complete the experiment. If you have 1/8 teaspoon scoops, do 12 x 1/8. So the group has to fill the measuring spoon 12 times to carry out the experiment. Common Core - New - Page #466 lesson check Question 1. Eloise made a list of some multiples of \(\frac{5}{8}\). Which of the following lists could Eloise's list be? Options: a. \(\frac{5}{8}, \frac{10}{16}, \frac{15}{24}, \frac{20}{32}, \frac{25}{40}\) b. \(\frac{5}{8}, \frac{10}{8}, \frac{15}{8}, \frac{20}{8}, \frac{25}{8}\) c. \(\frac{5}{8}, \frac{6}{8}, \frac{7}{8}, \frac{8}{8}, \frac{9}{8}\) i.e. \(\frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{4}{8}, \frac{5}{8}\) Answers: b. \(\frac{5}{8}, \frac{10}{8}, \frac{15}{8}, \frac{20}{8}, \frac{25}{8}\) Explanation: 1 x 5/8 = 5/8. 2 x 5/8 = 10/8. 3 x 5/8 = 15/8. 4 x 5/8 = 20/8. 5 x 5/8 = 25/8. The next four multiples of 5/8 are 10/8, 15/8, 20/8, 25/8. question 2 David fills five \(\frac{3}{4}\) liter bottles with a sports drink. His measuring cup only holds \(\frac{1}{4}\) quarts. How many times does David have to fill the measuring cup to fill the 5 bottles? Options: a. 5 b. 10 c. fifteen i.e. 20 Answers: c. fifteen Explanation: David fills five 3/4 liter bottles with a sports drink = 5 x 3/4 = 15/4. Its measuring cup only holds 1/4 quart. So 15 x 1/4. David has to fill the measuring cup 15 times to fill the 5 bottles. spiral review question 3 Ira has 128 stamps in his stamp album. It has the same number of stamps on each of the 8 sides. How many stamps are on each side? Options: a. 12 b. 14 c. 16 i.e. 18 Answers: c. 16 Explanation: Ira has 128 stamps in his stamp album. It has the same number of stamps on each of the 8 sides. 128/8 = 16 stamps on each side. question 4 Ryan is saving for a bike that costs $198. So far, he's saved $15 a week for the past 12 weeks. How much money does Ryan need to buy the bike? Options: a. $8 b. $18 c. $48 i.e. $180 Answers: b. $18 Explanation: Ryan is saving for a bike that costs $198. So far he has saved $15 per week for the last 12 weeks = $15 x 12 = $180. $198 – $180 = $18 needed to buy the bike. question 5 Tina buys 3 \(\frac{7}{8}\) yards of fabric at the fabric store. She uses it to make a skirt. After that she has 1 \(\frac{3}{8}\) meter of fabric left. How many meters of material did Tina use? Options: a. 1 \(\frac{4}{8}\) b. 2 \(\frac{1}{8}\) c. 2 \(\frac{4}{8}\) i.e. 5 \(\frac{2}{8}\) Answers: c. 2 \(\frac{4}{8}\) Explanation: Tina buys 3 7/8 yards of fabric at the fabric store. She uses it to make a skirt. After that she has 1 3/8 yards of fabric left. 3 -1 = 2; 7/8 – 3/8 = 4/8. So the answer is 2 4/8. question 6 Which list shows the fractions in order from smallest to largest? Options: a. \(\frac{2}{3}, \frac{3}{4}, \frac{7}{12}\) b. \(\frac{7}{12}, \frac{3}{4}, \frac{2}{3}\) c. \(\frac{3}{4}, \frac{2}{3}, \frac{7}{12}\) i.e. \(\frac{7}{12}, \frac{2}{3}, \frac{3}{4}\) Answers: i.e. \(\frac{7}{12}, \frac{2}{3}, \frac{3}{4}\) Explanation: 2/3 = 0.666 3/4 = 0.75 7/12 = 0.5833 7/12, 2/3, 3/4 Page #467 Choose the best term from the box. Question 1. A __________ of a number is the product of the number and a number. __________ Answers: Several question 2 A _________ always has the counter 1. _________ Answers: unit fraction Give the next four multiples of the unit fraction. question 3 \(\frac{1}{2}\) , Enter below: _________ Answers: 2/2, 3/2, 4/2, 5/2 Explanation: 1 x 1/2 = 1/2. 2 x 1/2 = 2/2. 3 x 1/2 = 3/2. 4 x 1/2 = 4/2. 5 x 1/2 = 5/2. The next four multiples of 1/2 are 2/2, 3/2, 4/2, 5/2. question 4 \(\frac{1}{5}\) , Enter below: _________ Answers: 2/5, 3/5, 4/5, 5/5 Explanation: 1 x 1/5 = 1/5. 2 x 1/5 = 2/5. 3 x 1/5 = 3/5. 4 x 1/5 = 4/5. 5 x 1/5 = 5/5. The next four multiples of 1/5 are 2/5, 3/5, 4/5, 5/5. Write the fraction as the product of an integer and a unit fraction. question 5 \(\frac{4}{10}\) = _____ × \(\frac{1}{10}\) Answers: 4 Explanation: 4/10 = 4 x 1/10 question 6 \(\frac{8}{12}\) = _____ × \(\frac{1}{12}\) Answers: 8th Explanation: 8/12 = 8x1/12 question 7 \(\frac{3}{4}\) = _____ × \(\frac{1}{4}\) Answers: 3 Explanation: 3/4 = 3 x 1/4 List the next four multiples of the fraction. question 8 \(\frac{2}{5}\) , Enter below: _________ Answers: 4/5, 6/5, 8/5, 10/5 Explanation: 1 x 2/5 = 1/5. 2 x 2/5 = 4/5. 3 x 2/5 = 6/5. 4 x 2/5 = 8/5. 5 x 2/5 = 10/5. The next four multiples of 1/5 are 4/5, 6/5, 8/5, 10/5. question 9 \(\frac{5}{6}\) , Enter below: _________ Answers: 10.6., 15.6., 20.6., 25.6 Explanation: 1 x 5/6 = 5/6. 2 x 5/6 = 10/6. 3 x 5/6 = 15/6. 4 x 5/6 = 20/6. 