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Simplifying Fractions Worksheet

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Simplifying Fractions Worksheet

Find the highest common factor (HCF) where needed. Show your working and give each fraction in its simplest form.

Find the Highest Common Factor

List the factors of each number, then identify the greatest factor they share.

1.Find the HCF of 20 and 30. Write the factors of both numbers and show how you chose the HCF.
2.Find the HCF of 28 and 42. Write the factors of both numbers and show how you chose the HCF.
3.Find the HCF of 54 and 72. Write the factors of both numbers and show how you chose the HCF.

Simplify the Fractions

Divide the numerator and denominator by their HCF. Include your working and the simplified fraction.

4.Simplify 14/21. Show the HCF and the division you used.
5.Simplify 18/30. Show the HCF and the division you used.
6.Simplify 21/35. Show the HCF and the division you used.
7.Simplify 42/56. Show the HCF and the division you used.
8.Simplify 48/64. Show the HCF and the division you used.
9.Simplify 63/84. Show the HCF and the division you used.
10.Which fraction is already in its simplest form? Choose one and explain how you know.
  • 6/15
  • 5/8
  • 9/12
  • 10/25

Fractions in Everyday Situations

Work out the fraction described in each situation, then simplify it.

11.Luca made 28 mini muffins and shared 21 of them with neighbours. What fraction of the muffins did he share? Give your answer in simplest form.
12.At a community picnic, 36 of the 48 people chose fruit for dessert. What fraction of the people chose fruit? Simplify your answer.
13.Tane walked 70 metres along an 80-metre track. What fraction of the track had she walked? Write it in simplest form and state the HCF you used.

3 printable pages

  • Simplifying Fractions Worksheet, page 1 of 3: Find the Highest Common Factor

    Page 1

  • Simplifying Fractions Worksheet, page 2 of 3: Simplify the Fractions

    Page 2

  • Simplifying Fractions Worksheet, page 3 of 3: Fractions in Everyday Situations

    Page 3

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