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Table of Contents
What is to the simplest form?
1. The simplest form is the smallest possible equivalent fraction of the number.
How do you know if an expression is in simplest form?
A rational expression is considered simplified if the numerator and denominator have no factors in common.
915/100 Simplified in Lowest Terms
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What is the simplified form of I 13?
Algebra Examples
Rewrite i13 as (i4)3i ( i 4 ) 3 i . Factor out i12 i 12 . Rewrite i12 i 12 as (i4)3 ( i 4 ) 3 .
915/100 Simplified in Lowest Terms
Raise the power of .
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What is simplify in math?
maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.
915/100 Simplified in Lowest Terms
QUIZ YOURSELF ON “IS” VS. “ARE”
“Is” it time for a new quiz? “Are you ready? Then prove your excellent skills with “is” vs. “are”.
Question 1 of 7
IS and ARE are both forms of which verb?
What is simplified?
verb (used with object), sim·pli·fied, sim·pli·fy·ing. to make less complex or complicated; make plainer or easier: to simplify a problem.
915/100 Simplified in Lowest Terms
QUIZ YOURSELF ON “IS” VS. “ARE”
“Is” it time for a new quiz? “Are you ready? Then prove your excellent skills with “is” vs. “are”.
Question 1 of 7
IS and ARE are both forms of which verb?
What is 5 in its simplest form?
Hence 5% can be written as 120 in simplest form.
915/100 Simplified in Lowest Terms
# 5% = 5/100 #
# => 1/20 #
Therefore #5% # can be written as #1/20 # in its simplest form.
Which fraction is in simplest form?
A fraction is said to be in its simplest form if 1 is the only common factor of its numerator and denominator. For example,89,because 1 is the only common factor of 8 and 9 in this fraction.
915/100 Simplified in Lowest Terms
A fraction is a part of a whole. It has a numerator and a denominator.
For example: 12 here 1 is the numerator and 2 is the denominator. It is represented by the following figure:
Here the shape is divided into 2 equal parts, hence the denominator is 2 and 1 of 2 parts is shaded, hence the numerator is 1.
Simplest form of a fraction
A fraction is called in its simplest form if 1 is the only common divisor of the numerator and denominator. For example, 89 because 1 is the only common divisor of 8 and 9 in that fraction.
We simplify fractions because there is always work to do or math when the fractions are in their simplest form.
Simplifying proper and improper fractions
Steps:
Find the highest common factor (HCF) of the numerator and denominator.
Divide both the numerator and denominator by HCF.
Example 1: Check if the fraction 715 is in its simplest form?
Solution: Factors of numerator 7 = 1, 7
Factors of denominator 15 = 1, 3, 5, 15
We can see that 1 is the only common divisor of 7 and 15
Hence 715 in its simplest form.
Example 2: Reduce 1218 in its simplest form.
Solution: Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 18 = 1, 2, 3, 6, 9, 18
Highest common factor (HCF) of 12 and 18 = 6
If we divide the numerator and denominator by 6 (HCF), we get
12÷6 18÷6 = 2 3
Therefore 23 is the simplest form of the fraction 1218.
Simplify a mixed fraction
Steps:
Find the highest common factor (HCF) of the numerator and denominator of the fraction.
Divide both the numerator and denominator by HCF to get the simplified fraction.
Write the whole and the simplified fraction together.
Example 4: Matthew has 31216 ice cream. How much ice does he have in his simplest form?
Solution: Factors of 3 12 16 = 1 4 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
Highest common factor (HCF) of 12 and 16 = 4
If we divide the numerator and denominator by 4 (HCF), we get
12÷4 16÷4 = 3 4
So Matthew 31216 is carrying ice cream in its simplest form.
How do you simplify 240?
Algebra Examples. Rewrite 240 as 42⋅15 4 2 ⋅ 15 .
915/100 Simplified in Lowest Terms
Pull out terms under the radical.
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How do you simplify 2 4?
