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Year 10 Fractions Workshop

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Year 10 Fractions Workshop

Show your working for calculations. Give fractions in simplest form unless the question asks for a decimal or percentage.

Fractions, Decimals and Percentages

1.Write 7/20 as a decimal and as a percentage.

2.Which fraction is equal to 0.45?

4/9
9/20
5/11
11/20

3.Arrange 5/8, 3/4, 7/12 and 2/3 from smallest to largest.

4.Reduce 28/42 to its simplest form.

5.Reduce 45/60 to its simplest form.

6.A fraction bar is split into 10 equal parts, with 6 parts shaded. Write the shaded amount as a fraction in simplest form, a decimal and a percentage.

Fraction Operations

7.Calculate 5/6 + 3/8. Give your answer in simplest form.

8.Calculate 11/12 − 2/9. Give your answer in simplest form.

9.Calculate 7/10 × 5/14. Give your answer in simplest form.

10.Calculate 3/5 ÷ 9/10. Give your answer in simplest form.

11.Change the improper fraction 29/7 into a mixed number.

12.Change the improper fraction 41/9 into a mixed number.

13.A jug contains 5/6 of a litre of juice. Nathan pours out 1/3 of a litre. How much juice remains?

Fractions in Everyday Situations

14.A pair of trainers costs $120. The shop takes 15% off the price. Find the discount amount and the price after the discount.

15.A smoothie recipe uses 3/4 cup of yoghurt for one batch. How much yoghurt is needed for 2 1/2 batches?

16.Which chocolate purchase gives more chocolate for each dollar: 3/5 of a 250 g bar for $3.00, or 2/3 of a 180 g bar for $2.00? Show how you compared them.