5 x 5/6 = 25/6. The next four multiples of 5/6 are 10/6, 15/6, 20/6, 25/6. Write the product as the product of an integer and a unit fraction. question 10 4 × \(\frac{2}{6}\) = Enter below: _________ Answers: 8/6 = 8x1/6 Explanation: 1 group of 2/6 = 2/6 2 groups of 2/6 = 4/6 3 groups of 2/6 = 6/6 4 groups of 2/6 = 8/6 4x2/6 = 8/6 = 8x1/6. question 11 3 × \(\frac{3}{8}\) = Enter below: _________ Answers: 9/8 = 9 x 1/8 Explanation: 1 group of 3/8 = 3/8 2 groups of 3/8 = 6/8 3 groups of 3/8 = 9/8 3 x 3/8 = 9/8 = 9 x 1/8. Page No. 468 question 12 Pedro cut a sheet of poster board into 10 equal pieces. His brother used some of the billboard and now \(\frac{8}{10}\) is left. Pedro wants to make a sign out of every remaining part of the billboard. How many characters can he make? ______ Sign Answers: 8 characters Explanation: Pedro cut a sheet of poster board into 10 equal pieces. His brother uses some of the billboard and now an 8/10 is left. So the remaining part of the b\poster board consists of 8/10 parts. Pedro can use 8/10 pieces of the board to make signs. So he can make 8 characters. question 13 Ella makes 3 batches of banana milkshakes. She needs \(\frac{3}{4}\) gallons of milk for each batch. Your measuring cup holds \(\frac{1}{4}\) gallons. How many times does she have to fill the measuring cup to make all 3 batches of milkshakes? ______ Times Answers: 9 times Explanation: Ella makes 3 batches of banana milkshakes. She needs 3/4 gallon of milk for each batch. So she needs 3 x 3/4 = 9/4 cups for 3 batches of banana milkshakes. Your measuring cup holds 1/4 gallon. 9/4 = 9 x 1/4. So Ella needs to fill the measuring cup 9 times to make all 3 batches of milkshakes. question 14 Darren cut a lemon cake into 8 equal pieces. His friends ate some of the cake and now \(\frac{5}{8}\) is left. Darren wants to put each piece of the leftover cake on its own plate. What part of the cake will he put on each plate? \(\frac{□}{□}\) of the cake on each plate. Answers: 5/8 of the cake on each plate Explanation: Darren cut a lemon cake into 8 equal slices. His friends ate some of the cake and now there are 5/8 left. So 5 slices of cake left. Darren can put 5/8 pieces of the cake on each plate. question 15 Beth applies liquid fertilizer to the plants in 4 flower pots. Your measuring spoon holds \(\frac{1}{8}\) teaspoons. The instructions say to put \(\frac{5}{8}\) teaspoons of fertilizer in each pot. How often does Beth have to fill the measuring spoon to fertilize the plants in the 4 pots? ______ times Answers: 20 times Explanation: Beth applies liquid fertilizer to the plants in 4 flower pots. Your measuring spoon holds 1/8 teaspoon. The directions say to add 5/8 teaspoons of fertilizer to each pot. So 4 x 5/8 = 20/8. 20/8 = 20 x 1/8. Beth has to fill the measuring spoon 20 times to fertilize the plants in the 4 pots. Page No. 471 Question 1. Find the product of 3 × \(\frac{5}{8}\). 1 group of \(\frac{5}{8}\) = \(\frac{□}{8}\) 2 groups of \(\frac{5}{8}\) = \(\frac{□}{8}\) 3 groups of \(\frac{5}{8}\) = \(\frac{□}{8}\) 3 × \(\frac{5}{8}\) = \(\frac{□}{□}\) Answers: 15/8 Explanation: 1 group of 5/8 = 2/8 2 groups of 5/8 = 4/8 3 groups of 5/8 = 6/8 3 x 5/8 = 15/8. Multiply. question 2 2 × \(\frac{4}{5}\) = \(\frac{□}{□}\) Answers: 8/5 Explanation: 1 group of 4/5 = 4/5 2 groups of 4/5 = 8/5 2 x 4/5 = 8/5. question 3 4 × \(\frac{2}{3}\) = \(\frac{□}{□}\) Answers: 8/3 Explanation: 1 group of 2/3 = 2/3 2 groups of 2/3 = 4/3 3 groups of 2/3 = 6/3 4 groups of 2/3 = 8/3 4 x 2/3 = 8/3 question 4 5 × \(\frac{3}{10}\) = \(\frac{□}{□}\) Answers: 15/10 Explanation: 1 group of 3/10 = 3/10 2 groups of 3/10 = 6/10 3 groups of 3/10 = 9/10 4 groups of 3/10 = 12/10 5 groups of 3/10 = 15/10 5 x 3/10 = 15/10 question 5 4 × \(\frac{5}{6}\) = \(\frac{□}{□}\) Answers: 20/6 Explanation: 1 group of 5/6 = 5/6 2 groups of 5/6 = 10/6 3 groups of 5/6 = 15/6 4 groups of 5/6 = 20/6 4 x 5/6 = 20/6 Multiply. question 6 2 × \(\frac{7}{12}\) = \(\frac{□}{□}\) Answers: 7/6 Explanation: 1 group of 7/12 = 7/12 2 groups of 7/12 = 14/12 2 x 7/12 = 14/12 = 7/6 question 7 6 × \(\frac{3}{8}\) = \(\frac{□}{□}\) Answers: 9/4 Explanation: 1 group of 3/8 = 3/8 2 groups of 3/8 = 6/8 3 groups of 3/8 = 9/8 4 groups of 3/8 = 12/8 5 groups of 3/8 = 15/8 6 groups of 3/8 = 18/8 6 x 3/8 = 18/8 = 9/4 question 8 5 × \(\frac{2}{4}\) = \(\frac{□}{□}\) Answers: 5/2 Explanation: 1 group of 2/4 = 2/4 2 groups of 2/4 = 4/4 3 groups of 2/4 = 6/4 4 groups of 2/4 = 8/4 5 groups of 2/4 = 10/4 5 x 2/4 = 10/4 = 5/2 question 9 3 × \(\frac{4}{6}\) = \(\frac{□}{□}\) Answers: 2 Explanation: 1 group of 4/6 = 4/6 2 groups of 4/6 = 8/6 3 groups of 4/6 = 12/6 3 x 4/6 = 12/6 = 2 question 10 2 × \(\frac{5}{10}\) = \(\frac{□}{□}\) Answers: 2 Explanation: 1 group of 5/10 = 5/10 2 groups of 5/10 = 10/10 2 x 10/10 = 2 x 1 = 2 question 11 4 × \(\frac{2}{8}\) = \(\frac{□}{□}\) Answers: 1 Explanation: 1 group of 2/8 = 2/8 2 groups of 2/8 = 4/8 3 groups of 2/8 = 6/8 4 groups of 2/8 = 8/8 4 x 2/8 = 8/8 = 1 Look for a pattern algebra. Write the unknown number. question 12 □ × \(\frac{2}{3}\) = \(\frac{12}{3}\) □ = ____ Answers: 6 Explanation: The unknown number is s. s x 2/3 = 12/3 s = 12/3 x 3/2 = 6. question 13 5 × \(\frac{□}{4}\) = \(\frac{10}{4}\) □ = ____ Answers: 2 Explanation: The unknown number is s. 5 x s/4 = 10/4 5/4 x s = 10/4 s = 10/4 x 4/5 = 2. question 14 2 × \(\frac{7}{□}\) = \(\frac{14}{8}\) □ = ____ Answers: 8th Explanation: The unknown number is s. 2 x 7/s = 14/8 14/s = 14/8 s x 14/8 = 14 s = 14 x 8/14 s = 8. Page #472 question 15 Lisa makes clothes for pets. She needs \(\frac{5}{6}\) meters of fabric to make 1 dog coat. How much fabric does she need for 3 dog coats? a. What do you need to find? Enter below: _________ Answers: The number of yards of fabric needed for 3 dog coats question 15 b. What information do you need? Enter below: _________ Answers: How much fabric she needs for 1 dog coat can help