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Table of Contents
What are the 4 steps to subtracting fractions?
Step 1: Determine the LCM of the denominator values. Step 2: Convert the denominator to the LCM value by multiplying the numerator and denominator using the same number. Step 3: Subtract the numerators, once the fractions have the same denominator values. Step 4: Simplify the fraction, if required.
How do you subtract mixed fractions step by step?
Step 1– Convert the mixed numbers into improper fractions. Step 2– Find the common multiple of both the denominators. Step 3– Convert the fractions as common denominators. Step 4– Solve the fractions.
How to Subtract Fractions
Fractions that are more than one integer are called mixed fractions or mixed numbers.
For example: Santa Claus has 3 chocolates and each chocolate has 3 bars. He eats 7 bars of chocolate, i.e. 2 whole pralines and 1 bar of the third chocolate.
Real life examples of subtracting mixed numbers:
How do you subtract mixed numbers?
The operation for subtracting mixed numbers is the same as adding mixed numbers
Case 1: Subtracting mixed numbers with the same denominator
Follow the given steps to subtract mixed numbers with the same denominators:
Step 1– Subtract the wholes.
Step 2 – Convert the fractions to improper fractions.
Step 3 – Subtract the fraction.
Step 4 – Convert the improper fraction to a mixed number if needed.
Step 5- Write the mixed number using whole numbers and the fraction.
Example 1: 5 7⁄ 3 – 3 2⁄ 3
Step 1 – Subtract 3 from 5.
5 – 3 = 2
Step 2 – Subtract Fractions:
7⁄3 – 2⁄3
Step 3 – Write the fraction with whole.
5 7⁄3 – 3 2⁄3 = 2 5⁄3
Case 2: Subtracting mixed numbers with different denominators
Follow the given steps to subtract mixed numbers with different denominators:
Step 1- Convert the mixed numbers to improper fractions.
Step 2– Find the common multiple of the two denominators.
Step 3 – Convert the fractions to common denominators.
Step 4– Solve the fractions.
Step 5 – Convert the fraction to a mixed number.
Example 2: 6 1⁄2 – 1 3⁄4
Step 1- Convert the mixed numbers to improper fractions.
1 3⁄2 – 7⁄4
Step 2– Find the common multiple of the two denominators 2 and 4.
The common multiple of 2 and 4 is 4.
Step 3 – Convert the fractions to common denominators.
Step 4– Solve the fractions
26⁄4 – 7⁄4 = 19⁄4
Step 5 – Convert the fraction to a mixed number.
19⁄ 4 = 4 3⁄ 4
How To Subtract Fractions – Quick and Easy Fractions
See some more details on the topic subtract 4 from 1 6 of 42 here:
Subtract 4/42 from 1/6, Solve 1/6 – 4/42 as a fraction
Subtract 4/42 from 1/6. 1/6 – 4/42 is 1/14. Steps for subtracting fractions. Find the least common denominator or LCM of the two denominators:
Source: answers.everydaycalculation.com
Date Published: 10/7/2021
View: 398
What is 1/6 of 42? (Calculate 1/6 of 42) – Visual Fractions
In this article, we’ll show you exactly how to calculate 1/6 of 42 so you can work out the fraction of any number quickly and easily!
Source: visualfractions.com
Date Published: 1/7/2022
View: 335
b. Subtract 4 from 1/6 of 42. – Gauthmath
Subtract from of . b. Subtract 4 from 1/6 of 42. Good Question (88). Answer. 4.8. (123 votes). Correct answer (65). Excellent Handwriting (54).
Source: www.gauthmath.com
Date Published: 12/28/2022
View: 2125
Signed Number
6 – 7 = -1 (using the signs in front of the numbers, use addition rules-signs are different, subtract and take the sign of the largest numeral); 6 – 7 + 3 – 4 – …
Source: mgccc.edu
Date Published: 3/2/2022
View: 2277
Subtract 4/42 from 1/6, Solve 1/6
Subtract 4/42 from 1/6
1/6 – 4/42 is 1/14.
