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Adding Fractions and Decimals

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Adding Fractions and Decimals

Show working where space is provided. Simplify fraction answers where possible.

Adding Fractions

1.Calculate 3/7 + 2/7. Give your answer in simplest form.

2.Calculate 5/9 + 1/9. Give your answer in simplest form.

3.Calculate 1/3 + 1/6. Give your answer in simplest form.

4.At a music festival, Ngaio spends 2/5 of a voucher on a band T-shirt and 1/5 on a badge. What fraction of the voucher does she spend altogether?

5.Choose the correct value of 2/3 + 1/6.

Adding Decimals

6.Calculate 4.7 + 3.8.

7.Calculate 6.35 + 2.79.

8.Calculate 14.6 + 5.85.

9.Harrison buys a festival meal for $8.75 and a drink for $3.60. How much does he pay altogether?

10.Select every addition that has a total of 9.2.

4.8 + 4.4
6.7 + 2.5
3.9 + 5.2
7.15 + 2.05

Mixed Practice

11.At an outdoor festival, the afternoon temperature is 17.8°C. It increases by 4.65°C. What is the new temperature?

12.Write 1/4 as a decimal, then calculate 0.65 + 1/4. Give the total as a decimal.

13.A festival stall uses 3/4 of a litre of fruit juice in one jug and 1/8 of a litre in another. How many litres of juice are there altogether?

14.In one or two sentences, explain why fractions with different denominators usually need to be rewritten before they are added. How does this compare with adding decimals?