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Year 5 Fractions and Decimals
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Year 5 Fractions and Decimals
Compare, order and calculate with fractions and decimals. Show your working where asked.
Comparing and Ordering Fractions
1.Arrange these fractions from smallest to largest: 2/5, 3/4, 5/8, 7/10.
2.Which fraction is nearest to 1 whole?
- 11/12
- 4/5
- 7/9
- 5/6
3.Write 9/4 as a mixed number.
4.Which is greater, 7/4 or 5/3? Show how you know.
5.Place 1/2, 4/3, 5/6 and 7/3 in the correct positions on the number line. Label each point.
6.Challenge: Order these fractions from largest to smallest: 16/5, 23/7, 10/3, 19/6.
Adding and Subtracting Fractions
7.Calculate 4/9 + 3/9. Give your answer in simplest form.
8.Amira ate 3/10 of a cake and Chloe ate 4/10 of the same cake. What fraction of the cake did they eat altogether?
9.Work out 7/8 − 3/8. Write your answer in simplest form.
10.A recipe needs 9/12 of a cup of oats. You have already added 5/12 of a cup. How much more is needed?
11.Aria cycled 2/5 of a kilometre before school and 4/5 of a kilometre after school. Did she cycle at least 1 kilometre altogether? Show your calculation.
12.Challenge: A container was 10/12 full. After 4/12 was poured out, 3/12 was poured back in. What fraction full is it now? Simplify if possible.
Comparing and Ordering Decimals
13.Order these decimals from smallest to largest: 0.382, 0.328, 0.823, 0.832.
14.Which decimal is closest to 0.6?
- 0.593
- 0.620
- 0.575
- 0.638
15.Write one decimal with two decimal places that lies between 0.42 and 0.44.
16.Round 0.936 to the nearest hundredth.
17.Insert <, > or = to make this statement true: 0.680 ___ 0.68
18.Challenge: Arrange these decimals from largest to smallest: 2.018, 2.081, 2.108, 2.18, 2.1.
Patterns with Fractions and Decimals
19.Continue the decimal pattern with the next three terms: 0.15, 0.30, 0.45, ___, ___, ___.
20.Describe the rule for this fraction pattern: 2/9, 4/9, 6/9, 8/9.
21.Fill both gaps in the pattern: 0.12, 0.22, ___, 0.42, ___, 0.62.
22.Write five terms in a pattern that starts at 1.8 and decreases by 0.4 each time.
23.Complete the pattern: 1/5, 2/5, 3/5, ___, ___, 6/5.
24.Challenge: Continue this pattern for two more terms. Each term has the same value, written in a different way: 1/2, 0.5, 2/4, 0.50, ____, ____.
4 printable pages
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