# Finding a fraction of an amount

## Introduction

When finding a fraction of an amount, the key rule to remember is to divide the amount by the **denominator** and multiply your answer by the **numerator**.

If asked to **increase** or **decrease** an amount by a fraction make sure you add or subtract from the original amount at the end of the question!

## Example questions involving fractions of amounts

### Example 1 - Finding a fraction of an amount

Find \(\frac{2}{5}\) of £35.

First find \(\frac{1}{5}\) by dividing £35 by 5 to get £7.

Now to find \(\frac{2}{5}\), multiply by 2 to get £7 × 2 = £14.

### Example 2 - Increasing or decreasing an amount by a fraction

Increase £240 by \(\frac{1}{6}\).

£240 ÷ 6 = £40. So \(\frac{1}{6}\) of £240 is £40.

Since we want to increase the amount by \(\frac{1}{6}\) we add this on to the original amount of £240. So £240 + £40 = £280.

### Example 3 - Multiplying a whole number by a fraction

Calculate \(\frac{3}{7}\) × 140.

Multiplying a fraction by a whole number is exactly the same as finding a fraction of an amount. In fact, when dealing with fractions the '×' symbol and the word 'of' usually mean the same thing.

So, 140 ÷ 7 = 20 and then 20 × 3 = 60.

## Test yourself!

Now try these worksheets to practise your skills.