# Convert Percentages to Fractions and Decimals

In this worksheet, students will convert percentages to fractions and decimals

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Define, Interpret and Compare Percentages

Difficulty level:

#### Worksheet Overview

This activity is about converting percentages to fractions and decimals.

Meaning that each percentage is out of 100.

This makes it easy when converting to fractions!

For example, 2% = 2 out of 100 or 55% = 55 out of 100

Let's look at a typical question.

Example

Convert 30% to a fraction in its simplest form.

As 30% means 30 out of 100 we can write it as:

To finish it, we have to simplify by dividing the numerator and denominator by their highest common factor.

In this case, it is 10

So, we divide by 10 (30 ÷ 10 = 3 and 100 ÷ 10 = 10)

Giving us:

We can also convert percentages to decimals, knowing that it is out of 100.

Let's look at a typical question and it will become clear!

Example 2

Convert 63% to a decimal.

We know that:

We know that means 63 ÷ 100 = 0.63

In short - we divide the % by 100.

A top tip when dealing with percentages is to remember the magic number of 100!

If we need to convert a fraction or a decimal to a percentage, we multiply by 100.

If we need to convert from a percentage to a fraction or a decimal, we divide by 100.

Easy, isn't it?

Let's try some questions now.

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