2 and 4 share a common factor: 2. We can reduce this fraction by dividing both the numerator and denominator by their common factor, 2. 1 and 2 have no common factor other than 1, so the fraction is in lowest terms.
915/100 Simplified in Lowest Terms
1/2 and 2/4
These fractions are equivalent fractions. Both represent the same amount. Half of an orange equals two quarters of an orange. However, only one of these fractions is written in the lowest terms.
A fraction is the smallest term when the numerator and denominator have no common divisor other than 1.
The factors of 2 are 1 and 2.
The factors of 4 are 1, 2, and 4.
2 and 4 have a common factor: 2.
We can simplify this fraction by dividing the numerator and denominator by their common factor, 2.
2 ÷ 2/4 ÷ 2 = 1/2
1 and 2 have no common factor other than 1, so the fraction is the lowest term.
Method #1: Common Factors
(a slow and steady method)
Let’s try another example:
30/36
Do 30 and 36 have factors other than 1 in common?
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
30 and 36 have three divisors in common: 2, 3, and 6.
Let’s see what happens when we divide the numerator and denominator by their lowest common divisor, 2. (In fact, we would know that they have 2 as their common divisor without having to calculate all of their divisors, since both 30 and 36 are even numbers.)
30 ÷ 2/36 ÷ 2 = 15/18
are we done Do 15 and 18 have factors other than 1 in common?
The factors of 15 are 1, 3, 5, 15.
The factors of 18 are 1, 2, 3, 6, 9, 18.
15 and 18 have one factor in common: 3.
Again we divide the numerator and denominator by their common factor of 3.
15 ÷ 3/18 ÷ 3 = 5/6
are we done Do 5 and 6 have factors other than 1 in common?
The factors of 5 are 1 and 5.
The factors of 6 are 1, 2, 3, and 6.
5 and 6 have no common factors except 1.
This method reduces a fraction to its lowest terms, but it can take several steps to get to this point. What would have happened if, instead of dividing the numerator and denominator by their lowest common divisor, we started with their greatest common divisor?
Method #2: Greatest Common Factor
(a more efficient method)
Let’s try it again:
30/36
Do 30 and 36 have factors other than 1 in common?
The factors of 30 are 1, 2, 3, 5, 6, 10, 15.
The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18.
30 and 36 have three divisors in common: 2, 3, and 6.
The greatest common divisor is 6.
Divide the numerator and denominator by the greatest common factor:
30 ÷ 6/36 ÷ 6 = 5/6
This time it’s just one step to get the same result. To reduce a fraction to its smallest terms, divide the numerator and denominator by the greatest common divisor.
Method #3: Prime Factors
(an even more efficient method)
Another way to reduce fractions is to decompose the numerator and denominator into their prime factors and remove any common prime factor. Let’s run this example again using this method.
30/36
The prime factors of 30 are 2 x 3 x 5.
The prime factors of 36 are 2 x 2 x 3 x 3.
2x3x5/2x2x3x3
We remove the 2 x 3 that the numerator and denominator have in common:
5/2 x 3 = 5/6
(If you think about it, this works the same as the last method. The greatest common divisor of two numbers is the same as the product of the prime factors they have in common.)
.com/ipa/0/9/3/3/4/6/A0933466.html
What is the simplified form of 2 4?
2 and 4 share a common factor: 2. We can reduce this fraction by dividing both the numerator and denominator by their common factor, 2. 1 and 2 have no common factor other than 1, so the fraction is in lowest terms.
915/100 Simplified in Lowest Terms
1/2 and 2/4
These fractions are equivalent fractions. Both represent the same amount. Half of an orange equals two quarters of an orange. However, only one of these fractions is written in the lowest terms.
A fraction is the smallest term when the numerator and denominator have no common divisor other than 1.
The factors of 2 are 1 and 2.
The factors of 4 are 1, 2, and 4.
2 and 4 have a common factor: 2.
We can simplify this fraction by dividing the numerator and denominator by their common factor, 2.
