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

## The Lesson

A percentage can be converted to a 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.

## Question

What is 20% as a fraction?

# 1

Write the percentage (20) as the top number of a fraction (called the numerator). # 2

Write 100 as the bottom number of the fraction (called the denominator). # 2

Simplify the fraction if possible. The fraction in our example can be simplified by dividing both top and bottom by 20. 20% converted to a fraction is 15.

## Lesson Slides

The slider below gives another example of converting a percentage to a fraction. Open the slider in a new tab

## 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. 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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