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Multiplying Fractions and Decimals
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Multiplying Fractions and Decimals
Show your working where helpful. For estimation questions, round the decimal to the nearest whole number before multiplying.
Multiplying Fractions
1.Work out 3 × 2/5. Give your answer in simplest form.
2.Calculate 5 × 3/8. Write the result as a mixed number.
3.A timber length is 3/4 m long. Ruben cuts 6 pieces of that length. How many metres of timber does he use altogether?
4.The bar shows 3/8 of a whole. If there are 4 groups of this amount, how many wholes is that altogether? Give your answer as a mixed number.
5.Which calculation is another way to find 4 × 2/7?
- 2/7 + 2/7 + 2/7 + 2/7
- 4/2 × 7
- 4 + 2/7
6.Convert 17/5 to a mixed number.
Multiplying Decimals
7.Round 3.7 to the nearest whole number to estimate 5 × 3.7, then calculate the exact answer.
8.Round 1.42 to the nearest whole number to estimate 6 × 1.42, then calculate the exact answer.
9.Calculate 8 × 0.65.
10.Rawiri buys 5 tins of wood stain. Each tin contains 2.4 litres. How many litres does he buy in total?
11.True or false: multiplying 9 by 0.4 gives an answer smaller than 9. Explain your choice.
Put Your Skills to Work
12.A hardware store sells cable for $4.25 per metre. Finn buys 3 metres. What is the total cost?
13.A workshop has 7 equal floor sections, each with an area of 2 2/3 m². Find the combined area of all 7 sections.
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