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Fractions and Equivalence Worksheet

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Fractions and Equivalence Worksheet

Show your working for calculations. Give answers in simplest form unless the question asks otherwise.

Equivalent Fractions and Simplifying

1.Which fraction is equivalent to 3/5?
  • 6/15
  • 9/15
  • 12/25
  • 15/20
2.Reduce 18/30 to its simplest form.
3.Write three different fractions equivalent to 4/7.
4.Convert 17/5 to a mixed number.
5.Convert 4 3/8 to an improper fraction.
6.Match each fraction on the left with its simplest equivalent fraction on the right.
  • 21/35
  • 16/24
  • 18/42
  • 28/36
  • 3/5
  • 7/9
  • 2/3
  • 3/7

Adding and Subtracting Fractions

7.Calculate 3/10 + 1/4. Give your answer in simplest form.
8.Calculate 5/6 + 7/12. Give your answer as a mixed number in simplest form.
9.Calculate 7/8 − 2/5. Give your answer in simplest form.
10.Calculate 1 1/3 − 5/9. Give your answer in simplest form.

Fractions in Context

11.A water tank is 5/6 full. After 1/4 of the tank's capacity is used, what fraction of the tank's capacity remains filled?
12.A loaf is cut into 16 equal slices. Riley eats 3/8 of the loaf. How many slices does Riley eat?
13.A walking track is 2 1/2 km long. Hana has walked 7/10 km. How much farther does she need to walk to finish the track?
14.Explain why 6/9 and 2/3 represent the same amount. Include one calculation in your explanation.

3 printable pages

  • Fractions and Equivalence Worksheet, page 1 of 3: Equivalent Fractions and Simplifying

    Page 1

  • Fractions and Equivalence Worksheet, page 2 of 3: Adding and Subtracting Fractions, Fractions in Context

    Page 2

  • Fractions and Equivalence Worksheet, page 3 of 3: 13. A walking track is 2 1/2 km long. Hana has walked 7/10 km. How much farther does she…

    Page 3

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