SMILE
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Unit 7: Numeracy skills

Fractionsquestion mark

Addition of mixed numbers

2½ + 3 1 / 5 = 2 + 3 + ½ + 1 / 5
= 5 + 5 / 10 + 2 / 10
= 5 + 7 / 10
= 5 7 / 10

1 7 / 8 + 5 2 / 3 = 1 + 5 + 7 / 8 + 2 / 3
= 6 + 21 / 24 + 16 / 24
= 6 + 37 / 24
= 6 + 1 13 / 24
= 7 13 / 24

Multiplication and Division of mixed numbers

Here, it is usually easiest to convert to improper fractions and multiply or divide as normal:

2 5 / 6 x 3 1 / 8 = 17 / 6 x 25 / 8 = 425 / 48 = 8 41 / 48

1 2 / 3 ÷ 2 ¾ = 5 / 3 ÷ 11 / 4 = 5 / 3 x 4 / 11 = 20 / 33
2½ x 4 1 / 3 ÷ 1¼ = 5 / 2 x 13 / 3 ÷ 5 / 4 = 5 / 2 x 13 / 3 x 4 / 5 = 260 / 30 = 26 / 3 = 8 2 / 3

Now try these examples: In the examples 1/4 is the same as ¼
1. 2 / 5 + 1 / 3 2. 7 / 81 / 5 3. 5 / 8 + 2 / 3 4. 2 / 9 + 4 / 11
5. 6 / 74 / 9 6. 7 / 81 / 3 7. 2 ½ - 1 5 / 8 8. 7 ¼ - 5 2 / 3
9. 2 4 / 5 + 6 7 / 8 10. 2 / 3 x 4 / 5 11. 8 / 9 x 1 / 3 12. 7 / 12 x 4 / 5
13. 8 / 9 ÷ 2 / 3 14. 2 / 11 ÷ 4 / 5 15. 6 / 7 ÷ 9 / 8 16. 2 ¼ x 3 ½
17. 5 1 / 7 x 2 1 / 5 18. 3 2 / 3 x 4 4 / 9 19. 7 2 / 3 ÷ 3 4 / 5 20. 2 ½ ÷ 6 1 / 5
21. 3 1 / 3 ÷ 4 1 / 3 22. 2 ¼ ÷ 1 / 3 23. 5 2 / 7 x 11 / 3 24. 6 x 2 1 / 3
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SMILE - Numeracy skills by Tom Frank, Eric Williams and Clare Wright, University of Birmingham Careers Centre adapted by Marion Kelt Glasgow Caledonian University is licensed under a Creative Commons Attribution 3.0 Unported License.