Percent to fraction

Simply convert a percentage to a fraction with this percent to fraction calculator. Enter a percentage and click the "calculate fraction" button.

Percent to fraction calculator

%

Work and steps percent to fraction

The percent to fraction calculator has not performed a calculation yet. Please submit the percentage you want to convert to as fraction. We will show you a step-by-step explanation here.

General explanation percent to fraction

To convert a percent to a fraction, rewrite te percentage as a fraction with denominator 100 and simplify this fraction if necessary.

Example:
72%
1
Write the percentage as a fraction
First you have to rewrite the percentage as a fraction. The denominator of your fraction is the number 100. The numerator (72) is the percentage.
72%
=
72
100
2
Reduce fraction if possible
Now we have a fraction, we reduce the fraction to its simplest form. In this case we can divide both numerator and denominator by 4 (which is the greatest common factor).
72 / 4
100 / 4
=
18
25

Percentages vs fractions

A percentage is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred," so when you see a percentage, it represents a portion of a whole divided into 100 equal parts. In other words, you can write a percentage as a fraction where the denominator is 100. The numerator is the percentage.

Example:

43%
is the same as
43
100

Convert percent to fraction

To convert a percentage to a fraction, you write the percentage as the numerator of the fraction. The denominator of the fraction is 100 because a percentage represents a part out of 100. Here's the general formula:

Fraction
=
Percentage
100

When the numerator and denominator have a common factor, you can reduce the fraction to its simplest form.