1. Fractions Year 4

3. 1 4 2 4
one quarter
two quarters 1 2
one half

4. 1 2 2 4 =

5. 2 6 3 6 1 6
three sixths
two sixths
one sixth 1 2
one half

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

7. 4 8 1 8 3 8 2 8 1 2 four eighths two eighths one eighth three eighths
one half

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

9. 2 3 1 5 4 10 1 2 one tenth five tenths four tenths two tenths
three tenths 10 1 2
one half

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

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

12. ÷2 ÷3 ÷4 ÷5 1 2 2 4 3 6 4 8 5 = = = = 10 ÷2 ÷3 ÷4 ÷5

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

15. 1 8 1 5 1 4

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

17. 3 8 3 6 3 4

19. 1 2 3

20. 1 2 1 2 1 2 1 1 2 2 3

21. 1 3 2 3 1 3 2 3 1 3 2 3 1 1 1 2 2 2 3

22. 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

23. 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

24. 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

26. 4 1 + = 1 5 5
When the numbers in the numerator add to make the number in the denominator, you have a whole.

27. 5 3 + = 1 8 8

28. 7 5 + = 1 12 12

29. 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).

30. 1 5 - 1 = 6 6

31. 7 5 - 1 = 12 12

33. 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.

34. 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.

36. 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.

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

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

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