to find for 3 dog coats. question 15 c. Show the steps you use to solve the problem. Enter below: _________ Answers: Lisa makes clothes for pets. She needs 5/6 yards of fabric to make 1 dog coat. For 3 dogs = 5/6 x 3 = 5/2 question 15 i.e. Complete the sentence. Lisa needs _____ meters of fabric to make 3 dog coats. \(\frac{□}{□}\) Answers: Lisa needs 5/2 yards of fabric to make 3 dog coats. question 16 Manuel's little dog will eat \(\frac{2}{4}\) bag of dog food in a month. His big dog eats \(\frac{3}{4}\) bag of dog food in 1 month. How many bags do both dogs eat in 6 months? \(\frac{□}{□}\) pockets Answers: 2 pockets Explanation: Manuel's little dog eats a 2/4 bag of dog food in 1 month. His big dog eats a 3/4 bag of dog food in 1 month. Eating a total of 2/4 + 3/4 = 5/4 bag of dog food in 1 month. So for 6 months = 6 x 5/4 = 30/4 = 15/2. So, 2 bags need for 6 months. question 17 Choose the correct product for the equation. 9 × \(\frac{2}{12}\) = □ 3 × \(\frac{6}{7}\) = □ 6 × \(\frac{4}{7}\) = □ 8 × \(\frac{3}{12}\) = □ Enter below: _________ Answers: 8 × \(\frac{3}{12}\) = 2 Explanation: 9 × \(\frac{2}{12}\) = 3/2 3 × \(\frac{6}{7}\) = 18/7 6 × \(\frac{4}{7}\) = 24/7 8 × \(\frac{3}{12}\) = 2 Common Core - New - Page #473 Multiply a fraction by an integer using models Multiply. Question 1. Answers: question 2 3 × \(\frac{2}{5}\) = \(\frac{□}{□}\) Answers: 3 x 2/5 = 6/5 question 3 7 × \(\frac{3}{10}\) = \(\frac{□}{□}\) Answers: 7 x 3/10 = 21/10 question 4 3 × \(\frac{5}{12}\) = \(\frac{□}{□}\) Answers: 3 x 5/12 = 15/12 question 5 6 × \(\frac{3}{4}\) = \(\frac{□}{□}\) Answers: 6 x 3/4 = 18/4 question 6 4 × \(\frac{2}{8}\) = \(\frac{□}{□}\) Answers: 4 x 2/8 = 8/8 question 7 5 × \(\frac{2}{3}\) = \(\frac{□}{□}\) Answers: 5 x 2/3 = 10/3 question 8 2 × \(\frac{7}{8}\) = \(\frac{□}{□}\) Answers: 2 x 7/8 = 14/8 question 9 6 × \(\frac{4}{5}\) = \(\frac{□}{□}\) Answers: 6 x 4/5 = 28/5 solve problems question 10 Matthew walks a \(\frac{5}{8}\) mile to the bus stop every morning. How far will he go in 5 days? \(\frac{□}{□}\) Answers: 25/8 miles Explanation: Matthew walks 5/8 miles to the bus stop every morning. In 5 days, 5 x 5/8 = 25/8 miles. question 11 Emily uses \(\frac{2}{3}\) cups of milk to bake a batch of muffins. How many cups of milk does Emily use when she bakes 3 batches of muffins? \(\frac{□}{□}\) Answers: 6/3 cups milk Explanation: Emily uses 2/3 cup of milk to make a batch of muffins. Emily uses 3 x 2/3 = 6/3 cups of milk to make 3 batches of muffins Common Core - New - Page #474 lesson check Question 1. Aleta's puppy gained \(\frac{3}{8}\) pounds every week for 4 weeks. How much weight has the puppy gained in total over the 4 weeks? Options: a. \(\frac{8}{12}\) pounds b. 1 \(\frac{2}{8}\) pounds c. \(\frac{12}{8}\) pounds i.e. 4 \(\frac{3}{8}\) pounds Answers: 6/3 cups milk Explanation: Aleta's pup gained 3/8 pounds each week. Gained 4 x 3/8 = 12/8 pounds in 4 weeks. question 2 Pedro mixes \(\frac{3}{4}\) teaspoons of plant food into each gallon of water. How many teaspoons of plant food should Pedro mix in 5 gallons of water? Options: a. \(\frac{3}{20}\) teaspoons b. \(\frac{4}{15}\) teaspoon c. \(\frac{8}{4}\) teaspoon i.e. \(\frac{15}{4}\) teaspoon Answers: i.e. \(\frac{15}{4}\) teaspoon Explanation: If Pedro mixes 3/4 teaspoon of plant food in every gallon of water, then mix 5 x 3/4 = 15/4 teaspoons of plant food in 5 gallons of water. spiral review question 3 Ivana has \(\frac{3}{4}\) pounds of hamburger meat. She makes 3 hamburger patties. Each patty weighs the same. How much does each hamburger patty weigh? Options: a. \(\frac{1}{4}\) pounds b. \(\frac{1}{3}\) pounds c. 2 \(\frac{1}{4}\) pounds i.e. 3 pounds Answers: a. \(\frac{1}{4}\) pounds Explanation: Ivana has 3/4 pounds of hamburger meat. She makes 3 hamburger patties. Each patty weighs the same. So each hamburger patty weighs 1/4 pound. question 4 Which of the following expressions is NOT equal to \(\frac{7}{10}\)? Options: a. \(\frac{5}{10}+\frac{1}{10}+\frac{1}{10}\) b. \(\frac{2}{10}+\frac{2}{10}+\frac{3}{10}\) c. \(\frac{3}{10}+\frac{3}{10}+\frac{2}{10}\) i.e. \(\frac{4}{10}+\frac{2}{10}+\frac{1}{10}\) Answers: c. \(\frac{3}{10}+\frac{3}{10}+\frac{2}{10}\) Explanation: a. \(\frac{5}{10}+\frac{1}{10}+\frac{1}{10}\) = 7/10 b. \(\frac{2}{10}+\frac{2}{10}+\frac{3}{10}\) = 7/10 c. \(\frac{3}{10}+\frac{3}{10}+\frac{2}{10}\) = 8/10 i.e. \(\frac{4}{10}+\frac{2}{10}+\frac{1}{10}\) = 7/10 question 5 Lance wants to find the total length of 3 boards. He uses the expression 3 \(\frac{1}{2}\) + (2 + 4 \(\frac{1}{2}\)). How can Lance rewrite the expression using both the associative and commutative properties of addition? Options: a. 5 + 4 \(\frac{1}{2}\) b. (3 \(\frac{1}{2}\) + 2) + 4 \(\frac{1}{2}\) c. 2 + (3 \(\frac{1}{2}\) + 4 \(\frac{1}{2}\)) i.e. 3 \(\frac{1}{2}\) + (4 \(\frac{1}{2}\) + 2) Answers: It can be written as (3 \(\frac{1}{2}\) + 2) + 4 \(\frac{1}{2}\) question 6 Which of the following statements is true? Options: a. \(\frac{5}{8}>\frac{9}{10}\)
b. \(\frac{5}{12}>\frac{1}{3}\)
c. \(\frac{3}{6}>\frac{4}{5}\)
i.e. \(\frac{1}{2}>\frac{3}{4}\)
Answers:
6/3 cups milk
Explanation:
0.625 > 0.9
0.416 > 0.333
0.5 > 0.8
0.5 > 0.75
Page #477
Question 1.