Steps to subtract fractions
Find the lowest common denominator or LCM of the two denominators:
LCM of 6 and 42 is 42
Next, find the equivalent fraction of both fractions with denominator 42. For the 1st fraction, since 6 × 7 = 42,
1 / 6 = 1 × 7 / 6 × 7 = 7 / 42 Likewise for the 2nd fraction, since 42 × 1 = 42,
4 / 42 = 4 × 1 / 42 × 1 = 4 / 42 Subtract the same two fractions:
7 / 42 – 4 / 42 = 7 – 4 / 42 = 3 / 42 After reducing the fraction, the answer is 1 / 14
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6 of 42? (Calculate 1
What is 1/6 of 42?
In this article, we’ll show you exactly how to calculate 1/6 of 42 so you can calculate the fraction of any number quickly and easily! Let’s get to the math!
Do you want to learn quickly or show students how to convert 1/6 of 42? Play this very fast and fun video now!
You probably know that the number above the fraction bar is called the numerator and the number below it is called the denominator. To calculate the fraction of a number, we must first convert that whole number to a fraction as well.
Here’s a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:
42 / 1
So after converting 42 to a fraction, to calculate the answer we put the fraction 1/6 next to our new fraction 42/1 so we can multiply those two fractions.
That’s right, all you have to do is convert the whole number to a fraction and then multiply the numerator and denominator. Let’s take a look:
1 x 42 / 6 x 1 = 42 / 6
In this case, our new fraction can indeed be further simplified. To do this, we need to find the greatest common divisor of both numbers.
If you wish, you can calculate this yourself using our handy GCF calculator. We’ve already done that, and the GCF of 42 and 6 is 6.
We can now divide both the new numerator and denominator by 6 to simplify this fraction to its smallest terms.
42/6 = 7
6/6 = 1
Putting that together, we can see that our full answer is:
7/1
The full and simplified answer to what 1/6 of 42 is is:
7
Hopefully this tutorial helped you understand how to find the fraction of an integer. You can now try more numbers to practice your newfound fractional skills.
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Fraction of a number calculator
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How to Subtract Fractions
subtract fractions
Fraction subtraction involves the subtraction of two or more fractions with the same or different denominators. Equal fractions can be subtracted directly, but for unequal fractions we must first make the denominators equal and then subtract them. In mathematics, a fraction is a part of a set of the whole. The total can be any number, special value, or item. We can perform various arithmetic operations on fractions, such as addition, subtraction, multiplication, and division.
In this article, we will learn what is subtracting fractions and subtracting fractions with equal denominators versus denominators and integers. Also learn subtraction of mixed fractions with many solved examples.
Introduction to Fractions
A fraction is a numeric value that represents the parts of the whole. A fraction has two parts, namely the numerator and the denominator. The top of the fraction is called the numerator and the bottom of the fraction is called the denominator. For example, 7/9 is a fraction. Here 7 is the numerator and 9 is the denominator. There are different types of fractions based on the numerator and the denominator. They are:
Proper Fraction: In a proper fraction, the numerator is less than the denominator. Example: ⅗, ⅖ etc.
Improper Fraction: In improper fractions, the numerator is greater than the denominator. Example: 07.09., 09.11. etc.
Mixed Fraction: The mixed fraction is the combination of the real fraction and a whole number. Example 2 ⅘, 4 ⅔ etc.
Unit Fraction: For unit fraction, the numerator should be equal to 1. For example ⅓, ¼, ⅕ etc.
Equivalent Fractions: The equivalent fractions are the fractions that represent the same value. If we multiply or divide the numerator and denominator by the same value, we get the corresponding fractions. Example: 2/4, 4/8, 8/16, etc
Equal fractions: Fractions with the same denominator are called equal fractions. Example: 3/2, 5/2, 7/2, etc
Unlike Fractions: Fractions with different denominators are called unlike fractions. Example: 2/7, 2/9, 3/11 and so on.
What is subtracting fractions?
