Converting a Percentage to a Fraction
(KS3, Year 7)

homepercentagesconverting a percentage to a fraction
A percentage can be converted to a fraction.

convert percentage to fraction

How to Convert a Percentage to a Fraction

Converting a percentage to a fraction is easy. Write the percentage as the top number of the fraction, 100 as the bottom number and then simplify the fraction.


What is 20% as a fraction?



Write the percentage (20) as the top number of a fraction (called the numerator).

percentages fraction 20 numerator


Write 100 as the bottom number of the fraction (called the denominator).

percentages fraction 20 numerator 100 denominator


Simplify the fraction if possible. The fraction in our example can be simplified by dividing both top and bottom by 20.

percentages simplifying 20 over 100


20% converted to a fraction is 15.

Lesson Slides

The slider below gives another example of converting a percentage to a fraction.

What Is a Percentage?

A percentage expresses a part of a whole number as parts out of 100. "Per cent" means "per 100" or "out of 100". A percentage is shown by the symbol %.

What Is a Fraction?

Fractions consist of a numerator and a denominator.

fractions explained The denominator tells you how many equal parts the whole is divided into, and the numerator tells you how many of these parts there are.
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This page was written by Stephen Clarke.

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