2 × 3 \(\frac{2}{3}\) = □
_____ \(\frac{□}{□}\)
Answers:
7\(\frac{1}{3}\)
Explanation:
3 \(\frac{2}{3}\) = 11/3
2 x 11/3 = 22/3
22/3 = 7 and remainder 1. So 22/3 = 7 (1/3)
Multiply. Write the product as a mixed number.
question 2
6 × \(\frac{2}{5}\) = _____ \(\frac{□}{□}\)
Answers:
2\(\frac{2}{5}\)
Explanation:
6 × \(\frac{2}{5}\) = 12/5. 12/5 = 2 and remainder . So 12/5 = 2 2/5
question 3
3 × 2 \(\frac{3}{4}\) = _____ \(\frac{□}{□}\)
Answers:
8\(\frac{1}{4}\)
Explanation:
2 \(\frac{3}{4}\) = 11/4
3 x 11/4 = 33/4. 33/4 = 8 and remainder 1. So 33/4 = 8 1/4
question 4
4 × 1 \(\frac{5}{6}\) = _____ \(\frac{□}{□}\)
Answers:
7 \(\frac{2}{6}\)
Explanation:
1 \(\frac{5}{6}\) = 11/6
4 x 11/6 = 44/6. 44/6 = 7 and remainder 2. So 44/6 = 7 2/6
question 5
4 × \(\frac{5}{8}\) = _____ \(\frac{□}{□}\)
Answers:
2\(\frac{1}{2}\)
Explanation:
4 × \(\frac{5}{8}\) = 5/2. 5/2 = 2 and remainder 1. So 5/2 = 2 1/2
question 6
6 × \(\frac{5}{12}\) = _____ \(\frac{□}{□}\)
Answers:
2\(\frac{1}{2}\)
Explanation:
6 × \(\frac{5}{12}\) = 5/2. 5/2 = 2 and remainder 1. So 5/2 = 2 1/2
question 7
3 × 3 \(\frac{1}{2}\) = _____ \(\frac{□}{□}\)
Answers:
10 \(\frac{1}{2}\)
Explanation:
3 \(\frac{1}{2}\) = 7/2
3 x 7/2 = 21/2. 21/2 = 10 and remainder 1. So 21/2 = 10 1/2
question 8
2 × 2 \(\frac{2}{3}\) = _____ \(\frac{□}{□}\)
Answers:
5\(\frac{1}{3}\)
Explanation:
2 \(\frac{2}{3}\) = 8/3
2 x 8/3 = 16/3. 16/3 = 5 and remainder 1. So 16/3 = 5 1/3
question 9
5 × 1 \(\frac{2}{4}\) = _____ \(\frac{□}{□}\)
Answers:
7 \(\frac{1}{2}\)
Explanation:
1 \(\frac{2}{4}\) = 6/4
5 x 6/4 = 30/4 = 15/2. 15/2 = 7 and remainder 1. So 15/2 = 7 1/2
question 10
4 × 2 \(\frac{2}{5}\) = _____ \(\frac{□}{□}\)
Answers:
9\(\frac{3}{5}\)
Explanation:
2 \(\frac{2}{5}\) = 12/5
4 x 12/5 = 48/5. 48/5 = 9 and remainder 3. So 48/5 = 9 3/5
Look for a pattern algebra. Write the unknown number.
question 11
□ × 2 \(\frac{1}{3}\) = 9 \(\frac{1}{3}\)
□ = ______
Answers:
4
Explanation:
2 \(\frac{1}{3}\) = 7/3
9 \(\frac{1}{3}\) = 28/3
Leave the unknown number s.
s x 7/3 = 28/3
s = 4
question 12
3 × 2 \(\frac{2}{□}\) = 7 \(\frac{2}{4}\)
□ = ______
Answers:
4
Explanation:
7 \(\frac{2}{4}\) = 30/4
Leave the unknown number s. If s is 4, then 3 × 2 \(\frac{2}{4}\) = 3 × 10/4 = 30/4.
So the unknown number is 4.
question 13
3 × □ \(\frac{3}{8}\) = 4 \(\frac{1}{8}\)
□ = ______
Answers:
1
Explanation:
4 \(\frac{1}{8}\) = 33/8
Let s be the unknown number. If s is 1, then 3 × 1 \(\frac{3}{8}\) = 3 × 11/8 = 33/8.
question 14
Describe two different ways of writing \(\frac{7}{3}\) as a mixed number.
Enter below:
_________
Answers:
One is 2\(\frac{1}{3}\)
Another is 2 + 1/3
Explanation:
7/3 = 2 and the remainder is 1. So 2 1/3 is a mixed fraction.
The second method is 3/3 + 3/3 + 1/3 = 2 + 1/3.
Page No. 478
Use the recipe for 15-18.
question 15
Otis plant, 3 Chargen Bürgersteigkreide herzustellen. Wie viel Gips braucht er?
______ \(\frac{□}{□}\) Tassen Gips
Answers:
4\(\frac{1}{2}\) Tassen Gips
Explanation:
1\(\frac{1}{2}\) = 3/2 + 3/2 + 3/2 = 9/2
9/2 = 4, der Rest ist 1. Also werden 4 1/2 Tassen Gips für 3 Chargen Straßenkreide benötigt.
Frage 16.
Was ist die Frage? Die Antwort ist \(\frac{32}{3}\).
Geben Sie unten ein:
_________
Answers:
Wie viele Esslöffel Farbpulver werden für 4 Chargen Kreide benötigt?
Frage 17.
Patty hat 2 Tassen warmes Wasser. Ist das genug Wasser, um 4 Chargen Straßenkreide herzustellen? Erklären Sie, woher Sie das wissen, ohne das genaue Produkt zu finden.
______
Answers:
Nr. 4 x 1/2 = 2 und auch 3/4 ist größer als 1/2. Also ist 4 x 3/4 größer als 2.
Frage 18.
Rita macht 2 Tage die Woche Straßenkreide. An jedem dieser Tage verbringt sie 1 \(\frac{1}{4}\) Stunden damit, die Kreide herzustellen. Wie viel Zeit verbringt Rita in 3 Wochen damit, Straßenkreide herzustellen?
______ \(\frac{□}{□}\) Stunden
Answers:
7\(\frac{1}{2}\) Stunden
Explanation:
Rita macht 2 Tage die Woche Straßenkreide. An jedem dieser Tage verbringt sie 1 1/4 Stunden mit der Herstellung der Kreide.
1 Woche = 2 x 5/4 = 10/4 = 5/2.
3 Wochen = 3 x 5/2 = 15/2 = 7 1/2.
Frage 19.
Oliver hat Montag, Mittwoch und Freitag Musikunterricht. Jede Unterrichtsstunde dauert \(\frac{3}{4}\) Stunden. Oliver sagt, dass er diese Woche 3 \(\frac{1}{2}\) Stunden Unterricht haben wird. Erklären Sie, ohne zu multiplizieren, woher Sie wissen, dass Oliver falsch liegt.
Geben Sie unten ein:
__________
Answers:
3/4 ist kleiner als 1 und 1 × 3 = 3. Also ist 3/4 × 3 auch kleiner als 3.
Olivers Antwort, 3 1/2 ist größer als 3, ist also falsch.
Gemeinsamer Kern – Neu – Seite Nr. 479
Multipliziere einen Bruch oder eine gemischte Zahl mit einer ganzen Zahl.
Multiplizieren. Schreiben Sie das Produkt als gemischte Zahl.
Question 1.
