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Multiplying Different Fraction Denominators

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Multiplying Different Fraction Denominators

Multiply the numerators together and the denominators together. Simplify your answer when you can. Show your working for written questions.

Understand the method

1.To work out 2/5 × 1/3, which calculation multiplies the fractions correctly?
  • (2 × 1)/(5 × 3)
  • (2 + 1)/(5 + 3)
  • (2 × 3)/(5 × 1)
  • 2/5 + 1/3
2.Calculate 1/2 × 1/4. Choose the product in simplest form.
  • 1/8
  • 2/6
  • 1/6
  • 2/8
3.Work out 2/3 × 1/5. Write the multiplication of the numerators and denominators, then give the answer.

Practise and picture it

4.Calculate 1/3 × 1/6. Show the numerator and denominator products.
5.Calculate 3/4 × 2/5. Simplify your answer if possible.
6.Draw a rectangle model to show 1/2 × 1/3. Divide it into equal parts to show both fractions, then shade the overlap. How much of the whole rectangle is in the overlap?

Use what you know

7.A tray has 3/4 of its biscuits left. Maia eats 1/3 of the biscuits left. What fraction of a full tray does Maia eat?
8.Calculate 2/7 × 3/8. Give your answer in simplest form.
9.Calculate 1/9 × 3/5. Explain briefly why your answer is smaller than both starting fractions.

3 printable pages

  • Multiplying Different Fraction Denominators, page 1 of 3: Understand the method

    Page 1

  • Multiplying Different Fraction Denominators, page 2 of 3: Practise and picture it, Use what you know

    Page 2

  • Multiplying Different Fraction Denominators, page 3 of 3: 8. Calculate 2/7 × 3/8. Give your answer in simplest form.

    Page 3

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