Percents

Method

Converting a Percent Into a Fraction

It is possible to convert a percent into a fraction and the other way around. Consider the following percent. 48 % This percent can be written as a fraction by following two steps.

1
Write as a Fraction Whose Denominator Is 100
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Since a percent is the ratio of a number to 100, write it as a fraction whose numerator is the number part of the percent and whose denominator is 100. 48 %=48/100

2
Simplify the Fraction
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Next, check whether the fraction can be simplified. First, split the numerator and denominator into prime factors. This process is shown below for 48100. 48 & = 2* 2* 2* 2* 3 100 & = 2* 2* 5* 5 The numbers share two common factors. Their product is the greatest common factor (GCF) of 48 and 100. GCF(48,100)=2* 2=4 Finally, divide both the numerator and denominator by 4.

48/100
48 ÷ 4/100 ÷ 4
12/25

The fractions 1225 and 48100 are equivalent and they both correspond to 48 %.

Extra

Converting Different Percents Between 1 and 100
Input a percent that is an integer between 1 and 100. The process of converting this percent into a fraction will be demonstrated.

The submitted percent is converted to a fraction

Exercises
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