Answers:
1\(\frac{5}{10}\)
Explanation:
5 x 3/10 = 15/10 = 1 und der Rest ist 5. Der gemischte Bruch ist also 1 5/10
question 2
3 × \(\frac{3}{5}\) =
______ \(\frac{□}{□}\)
Answers:
1\(\frac{4}{5}\)
Explanation:
3 x 3/5 = 9/5 = 1 und der Rest ist 4. Der gemischte Bruch ist also 1 4/5
question 3
5 × \(\frac{3}{4}\) =
______ \(\frac{□}{□}\)
Answers:
3\(\frac{3}{4}\)
Explanation:
15/4 = 3 und Rest ist 3. Der gemischte Bruch ist also 3 3/4
question 4
4 × 1 \(\frac{1}{5}\) =
______ \(\frac{□}{□}\)
Answers:
4\(\frac{4}{5}\)
Explanation:
1 \(\frac{1}{5}\) = 6/5.
4 x 6/5 = 24/5 = 4 und der Rest ist 4. Der gemischte Bruch ist also 4 4/5
question 5
2 × 2 \(\frac{1}{3}\) =
______ \(\frac{□}{□}\)
Answers:
4\(\frac{2}{3}\)
Explanation:
2 \(\frac{1}{3}\) = 7/3.
2 x 7/3 = 14/3.
14/3 = 4 and the remainder is 2. So, the mixed fraction is 4 2/3
question 6
5 × 1 \(\frac{1}{6}\) =
______ \(\frac{□}{□}\)
Answers:
5\(\frac{5}{6}\)
Explanation:
1 \(\frac{1}{6}\) = 7/6
5 x 7/6 = 35/6.
35/6 = 5 and the remainder is 5. So, the mixed fraction is 5 5/6
question 7
2 × 2 \(\frac{7}{8}\) =
______ \(\frac{□}{□}\)
Answers:
6\(\frac{1}{1}\)
Explanation:
2 \(\frac{7}{8}\) = 23/8
2 x 23/8 = 46/8 = 6 1/1
question 8
7 × 1 \(\frac{3}{4}\) =
______ \(\frac{□}{□}\)
Answers:
9\(\frac{3}{4}\)
Explanation:
1 \(\frac{3}{4}\) = 7/4
7 x 7/4 = 39/4
39/4 = 9 and the remainder is 3. So, the mixed fraction is 9 3/4
question 9
8 × 1 \(\frac{3}{5}\) =
______ \(\frac{□}{□}\)
Answers:
12\(\frac{4}{5}\)
Explanation:
1 \(\frac{3}{5}\) = 8/5
8 x 8/5 = 64/5
64/5 = 12 and the remainder is 4. So, the mixed fraction is 12 4/5
solve problems
question 10
Brielle exercises for \(\frac{3}{4}\) hour each day for 6 days in a row. Altogether, how many hours does she exercise during the 6 days?
______ \(\frac{□}{□}\)
Answers:
4\(\frac{2}{4}\)
Explanation:
6 x 3/4 = 18/4 = 4 and the remainder is 2. So, the mixed fraction is 4 2/4.
question 11
A recipe for quinoa calls for 2 \(\frac{2}{3}\) cups of milk. Conner wants to make 4 batches of quinoa. How much milk does he need?
______ \(\frac{□}{□}\)
Answers:
10\(\frac{2}{3}\)
Explanation:
quinoa calls for 8/3 cups of milk. Conner wants to make 4 batches of quinoa.
So, 4 x 8/3 = 32/3 = 10 and the remainder is 2. So, the mixed fraction is 10 2/3
Common Core – New – Page No. 480
Lesson Check
Question 1.
A mother is 1 \(\frac{3}{4}\) times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Options:
a. 4 \(\frac{3}{4}\) feet
b. 5 \(\frac{1}{4}\) feet
c. 5 \(\frac{1}{2}\) feet
i.e. 5 \(\frac{3}{4}\) feet
Answers:
b. 5 \(\frac{1}{4}\) feet
Explanation:
A mother is 1 3/4 times as tall as her son. Her son is 3 feet tall.
So, 3 x 7/4 = 21/4 = 5 and the remainder is 1. The mixed fraction is 5 1/4 feet.
question 2
The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 \(\frac{1}{3}\) times the width of the banner. How long is the banner?
Options:
a. 8 \(\frac{1}{3}\) feet
b. 8 \(\frac{3}{8}\) feet
c. 10 \(\frac{1}{3}\) feet
i.e. 10 \(\frac{2}{3}\) feet
Answers:
i.e. 10 \(\frac{2}{3}\) feet
Explanation:
The cheerleaders are making a banner that is 8 feet wide. he length of the banner is 1 1/3 times the width of the banner.
So, 8 x 4/3 = 32/3 =10 and the remainder is 2. The mixed fraction is 10 2/3 feet.
Spiral Review
question 3
Karleigh walks \(\frac{5}{8}\) mile to school every day. How far does she walk to school in 5 days?
Options:
a. \(\frac{5}{40}\) mile
b. \(\frac{25}{40}\) mile
c. \(\frac{10}{8}\) miles
i.e. \(\frac{25}{8}\) miles
Answers:
i.e. \(\frac{25}{8}\) miles
Explanation:
5 x 5/8 = 25/8.
question 4
Which number is a multiple of \(\frac{4}{5}\)?
Options:
a. \(\frac{8}{10}\)
b. \(\frac{12}{15}\)
c. \(\frac{16}{20}\)
i.e. \(\frac{12}{5}\)
Answers:
i.e. \(\frac{12}{5}\)
Explanation:
The multiple of \(\frac{4}{5}\) has the denominator 5. So, \(\frac{12}{5}\) is the correct answer.
question 5
Jo cut a key lime pie into 8 equal-size slices. The next day, \(\frac{7}{8}\) of the pie is left. Jo puts each slice on its own plate. How many plates does she need?
Options:
a. 5
b. 6
c. 7
i.e. 8th
Answers:
c. 7
Explanation:
Jo cut a key lime pie into 8 equal-size slices. The next day, \(\frac{7}{8}\) of the pie is left. Jo puts each slice on its own plate. She needs 7 plates.
question 6
Over the weekend, Ed spent 1 \(\frac{1}{4}\) hours doing his math homework and 1 \(\frac{3}{4}\) hours doing his science project. Altogether, how much time did Ed spend doing homework over the weekend?
Options:
a. 3 Stunden
b. 2 \(\frac{3}{4}\) hours
c. 2 \(\frac{1}{2}\) hours
i.e. 2 hours
Answers:
a. 3 Stunden
Explanation:
5/4 + 7/4 = 12/4 = 3 hours
Page No. 483
Question 1.
Komodo dragons are the heaviest lizards on Earth. A baby Komodo dragon is 1 \(\frac{1}{4}\) feet long when it hatches. Its mother is 6 times as long. How long is the mother?
First, draw a bar model to show the problem.
Type below:
_________
Answers:
Question 1.
Then, write the equation you need to solve.
Type below:
_________
Answers:
A baby Komodo dragon is 5/4 feet.
Her mother is 6 x 5/4 = 30/4 feet long.
Question 1.
Finally, find the length of the mother Komodo dragon.
The mother Komodo dragon is _____ feet long.
______ \(\frac{□}{□}\)
Answers:
7\(\frac{2}{4}\)
Explanation:
30/4 = 7 and the remainder is 2. The mixed fraction is 7 2/4 feet.
question 2
What if a male Komodo dragon is 7 times as long as the baby Komodo dragon? How long is the male? How much longer is the male than the mother?