2 ÷ 2/4 ÷ 2 = 1/2
1 and 2 have no common factor other than 1, so the fraction is the lowest term.
Method #1: Common Factors
(a slow and steady method)
Let’s try another example:
30/36
Do 30 and 36 have factors other than 1 in common?
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
30 and 36 have three divisors in common: 2, 3, and 6.
Let’s see what happens when we divide the numerator and denominator by their lowest common divisor, 2. (In fact, we would know that they have 2 as their common divisor without having to calculate all of their divisors, since both 30 and 36 are even numbers.)
30 ÷ 2/36 ÷ 2 = 15/18
are we done Do 15 and 18 have factors other than 1 in common?
The factors of 15 are 1, 3, 5, 15.
The factors of 18 are 1, 2, 3, 6, 9, 18.
15 and 18 have one factor in common: 3.
Again we divide the numerator and denominator by their common factor of 3.
15 ÷ 3/18 ÷ 3 = 5/6
are we done Do 5 and 6 have factors other than 1 in common?
The factors of 5 are 1 and 5.
The factors of 6 are 1, 2, 3, and 6.
5 and 6 have no common factors except 1.
This method reduces a fraction to its lowest terms, but it can take several steps to get to this point. What would have happened if, instead of dividing the numerator and denominator by their lowest common divisor, we started with their greatest common divisor?
Method #2: Greatest Common Factor
(a more efficient method)
Let’s try it again:
30/36
Do 30 and 36 have factors other than 1 in common?
The factors of 30 are 1, 2, 3, 5, 6, 10, 15.
The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18.
30 and 36 have three divisors in common: 2, 3, and 6.
The greatest common divisor is 6.
Divide the numerator and denominator by the greatest common factor:
30 ÷ 6/36 ÷ 6 = 5/6
This time it’s just one step to get the same result. To reduce a fraction to its smallest terms, divide the numerator and denominator by the greatest common divisor.
Method #3: Prime Factors
(an even more efficient method)
Another way to reduce fractions is to decompose the numerator and denominator into their prime factors and remove any common prime factor. Let’s run this example again using this method.
30/36
The prime factors of 30 are 2 x 3 x 5.
The prime factors of 36 are 2 x 2 x 3 x 3.
2x3x5/2x2x3x3
We remove the 2 x 3 that the numerator and denominator have in common:
5/2 x 3 = 5/6
(If you think about it, this works the same as the last method. The greatest common divisor of two numbers is the same as the product of the prime factors they have in common.)
.com/ipa/0/9/3/3/4/6/A0933466.html
What is 9 24 in its simplest form?
The fraction 924 simplifies to 38 .
915/100 Simplified in Lowest Terms
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915/100 Simplified in Lowest Terms
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Identify if a fraction can be simplified
See some more details on the topic can 915 be simplified here:
How to reduce (simplify) fraction: 915 / 1000 – numere-prime.ro
A fraction fully simplified, a fraction reduced to its lowest terms is a fraction that can no longer be simplified, it has been reduced to its simplest …
Source: www.numere-prime.ro
Date Published: 9/21/2022
View: 2803
915/100 Simplified in Lowest Terms – getcalc.com
The fraction 915/100 simplified can be found by using anyone of the below two methods: 1. Prime factorization method, 2. GCF method.
