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Fraction Operations Practice
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Fraction Operations Practice
Choose one answer for each multiple-choice question. Show your working for the problems, and simplify fractions where possible.
Part A: Multiple Choice
1.Calculate 5/6 ÷ 2.
- 5/12
- 5/3
- 3/10
- 1/6
2.Dividing a fraction by 5 is equivalent to multiplying it by which number?
- 5
- 1/5
- 1/2
- −5
3.Find 3/8 + 1/4.
- 4/12
- 5/8
- 1/2
- 7/8
4.Work out 4/7 × 7/10.
- 2/5
- 28/17
- 11/17
- 3/10
Part B: Solve and Show Your Working
5.A soup recipe uses 2/3 of a litre of stock. Maia is making one quarter of the recipe. How many litres of stock does she need?
6.A jug is 7/8 full. Ari pours out 1/3 of the jug's total capacity. What fraction of the jug's capacity remains filled?
7.A ribbon 7/9 of a metre long is cut into 4 equal pieces. What is the length of each piece?
Part C: Explain and Extend
8.Explain why dividing a fraction by a whole number gives the same result as multiplying by the reciprocal of that number. Use 3/5 ÷ 4 as an example.
9.A group shares 5/6 kg of kūmara equally among 4 people. How much does each person receive? If 2 more people join and the same amount is shared equally among all 6 people, how much does each person receive then?
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