______ \(\frac{□}{□}\) feet long
______ \(\frac{□}{□}\) feet longer
Answers:
35/4 feet long
5/4 feet longer
Explanation:
If a male Komodo dragon is 7 times as long as the baby Komodo dragon, then 7 x 5/4 = 35/4.
35/4 – 30/4 = 5/4 feet male Komodo dragon is grater than female Komodo dragon.
question 3
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 \(\frac{1}{2}\) grams. A Rufous hummingbird’s mass is 3 times the mass of the Bee hummingbird. What is the mass of a Rufous hummingbird?
______ \(\frac{□}{□}\) grams
Answers:
9/2 grams
Explanation:
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 \(\frac{1}{2}\) grams. A Rufous hummingbird’s mass is 3 times the mass of the Bee hummingbird.
3 x 3/2 = 9/2 grams.
question 4
Sloane needs \(\frac{3}{4}\) hour to drive to her grandmother’s house. It takes her 5 times as long to drive to her cousin’s house. How long does it take to drive to her cousin’s house?
______ \(\frac{□}{□}\) hours
Answers:
\(\frac{15}{4}\) hours
Explanation:
5 x 3/4 = 15/4
To drive to her cousin’s house, it takes 15/4 hours.
Page No. 484
Use the table for 5 and 6.
Payton has a variety of flowers in her garden. The table shows the average heights of the flowers.
tulip = 5/4 = 1.25
daisy = 5/2 = 2.5
tiger lily = 10/3 = 3.33
sunflower = 31/4 = 7.75
question 5
Make Sense of Problems What is the difference between the height of the tallest flower and the height of the shortest flower in Payton’s garden?
______ \(\frac{□}{□}\) feet
Answers:
6\(\frac{2}{4}\) feet
Explanation:
tallest flower = sunflower
shortest flower = tulip
Difference between the tallest flower and shortest flower = 31/4 – 5/4 = 26/4 =6 and the remainder is 2. So, the mixed fraction is 6 2/4 feet.
question 6
Payton says her average sunflower is 7 times the height of her average tulip. Do you agree or disagree with her statement? Explain your reasoning.
Type below:
_________
Answers:
I will disagree with her statement. Tulip = 5/4. 7 x 5/4 = 35/4. 31/4 is smaller than 35/4. Som the statement is not correct.
question 7
Miguel ran 1 \(\frac{3}{10}\) miles on Monday. On Friday, Miguel ran 3 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday?
______ \(\frac{□}{□}\) miles
Answers:
3\(\frac{9}{10}\) miles
Explanation:
Miguel ran 13/10 miles on Monday.
On Friday, 3 x 13/10 = 39/10 miles = 3 and the remainder is 9. the mixed fraction is 3 9/10 miles
question 8
The table shows the lengths of different types of turtles at a zoo.
For numbers 8a–8d, select True or False for each statement.
a. Daisy is 4 times as long as Tuck.
I. TRUE
ii. NOT CORRECT
Answers:
ii. NOT CORRECT
Explanation:
Tuck = 7/6
Lolly = 35/6
Daisy = 7/2
7/6 x 4 = 28/6.
So, the statement is false.
question 8
b. Lolly is 5 times as long as Tuck.
I. TRUE
ii. NOT CORRECT
Answers:
I. TRUE
Explanation:
5 x 7/6 = 35/6.
So, the statement is true.
question 8
c. Daisy is 3 times as long as Tuck.
I. TRUE
ii. NOT CORRECT
Answers:
I. TRUE
Explanation:
3 x 7/6 = 21/6 = 7/2
So, the statement is true.
question 8
i.e. Lolly is 2 times as long as Daisy.
I. TRUE
ii. NOT CORRECT
Answers:
ii. NOT CORRECT
Explanation:
2 x 7/2 = 7.
So, the statement is false.
Common Core – New – Page No. 485
Problem Solving Comparison
Problems with Fractions
Read each problem and solve.
Question 1.
A shrub is 1 \(\frac{2}{3}\) feet tall. A small tree is 3 times as tall as the shrub. How tall is the tree?
Answers:
5 Fuß
Explanation:
question 2
You run 1 \(\frac{3}{4}\) miles each day. Your friend runs 4 times as far as you do. How far does your friend run each day?
__________ miles
Answers:
7 miles
Explanation:
4 x 7/4 = 7 miles each day
question 3
At the grocery store, Ayla buys 1 \(\frac{1}{3}\) pounds of ground turkey. Tasha buys 2 times as much ground turkey as Ayla. How much ground turkey does Tasha buy?
______ \(\frac{□}{□}\) pounds
Answers:
2\(\frac{2}{3}\) pounds
Explanation:
2 x 4/3 = 8/3 = 2 and the remainder is 2. The mixed fraction is 2 2/3 pounds
question 4
When Nathan’s mother drives him to school, it takes \(\frac{1}{5}\) hour. When Nathan walks to school, it takes him 4 times as long to get to school. How long does it take Nathan to walk to school?
\(\frac{□}{□}\) hours
Answers:
\(\frac{4}{5}\) hours
Explanation:
4 x 1/5 = 4/5 hour
Common Core – New – Page No. 486
Lesson Check
Question 1.
A Wilson’s Storm Petrel is a small bird with a wingspan of 1 \(\frac{1}{3}\) feet. A California Condor is a larger bird with a wingspan almost 7 times as wide as the wingspan of the petrel. About how wide is the wingspan of the California Condor?
Options:
a. \(\frac{4}{21}\) foot
b. 2 \(\frac{1}{3}\) feet
c. 7 \(\frac{1}{3}\) feet
i.e. 9 \(\frac{1}{3}\) feet
Answers:
i.e. 9 \(\frac{1}{3}\) feet
Explanation:
1 1/3 = 4/3.
7 x 4/3 = 28/3 feet = 9 and the remainder is 1. The mixed fraction is 9 1/3
question 2
The walking distance from the Empire State Building in New York City to Times Square is about \(\frac{9}{10}\) mile. The walking distance from the Empire State Building to Sue’s hotel is about 8 times as far. About how far is Sue’s hotel from the Empire State Building?
Options:
a. \(\frac{9}{80}\) mile
b. \(\frac{72}{80}\) mile
c. 1 \(\frac{7}{10}\) miles
i.e. 7 \(\frac{2}{10}\) miles
Answers:
i.e. 7 \(\frac{2}{10}\) miles
Explanation:
8 x 9/10 mile = 72/10 mile = 7 and the remainder is 2. The mixed fraction is 7 2/10 miles.
Spiral Review
question 3
Which of the following expressions is NOT equal to 3 × 2 \(\frac{1}{4}\)?
Options:
a. 3 × \(\frac{9}{4}\)
b. (3 × 2) + (3 × \(\frac{1}{4}\))
c. 6 \(\frac{3}{4}\)
i.e. 3 × 2 + \(\frac{1}{4}\)
Answers:
i.e. 3 × 2 + \(\frac{1}{4}\)
Explanation:
3 × 2 \(\frac{1}{4}\) = 3 x 9/4 = 27/4
a. 3 × \(\frac{9}{4}\) = 27/4
b. (3 × 2) + (3 × \(\frac{1}{4}\)) = 6 + 3/4 = 27/4
c. 6 \(\frac{3}{4}\) = 27/4
i.e. 3 × 2 + \(\frac{1}{4}\) = 6 + 1/4 = 25/4
question 4
At a bake sale, Ron sells \(\frac{7}{8}\) of an apple pie and \(\frac{5}{8}\) of a cherry pie. Altogether, how much pie does he sell at the bake sale?
