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Multiplying Fractions

Quiz · Maths · Y7 Fractions & Percentages · Year 7
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.

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Level 1 · Warm-up

1 Work out 1/2 × 1/5 (as a fraction).
Show worked solution
1 × 1 = 1 on top and 2 × 5 = 10 underneath, so 1/10.
2 Work out 2/5 × 3/7.
Show worked solution
2 × 3 = 6 and 5 × 7 = 35, so 6/35.
3 What is 1/4 of 1/3?
Show worked solution
1/4 × 1/3 = 1 over 4 × 3, so 1/12.

Level 2 · Core

4 Work out 2/3 × 9/10, giving your answer in simplest form.
Show worked solution
Cancel to 1/1 × 3/5, so the answer is 3/5. (The long way gives 18/30, which simplifies to the same thing.)
5 What is 3/5 of 20?
Show worked solution
20 ÷ 5 = 4, then 4 × 3 = 12.
6 Work out 4/9 × 3/8, giving your answer in simplest form.
Show worked solution
Cancelling gives 1/3 × 1/2 = 1/6.

Level 3 · Challenge

7 Work out 5/6 × 3/10, giving your answer in simplest form.
Show worked solution
Cancel to 1/2 × 1/2 = 1/4.
8 Work out 1 and 1/3, multiplied by 3/4.
Show worked solution
1 and 1/3 is 4/3, so 4/3 × 3/4. The 3s and 4s all cancel, giving 1.
9 A recipe needs 2 and 1/4 cups of flour. You make a double batch. How many cups do you need?
Show worked solution
2 and 1/4 is 9/4, and 9/4 × 2 = 18/4 = 9/2 = 4 and 1/2 cups.