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Fractions Foundation Operations
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Fractions Foundation Operations
Show your working for calculation and problem-solving questions. Give answers in simplest form where possible.
Fraction foundations
1.The bar shows a fraction. Write the fraction represented by the shaded part and simplify it if possible. Explain how the two fractions are related.
Calculate with fractions
2.In the fraction 7/12, which number is the numerator?
- 7
- 12
- 19
- 5
3.What does the denominator in a fraction describe?
- The number of equal parts in the whole
- The number of parts being counted
- The difference between the two numbers
- The value of the whole number
4.Select every fraction equivalent to 3/5.
- 6/10
- 9/15
- 12/25
- 15/25
5.A tray has 12 equal portions of slice. Maia serves 5 portions. Write the fraction of the tray she served, then simplify it if possible.
6.Calculate 3/11 + 5/11. Give your answer in simplest form.
7.Calculate 9/14 − 2/14. Give your answer in simplest form.
8.Calculate 2/3 + 1/4. Show how you found a common denominator.
9.Calculate 5/6 − 1/4. Show your working and simplify the result.
10.Find 3/7 × 14/15. Simplify your answer.
11.Work out 4/9 ÷ 2/3. Give your answer in simplest form.
12.Match each fraction calculation to its answer.
- 1/3 + 1/6
- 3/4 − 1/2
- 2/5 × 5/8
- 3/8 ÷ 3/4
- 1/4
- 1/2
- 1/2
- 1/4
Fractions in context
13.A jug contains 3/4 litre of juice. Luca pours the juice equally into 3 glasses. What fraction of a litre goes into each glass?
14.A batch of muffins needs 2/3 cup of oats. Hana makes 3/4 of a batch. How many cups of oats does she use?
15.A walking track is 5/6 km long. Theo walks 1/3 km, then another 1/4 km. What fraction of a kilometre does he still have to walk?
16.A class shares 2/3 of a tray of fruit equally among 5 groups. What fraction of the whole tray does each group receive? Include a calculation to support your answer.
4 printable pages
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Page 2
Page 3
Page 4
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