Options:
a. \(\frac{2}{8}\)
b. \(\frac{12}{16}\)
c. \(\frac{12}{8}\)
i.e. \(\frac{35}{8}\)
Answers:
c. \(\frac{12}{8}\)
Explanation:
7/8 + 5/8 = 12/8
The bake sale 12/8 pie.
question 5
On a ruler, which measurement is between \(\frac{3}{16}\) inch and \(\frac{7}{8}\) inch?
Options:
a. \(\frac{1}{16}\) inch
b. \(\frac{1}{8}\) inch
c. \(\frac{11}{16}\) inch
i.e. \(\frac{15}{16}\) inch
Answers:
c. \(\frac{11}{16}\) inch
question 6
Which of the following numbers is composite?
Options:
a. 4
b. 3
c. 2
i.e. 1
Answers:
a. 4
Explanation:
4 has more than 2 factors.
Page No. 487
Question 1.
What are the next four multiples of \(\frac{1}{8}\)?
Type below:
_________
Answers:
2/8, 3/8, 4/8, 5/8
Explanation:
1 x 1/8 = 1/8.
2 x 1/8 = 2/8.
3 x 1/8 = 3/8.
4 x 1/8 = 4/8.
5 x 1/8 = 5/8.
Next four multiples of 1/8 are 2/8, 3/8, 4/8, 5/8.
question 2
Marta is making 3 servings of fruit salad. She adds \(\frac{3}{8}\) cup blueberries for each serving. Her measuring cup holds \(\frac{1}{8}\) cup. How many times must Marta measure \(\frac{1}{8}\) cup of blueberries to have enough for the fruit salad? Shade the models to show your answer.
Marta must measure \(\frac{1}{8}\) _________ cup times.
_________
Answers:
Marta must measure \(\frac{1}{8}\) 9 cup times.
question 3
Mickey exercises \(\frac{3}{4}\) hour every day. How many hours does he exercise in 8 days?
_____ hours
Answers:
6 hours
Explanation:
8 x 3/4 = 24/4 = 6
Page No. 488
question 4
Molly is baking for the Moms and Muffins event at her school. She will bake 4 batches of banana muffins. She needs 1 \(\frac{3}{4}\) cups of bananas for each batch of muffins.
Teil A
Molly completed the multiplication below and said she needed 8 cups of bananas for 4 batches of muffins. What is Molly’s error?
\(4 \times 1 \frac{3}{4}=4 \times \frac{8}{4}=\times \frac{32}{4}=8\)
Type below:
_________
Answers:
4 x 1 3/4 = 4 x 8/4 = 8
Molly did not write the mixed number, 1 3/4 as a fraction correctly. 1 3/4 is not equal to 8/4.
question 4
Part B
What is the correct number of cups Molly needs for 4 batches of muffins? Explain how you found your answer.
_____ cups
Answers:
7 cups
Explanation:
She will bake 4 batches of banana muffins. She needs 7/4 cups of bananas for each batch of muffins.
So, if she prepares 4 batches of muffins = 4 x 7/4 = 7 cups of banana.
question 5
Which fraction is a multiple of \(\frac{1}{9}\)? Mark all that apply.
Options:
a. \(\frac{3}{9}\)
b. \(\frac{9}{12}\)
c. \(\frac{2}{9}\)
i.e. \(\frac{4}{9}\)
e. \(\frac{9}{10}\)
f. \(\frac{9}{9}\)
Answers:
a. \(\frac{3}{9}\)
c. \(\frac{2}{9}\)
i.e. \(\frac{4}{9}\)
f. \(\frac{9}{9}\)
Explanation:
The multiples of \(\frac{1}{9}\) have the denominator of 9.
question 6
Mimi recorded a soccer game that lasted 1 \(\frac{2}{3}\) hours. She watched it 3 times over the weekend to study the plays. How many hours did Mimi spend watching the soccer game? Show your work.
_____ hours
Answers:
5 hours
Explanation:
3 x 1 2/3 = 3 x 5/3 = 5 hours.
question 7
Theo is comparing shark lengths. He learned that a horn shark is 2 \(\frac{3}{4}\) feet long. A blue shark is 4 times as long. Complete the model. Then find the length of a blue shark.
A blue shark is ____ feet long.
_____
Answers:
4 x 11/4 = 11.
A blue shark is 11 feet long.
Page No. 489
question 8
Joel made a number line showing the multiples of \(\frac{3}{5}\).
The product 2 × \(\frac{3}{5}\) is shown by the fraction _________ on the number line.
\(\frac{□}{□}\)
Answers:
The product 2 × \(\frac{3}{5}\) is shown by the fraction \(\frac{6}{5}\) on the number line.
question 9
Bobby has baseball practice Monday, Wednesday, and Friday. Each practice is 2 \(\frac{1}{2}\) hours. Bobby says he will have practice for 4 hours this week.
Teil A
Without multiplying, explain how you know Bobby is incorrect.
Type below:
_________
Answers:
Bobby needs to find 3 × 2 1/2. If he estimates 3 × 2 hours, then he finds the practice is at least 6 hours. 6 is greater than 4, so Bobby’s answer is incorrect.
question 9
Part B
How long will Bobby have baseball practice this week? Write your answer as a mixed number. Show your work.
______ \(\frac{□}{□}\) hours
Answers:
7\(\frac{1}{2}\) hours
Explanation:
3 x 2 1/2 = 3 x 5/2 = 15/2 = 7 1/2
question 10
Look at the number line. Write the missing fractions.
Type below:
_________
Answers:
9/6, 10/6, 11/6, 12/6
question 11
Ana’s dachshund weighed 5 \(\frac{5}{8}\) pounds when it was born. By age 4, the dog weighed 6 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Ana’s dog at age 4. Not all numbers and symbols may be used.
Type below:
_________
Answers:
Page No. 490
question 12
Asta made a fraction number line to help her find 3 × \(\frac{4}{5}\).
Select a way to write 3 × \(\frac{4}{5}\) as the product of a whole number and a unit fraction.
Type below:
_________
Answers:
12 × \(\frac{1}{5}\)
Explanation:
3 x 4/5 = 12/5 = 12 x 1/5.
Question 13.
Yusif wanted to give \(\frac{1}{3}\) of his total toy car collection to 2 of his friends. How many of his toy cars will he give away?
\(\frac{□}{□}\)
Answers:
\(\frac{2}{3}\)
Explanation:
Yusif wanted to give \(\frac{1}{3}\) of his total toy car collection to 2 of his friends. He has three toy cars in total. He has given 2 cars out of 3 cars. So, the answer is \(\frac{2}{3}\).
Question 14.
Select the correct product for the equation.
4 × \(\frac{5}{8}\) = □ 4 × \(\frac{4}{8}\) = □
Type below:
_________
Answers:
4 × \(\frac{5}{8}\) = \(\frac{20}{8}\)
4 × \(\frac{4}{8}\) = \(\frac{16}{8}\)
Page No. 491
Question 15.
The lengths of different types of snakes at a zoo are shown in the table.
For numbers 15a–15d, select True or False for the statement.
a. Bobby is 4 times as long as Kenny.
I. TRUE
ii. NOT CORRECT
Answers:
ii. NOT CORRECT
Explanation:
Kenny = 3/2
Bobby = 9/2
Puck = 15/2
4 x 3/2 =6
So, the statement is false.
