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Adding and Subtracting Fractions
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Adding and Subtracting Fractions
Show your working where needed. Give each final answer in simplest form.
Same Denominator
1.Work out 5/12 + 4/12. Simplify your answer.
2.Calculate 11/15 − 4/15. Write the result in simplest form.
3.A jug contains 3/10 L of apple juice and 4/10 L of orange juice. How much juice is in the jug altogether?
4.Which expression gives the correct answer to 7/9 − 2/9?
- 5/18
- 5/9
- 9/9
- 5/0
Different Denominators
5.Calculate 2/3 + 1/8. Show how you find an equivalent pair of fractions before adding.
6.Work out 5/6 − 3/10. Give your answer in simplest form.
7.Choose the correct calculation for 3/5 + 1/4.
- 3/20 + 1/20 = 4/20
- 12/20 + 5/20 = 17/20
- 3/9 + 1/9 = 4/9
- 15/20 + 4/20 = 19/20
8.A walking track is 5/6 km long. Maia has walked 3/8 km. What fraction of a kilometre does she still have to walk?
9.Match each fraction calculation to its answer.
- 1/2 + 1/3
- 3/4 − 1/6
- 2/5 + 1/10
- 5/8 − 1/4
- 7/12
- 5/6
- 1/2
- 3/8
Multi-step Problems
10.Evaluate 3/4 − 2/9 + 1/6. Simplify your final answer.
11.A water tank is 7/8 full. During the day, 2/5 of the tank’s total capacity is used. What fraction of the tank’s capacity remains filled?
12.A smoothie recipe uses 2/3 cup of yoghurt and 3/10 cup of berries. How many cups of these two ingredients are used altogether?
13.Explain why the denominators must be made the same before adding or subtracting fractions. Include an example in your explanation.
14.A container holds 5/6 L of paint. A project needs 7/12 L. How much paint will be left after the project?
3 printable pages
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