In mathematics, fraction subtraction means the process of subtracting two fractional values. We learned to subtract the whole numbers. For example, subtracting 3 from 5 gives 2. (i.e. 5-3 = 2). Similarly, we can perform subtraction operations on fractions. Subtracting fractions includes:
Subtract fractions with the same denominator
Subtract fractions with unequal denominators
Subtract mixed fractions
Subtract fractions with whole numbers
Now let’s discuss all these subtracting fractions in detail with examples.
Subtract fractions with the same denominator
Subtracting fractions with the same denominator means subtracting fractions with the same denominator values. Follow the steps below to subtract equal fractions.
Step 1: Keep the denominator values unchanged and subtract the numerator value giving the result.
Step 2: If necessary, simplify the fraction.
Example 1:
Subtract 7/12 from 9/12.
Solution:
Given: (9/12) – (7/12)
Here the denominator values are equal and keep the value as it is.
Now subtract the counter values
(9/12) – (7/12) = (9-7)/12
(9/12) – (7/12) = 2/12
Simplify the fraction and we get
(9/12) – (7/12) = 1/6.
Therefore (9/12) – (7/12) = 1/6.
Subtract fractions with unequal denominators
Subtracting fractions with different denominators means subtracting fractions with different denominator values. Complete the following steps to subtract the odd fractions.
Step 1: Determine the LCM of the denominator values.
Step 2: Convert the denominator to the LCM value by multiplying the numerator and denominator by the same number.
Step 3: Subtract the numerators once the fractions have the same denominator values.
Step 4: Simplify the fraction if necessary.
Example 2:
Subtract 2/3 from 3/5.
Solution:
Given: (3/5) – (2/3)
Find the LCM of 3 and 5. The LCM of 3 and 5 is 15.
To make the denominators the same, convert the denominators to the LCM value.
So (3/5) – (2/3) = (9/15) – (10/15)
Now the denominators are equal and we can subtract the numerator values.
(3/5) – (2/3) = (9/15) – (10/15)
= (9-10)/15
= -1/15
Therefore (3/5) – (2/3) = -1/15.
Subtract mixed fractions
When subtracting mixed fractions, do the following:
Step 1: Convert mixed fractions to improper fractions.
Step 2: Now check the denominator values
If the fractions are equal fractions, follow the procedure for subtracting fractions with the same denominator.
If the fractions are unlike fractions, follow the procedure for subtracting fractions with unlike denominators.
Example 3:
Subtract 8 ⅚ from 15 ¾.
Solution:
Given: (15 ¾) – (8 ⅚ )
Now convert mixed fractions to improper fractions.
(15 ¾) – (8 ⅚ ) = (63/4) – (53/6)
Now find the LCM of 4 and 6 and make the denominators the same.
So LCM of 4 and 6 is 12
(63/4)-(53/6) = (189/12)-(106/12)
(63/4) – (53/6) = 83/12
Therefore (15 ¾) – (8 ⅚ ) = 83/12
Note:
If necessary, we convert improper fractions to mixed fractions.
Subtract fractions with whole numbers
Follow the steps below while subtracting the fractions with whole numbers:
Step 1: Convert the integer to fractional form. For example, if 4 is an integer, convert it to a fraction as 4/1
Step 2: Now follow the procedure for subtracting fractions with different denominators.
Step 3: Simplify the fraction if necessary.
Example 4:
Subtract: 2 – (½)
Solution:
Given: 2-(½)
Convert the integer “2” to the fractional form as “2/1”.
So 2 – (½) = (2/1) – (½)
Now take the LCM from 1 and 2.
The LCM of 1 and 2 is 2.
(2/1) – (1/2) = (4/2) – (1/2)
(2/1) – (1/2) = (4-1)/2
(2/1) – (1/2) = 3/2
So 2 – (1/2) = 3/2.
Video lesson on fractions
See also: Fraction Subtraction Calculator.
Practice problems on subtracting fractions
Solve the following fraction subtraction problems:
Subtract ⅘ from 10/5.
Subtract 9/2 from 11/3.
Subtract: 5 – (4/3).
Subtract: (6 ½) – (2 ⅘)
Subtract: (2/7) – 4.
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