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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.
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