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Multiplying and dividing fractions
AQA GCSE Mathematics practice questions with step-by-step solutions
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EasyQuestion 1
[2 marks]Work out:
(a) 2/3 × 4/5
(b) 3/4 ÷ 2
Solution for Question 1
MediumQuestion 2
[3 marks]Work out:
3/5 ÷ 9/10
Give your answer in its simplest form.
Solution for Question 2
HardQuestion 3
[4 marks]Work out:
2 1/4 × 1 2/3
Give your answer as a mixed number in its simplest form.
Solution for Question 3
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Multiplying fractions is straightforward: multiply the numerators together and multiply the denominators together. You don't need common denominators. For example, 2/3 × 4/5 = 8/15.
Dividing by a fraction means multiplying by its reciprocal (flip it upside down). So 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Remember: Keep, Change, Flip - keep the first fraction, change ÷ to ×, flip the second fraction.
With mixed numbers, always convert to improper fractions first before multiplying or dividing. Simplify your answer and convert back to a mixed number if the question asks for it.
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