# Write percentages as fractions and decimals

## Home learning focus

Learn how to write a percentage as a decimal and a fraction with a denominator of 100.

This includes:

- one video
- learning summary
- two worksheets

# Learn

### Converting between fractions, percentages and decimals

Watch this video from BBC Teach which explains how to convert from a fraction to a percentage, and from a decimal to a percentage.

### Converting percentages into fractions

Percentages, fractions and decimals all have equivalents of each other.

**Per cent** means out of a hundred. When we talk about percentages, we are referring to a fraction that is out of one hundred. Instead of writing it as a fraction, we use the per cent symbol (%).

For example:

59% is the same as ⁵⁹⁄₁₀₀

That’s how easy it is to convert a percentage into a fraction. The percentage becomes the numerator and the denominator is always 100.

### Converting percentages into decimals

What about turning a percentage into a decimal? This has an easy method too - you just divide the percentage by 100.

Why divide? This actually links back to the fact that per cent means out of 100 - did you know that the fraction line also means divide?

Since you know that all percentages relate to a fraction that has a denominator of 100, to turn it into a decimal, you simply divide the numerator by the denominator which is always 100.

So since 59% is the same as ⁵⁹⁄₁₀₀, to turn it into a decimal you have to work out 59 ÷ 100.

So:

59 ÷ 100 = 0.59

Therefore:

59% = ⁵⁹⁄₁₀₀ = 0.59

### Example 1:

**What would 15% be as a fraction and a decimal?**

**Fraction** - The percentage becomes the numerator and denominator becomes 100.

¹⁵/₁₀₀

**Decimal **- Divide 15 by 100

15 ÷ 100 = 0.15

Therefore:

15% = ¹⁵/₁₀₀ = 0.15

### Example 2:

**What would 33% be as a fraction and a decimal?**

**Fraction** - The percentage becomes the numerator and denominator becomes 100.

³³⁄₁₀₀

**Decimal** - Divide 33 by 100.

33 ÷ 100 = 0.33

Therefore:

33% = ³³⁄₁₀₀ = 0.33

# Practise

## Activity 1

**Converting percentages, fractions and decimals worksheet 1**

Have a go at converting between percentages, decimals and fractions in this worksheet from HeadStart Primary.

Click here for the answer sheet

## Activity 2

**Converting percentages, fractions and decimals worksheet 2**

Now try converting between percentages, fractions and decimals with this tricky worksheet from Maths-Whizz.

Click here for the answer sheet

# There's more to learn

Have a look at these other resources around the BBC and the web.