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Fraction Addition and Subtraction

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Fraction Addition and Subtraction

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Fraction Strategies

Year 5 | Mathematics and Statistics | Te Mātaiaho Phase 2: Number – Rational numbers

Use equivalent fractions and common denominators. Show your working clearly.

Worked example: To add 1/2 + 1/4, rename 1/2 as 2/4. Then 2/4 + 1/4 = 3/4.

Section A: Same Denominators

Add or subtract. Simplify your answer where possible.

1. 3/8 + 2/8 =
2. 5/9 − 2/9 =
3. 4/7 + 1/7 =
4. 11/12 − 5/12 =
5. 2/6 + 3/6 =
6. 9/10 − 4/10 =

Section B: Denominators That Are Multiples

Rename one fraction so the denominators are the same.

7. 1/2 + 1/4 =
8. 3/5 + 1/10 =
9. 2/3 − 1/6 =
10. 3/8 + 1/4 =
11. 5/6 − 1/3 =
12. 1/4 + 3/8 =

Subtraction and Problem Solving

Section C: Subtracting Mixed Numbers

Some questions require regrouping one whole. Show each step.

13. 3 1/4 − 1 3/4 =
14. 5 2/5 − 2 4/5 =
15. 4 1/3 − 1 5/6 =
16. 6 1/8 − 2 3/4 =

Section D: Fractions in Everyday Life

17. Maia walked 2/5 km in the morning and 3/10 km in the afternoon. How far did she walk altogether?
18. A jug held 3/4 litre of juice. The class drank 1/2 litre. How much juice was left?
19. A recipe needs 1 1/2 cups of flour. Hana has already added 3/4 cup. How much more flour is needed?

Challenge

20. A ribbon is 3 1/2 metres long. Arlo uses 1 3/4 metres and then uses another 2/5 metre. How much ribbon remains?

Answer Key

Section A: 1. 5/8   2. 1/3   3. 5/7   4. 1/2   5. 5/6   6. 1/2

Section B: 7. 3/4   8. 7/10   9. 1/2   10. 5/8   11. 1/2   12. 5/8

Section C: 13. 1 1/2   14. 2 3/5   15. 2 1/2   16. 3 3/8

Section D: 17. 7/10 km   18. 1/4 litre   19. 3/4 cup

Challenge: 1 7/20 metres

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