Question 15.
b. Bobby is 3 times as long as Kenny.
I. TRUE
ii. NOT CORRECT
Answers:
I. TRUE
Explanation:
3 x 3/2 = 9/2
So, the statement is true.
Question 15.
c. Puck is 5 times as long as Kenny.
I. TRUE
ii. NOT CORRECT
Answers:
I. TRUE
Explanation:
5 x 3/2 = 15/2
So, the statement is true.
Question 15.
i.e. Puck is 2 times as long as Bobby.
I. TRUE
ii. NOT CORRECT
Answers:
ii. NOT CORRECT
Explanation:
2 x 9/2 = 9
So, the statement is false.
Question 16.
Hank used 3 \(\frac{1}{2}\) bags of seed to plant grass in his front yard. He used 3 times as much seed to plant grass in his back yard. How much seed did Hank need for the backyard?
_____ \(\frac{□}{□}\)
Answers:
10\(\frac{1}{2}\)
Explanation:
3 x 7/2 = 21/2 = 10 and the remainder is 1. The answer is 10 1/2.
Question 17.
Jess made a big kettle of rice and beans. He used 1 \(\frac{1}{2}\) cups of beans. He used 4 times as much rice.
Teil A
Draw a model to show the problem.
Type below:
_________
Answers:
Question 17.
Part B
Use your model to write an equation. Then solve the equation to find the amount of rice Jess needs.
Type below:
_________
Answers:
6 cups
Explanation:
Rice = 4 x 3/2 = 12/2 = 6.
Jess needs 6 cups of rice.
Page No. 492
Question 18.
Mrs. Burnham is making modeling clay for her class. She needs \(\frac{2}{3}\) cup of warm water for each batch.
Teil A
Mrs. Burnham has a 1-cup measure that has no other markings. Can she make 6 batches of modeling clay using only the 1-cup measure? Describe two ways you can find the answer.
Type below:
_________
Answers:
Yes. She needs 6 x 2/3 cups of water. 6 x 2/3 = 12/3 = 4 cups.
So, she can use the 1-cup measure 4 times to make 6 batches.
Question 18.
Part B
The modeling clay recipe also calls for \(\frac{1}{2}\) cup of cornstarch. Nikki says Mrs. Burnham will also need 4 cups of cornstarch. Do you agree or disagree? Explain.
Type below:
_________
Answers:
Disagree; 6 x 1/2 = 3 cups of cornstrach.
She doesn’t need 4 cups of cornstarch.
Question 19.
Donna buys some fabric to make place mats. She needs \(\frac{1}{5}\) yard of each type of fabric. She has 9 different types of fabrics to make her design. Use the following equation. Write the number in the box to make the statement true.
\(\frac{9}{5}\) = ______ × \(\frac{1}{5}\)
Answers:
9
Question 20.
Mr. Tuyen uses \(\frac{5}{8}\) of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks? Write your answer two different ways.
Mr. Tuyen uses __________ or _________ tanks of gas.
Type below:
_________
Answers:
Mr. Tuyen uses 25/8 or 3\(\frac{1}{8}\) tanks of gas
Explanation:
5 x 5/8 = 25/8 = 3 and the remainder is 1. So, the mixed fraction is 3 1/8.
Question 21.
Rico is making 4 batches of salsa. Each batch needs \(\frac{2}{3}\) cup of corn. He only has a \(\frac{1}{3}\)– cup measure. How many times must Rico measure \(\frac{1}{3}\) cup of corn to have enough for all of the salsa?
______ times
Answers:
8 times
Explanation:
Rico is making 4 batches of salsa. Each batch needs \(\frac{2}{3}\) cup of corn. He only has a \(\frac{1}{3}\)– cup measure.
So, he needs 2x 1/3 cups for one batch. For 4 batches of salsa, 4 x 2 = 8 cups of corn required.
Page No. 497
Question 1.
Write five tenths as a fraction and as a decimal.
Fraction: __________ Decimal: __________
Type below:
_________
Answers:
5/10 = 0.5
Write the fraction or mixed number and the decimal shown by the model.
question 2
Type below:
_________
Answers:
3\(\frac{2}{10}\)
three and two-tenths
question 3
Type below:
_________
Answers:
\(\frac{8}{10}\)
Write the fraction or mixed number and the decimal shown by the model.
question 4
Type below:
_________
Answers:
4/10 = 0.4
Explanation:
4 boxes are shaded out of 10 boxes. So, the fraction is 4/10.
question 5
Type below:
_________
Answers:
1\(\frac{2}{10}\)
question 6
Type below:
_________
Answers:
2\(\frac{9}{10}\)
question 7
Type below:
_________
Answers:
3\(\frac{4}{10}\)
Practice: Copy and Solve Write the fraction or mixed number as a decimal.
question 8
5 \(\frac{9}{10}\) = _____
Answers:
\(\frac{59}{10}\)
Explanation:
Multiply 10 x 5 = 50.
Add 50 + 9 = 59.
The fraction is 59/10
question 9
\(\frac{1}{10}\) = _____
Answers:
0.1
question 10
\(\frac{7}{10}\) = _____
Answers:
0.7
question 11
8 \(\frac{9}{10}\) = _____
Answers:
\(\frac{89}{10}\)
Explanation:
Multiply 10 x 8 = 80.
Add 80 + 9 = 89.
The fraction is 89/10
question 12
\(\frac{6}{10}\) = _____
Answers:
0.6
Question 13.
6 \(\frac{3}{10}\) = _____
Answers:
\(\frac{63}{10}\)
Explanation:
Multiply 10 x 6 = 60.
Add 60 + 3 = 63.
The fraction is 63/10
Question 14.
\(\frac{5}{10}\) = _____
Answers:
0.5
Question 15.
9 \(\frac{7}{10}\) = _____
Answers:
\(\frac{97}{10}\)
Explanation:
Multiply 10 x 9 = 90.
Add 90 +7 = 97.
The fraction is 97/10
Page No. 498
Use the table for 16−19.
Question 16.
What part of the rocks listed in the table are igneous? Write your answer as a decimal.
_____
Answers:
0.5
Question 17.
Sedimentary rocks make up what part of Ramon’s collection? Write your answer as a fraction and in word form.
Type below:
_________
Answers:
3/10 and three-tenths
Question 18.
What part of the rocks listed in the table are metamorphic? Write your answer as a fraction and as a decimal.
Type below:
_________
Answers:
2/10 or 0.2
Question 19.
Communicate Niki wrote the following sentence in her report: “Metamorphic rocks make up 2.0 of Ramon’s rock collection.” Describe her error.
Type below:
_________
Answers:
Metamorphic rocks make up 2.0 of Ramon’s rock collection. But from the given table, it is clearly mentioned that the answer is 0.2. So, she made a mistake to make up Ramon’s rock collection.
Question 20.
Josh paid for three books with two $20 bills. He received $1 in change. Each book was the same price. How much did each book cost?
$ _____ each book
Answers:
$19/3 for each book.
Explanation:
Josh paid for three books with two $20 bills. He received $1 in change. So, he paid $19 for three books. As the each book has same price, the answer is $19/3 for each book.
Question 21.
Select a number shown by the model. Mark all that apply.
Type below:
_________
Answers:
1\(\frac{7}{10}\)
1.7
Fazit:
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