##### Related Pages

# Converting Fractions to Percentages

(KS3, Year 7)

## The Lesson

A fraction can be converted to a percentage.## How to Convert a Fraction to a Percentage

Converting a fraction to a percentage is easy. Divide the top number of the fraction by the bottom number of the fraction and then multiply by 100%.## Question

What is^{1}⁄

_{5}as a percentage?

## Step-by-Step:

# 1

Divide the top number (called the numerator) of the fraction (1) by the bottom number (called the denominator) of the fraction (5).

1 ÷ 5 = 0.2

# 2

Multiply the answer (0.2) by 100%.

0.2 × 100% = 20%

**Don't forget:**a percentage has a**%**("percent") sign after it.## Answer:

^{1}⁄

_{5}converted to a percentage is 20%.

## How to Convert a Fraction to a Percentage Using a Formula

To convert a fraction to a percentage you have to multiply the fraction by 100%.The method for calculating this formula is exactly the same as in the example above.

## Interactive Widget

Here is an interactive widget to help you learn about converting fractions to percentages.## 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.

## 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**%**.

## Why Does the Formula Work?

To convert a fraction to a percentage, the formula tells us to multiply the fraction with 100%.
Percentage = Fraction × 100%

It is a special case of finding the fraction of a number, where the number is 100%.
Read more about finding the fraction of a number
**Help Us To Improve Mathematics Monster**

- Do you disagree with something on this page?
- Did you spot a typo?