Source: getcalc.com
Date Published: 5/10/2021
View: 9190
488/915 Simplified | Simplify 488/915 to Simplest Form
Here’s how to simplify 488/915 to its simplest form using the formula, … then press calculate button, the system will automatically calculate the simplest …
Source: calculationcalculator.com
Date Published: 9/4/2021
View: 1579
How to reduce (simplify) the common fraction 4/915 to its simplest …
Irreducible fraction. Fraction 3/4 is also called an irreducible fraction, in another words it could no longer be reduced or simplified, it is in its simplest …
Source: www.fractii.ro
Date Published: 4/17/2022
View: 8896
What is 549/915 Simplified? – Visual Fractions
So what we want to do here is to simplify the numerator and denominator in 549/915 to their lowest possible values, while keeping the actual fraction the …
Source: visualfractions.com
Date Published: 7/13/2022
View: 5472
Square Root of 915
Here we will define, analyze, simplify, and calculate the square root of 915. We start off with the definition and then answer some common questions about …
Source: squareroot.info
Date Published: 9/16/2021
View: 9124
1,000 to the lowest terms, its simplest equivalent form, irreducible, with the smallest possible numerator and denominator, that are prime to each other? The fraction can be reduced (simplified) to th
Reduce (simplify) the fraction: 915/ 1,000
Detailed calculations below:
Fractions, brief introduction
A fraction consists of two numbers and the fraction bar: 915/ 1000 The number above the fraction bar is the numerator: 915 The number below the fraction bar is the denominator: 1000 The fraction bar means that the two numbers divide:
915/ 1,000 = 915 ÷ 1,000 Divide the numerator by the denominator to get the value of the fraction:
The value = 915 ÷ 1,000
Percentages, brief introduction
‘Percent (%)’ means ‘out of hundred’: p% = p ‘out of hundred’, p% = p/ 100 = p ÷ 100
Note:
Definition Facts & Example
What is the simplest form?
A fraction is not a whole number, but a number between whole numbers. It’s part of a whole. Also, a fraction has two parts – a numerator and a denominator.
When the numerator and denominator can no longer be separately reduced to a smaller number, we get the fraction in its simplest form.
For example,
3⁄ 6 can be simplified as:
In the example given, we get the simplified form by dividing the numerator and denominator by 3, the largest number that exactly divides both numbers (reduces to another integer).
So finding the simplest form of a fraction means reducing the top and bottom of the fraction to the smallest whole number possible.
Fun Facts
1. The simplest form is the smallest possible equivalent fraction of the number.
Steps to find the simplest shape:
Look for common factors in the numerator and denominator.
Check if any of the numbers in the fraction are prime.
(Revise your knowledge: A prime number is a number that consists only of two divisors 1 and itself. )
Divide by a fraction equal to 1. (Multiplying would increase the original fraction, which is not what we want when simplifying.) For example, 2⁄2, 3⁄3, 10⁄10, or 5⁄5 are all equivalent to 1.
For example,
Jenny has a chocolate cake that she cut into 6 pieces. She shares this equally with 7 other friends, so a total of 8 people.
That leaves Jenny with a fraction of 6⁄ 8 . Can this be any easier?
Neither number (above or below in this fraction) is prime.
Let’s look at the common factors:
6 → 2,3,6
8 → 2,4,8
So 2 is a common divisor of the numerator and denominator.
So the simplest form is 3⁄ 4 .
Thus, each group of 4 people shares 3 pieces of cake.
915/100 Simplified in Lowest Terms
The following solution with step-by-step work shows how to find the lowest term of 915/100. The simplified fraction 915/100 can be found using either of the following two methods:
1. prime factorization method,
2. GCF method.
Prime factorization method: Step 1 Observe the input parameters and what to find:
Input values:
Fraction = 915/100
what to find:
915/100 = ?
Find out what the lowest expression of 915/100 is.
Step 2 Find the prime factors of the numerator of the given fraction 915/100.
Prime factors of 915 = 3 x 5 x 61
Step 3 Find the prime factors of the denominator of the given fraction 915/100.
Prime factors of 100 = 2 x 2 x 5 x 5
Step 4 Rewrite the fraction 915/100 in terms of prime factors as follows:
915/100= (3x5x61) / (2x2x5x5)
Step 5 Check and truncate factors 915 and 100 if any factors in the numerator and denominator can be canceled in the prime factor fraction above:
= (3x5x61) / (2x2x5x5)
= (3×61)/(2x2x5)
Step 6 Simplify and rewrite the fraction as follows:
= 183/20
915/100 = 183/20
Consequently,
The simplest form of 915/100 is 183/20.
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