Fractions Year 4 www.KeyStage2Maths.com

1 4 2 4 one quarter two quarters 1 2 one half

1 2 2 4 =

2 6 3 6 1 6 three sixths two sixths one sixth 1 2 one half

1 2 3 6 = 1 2 2 4 3 6 = =

4 8 1 8 3 8 2 8 1 2 four eighths two eighths one eighth three eighths one half

1 2 4 8 = 1 2 2 4 3 6 4 8 = = =

2 3 1 5 4 10 1 2 one tenth five tenths four tenths two tenths three tenths 10 1 2 one half

1 2 5 = 10 1 2 2 4 3 6 4 8 5 = = = = 10

x2 x3 x4 x5 1 2 2 4 3 6 4 8 5 = = = = 10 x2 x3 x4 x5

÷2 ÷3 ÷4 ÷5 1 2 2 4 3 6 4 8 5 = = = = 10 ÷2 ÷3 ÷4 ÷5

Write these fractions in order, smallest first. 1 5 1 4 1 8 1 8 1 5 1 4

1 8 1 5 1 4

Write these fractions in order, smallest first. 3 4 3 6 3 8 3 8 3 6 3 4

3 8 3 6 3 4

1 2 3

1 2 1 2 1 2 1 1 2 2 3

1 3 2 3 1 3 2 3 1 3 2 3 1 1 1 2 2 2 3

1 4 2 4 3 4 1 4 2 4 3 4 1 4 2 4 3 4 1 1 1 1 2 2 2 2 3 1 2 1 2 1 2 1 1 2 2 3

1 4 1 2 3 4 1 4 1 2 3 4 1 4 1 2 3 4 1 1 1 1 2 2 2 2 3

1 4 1 2 3 4 1 4 1 2 3 4 1 4 1 2 3 4 1 1 1 1 2 2 2 2 3

4 1 + = 1 5 5 When the numbers in the numerator add to make the number in the denominator, you have a whole.

5 3 + = 1 8 8

7 5 + = 1 12 12

2 3 - 1 = 5 5 When subtracting from a whole, the denominator is the same as for the fraction you subtract (e.g. 5), and the numerator is the denominator of that fraction minus the numerator (e.g. 5-2=3).

1 5 - 1 = 6 6

7 5 - 1 = 12 12

Half of 48 = 24 Half of 24 = A quarter is half of a half. 12 So a quarter of 48 is 12. You can find an eighth by halving once more. Half of 12 = 6 So an eighth of 48 is 6.

Half of 32 = 16 Half of 16 = A quarter is half of a half. 8 So a quarter of 32 is 8. You can find an eighth by halving once more. Half of 8 = 4 So an eighth of 32 is 4.

To find we divide by 5, then multiply by 2. 1 5 To find we divide by 5. 2 5 To find we divide by 5, then multiply by 2. 1 6 To find we divide by 6. 5 6 To find we divide by 6, then multiply by 5. 1 8 To find we divide by 8. 3 8 To find we divide by 8, then multiply by 3.

What is 2/5 of 30? 30 ÷ 5 = 6 6 x 2 = 12

What is 5/6 of 24? 24 ÷ 6 = 4 4 x 5 = 20

What is 3/8 of 24? 24 ÷ 8 = 3 3 x 3 = 9