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Fractions of an Amount

Fractions of an Amount


Example 1: Find 1⁄4 of 12.

12

To find one quarter we need to split our amount into 4 equal parts.

12 ÷ 4 = 3

3

3

3

3

Each part is worth 3, so 1⁄4 of 12 = 3


Example 2: Find 1⁄5 of 30.

30

To find one fifth we need to split our amount into 5 equal parts.

30 ÷ 5 = 6

6

6

6

6

6

Each part is worth 6, so 1⁄5 of 30 = 6


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Example 3: Find 3⁄4 of 28.

28

We start by splitting 28 into 4 equal parts.

28 ÷ 4 = 7

7

7

7

7

Each quarter is worth 7. We want 3⁄4

7

7

7

7

We need to calculate 3 × 7.
3 × 7 = 21
3⁄4 of 28 = 21


Example 4: Find 2⁄5 of 40.

40

We start by splitting 40 into 5 equal parts.

40 ÷ 5 = 8

8

8

8

8

8

Each fifth is worth 8. We want 2⁄5

8

8

8

8

8

We need to calculate 2 × 8.
2 × 8 = 16
2⁄5 of 40 = 16


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Practice questions

Question 1

1 mark

Find 16\displaystyle \frac{1}{6}61​ of 420

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In 35\frac{3}{5}53​ of 100, what is the amount?

Fractions of an Amount Revision Guide

  1. GCSE
  2. /Maths
  3. /Fractions of an Amount

Revision notes for AQA GCSE Maths Fractions of an Amount. Open the guide for explanations and worked examples. Written against the AQA GCSE Maths (8300) specification, so the content matches what's examinable rather than general Maths background.

Practise questions

1 of 2

Find 17\frac{1}{7}71​ of 63.

Practise questions

1 of 3

Find 13\frac{1}{3}31​ of 72.

Practise questions

1 of 3

Work out 35\frac{3}{5}53​ of 45.

Practise questions

1 of 3

Calculate 14\frac{1}{4}41​ of 84.