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Mixed and Improper Fractions

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Mixed and Improper Fractions

Choose the best answer where options are given. For written questions, show your working and include units when needed.

Recognising and Converting Fractions

1.Which number is a mixed number?

9/4
1 3/5
8/7
6/6

2.Which fraction is improper?

3.Change 3 2/7 into an improper fraction.

4.Write 22/5 as a mixed number.

5.Match each number with its equivalent form.

2 1/3
17/4
3 1/4
7/3
4 1/4

13/4
2 1/3
4 1/4
17/4
7/3

6.Convert each number to the other form. Change mixed numbers to improper fractions, and improper fractions to mixed numbers.

a) 4 1/3 = ______

b) 29/6 = ______

c) 2 3/8 = ______

d) 31/7 = ______

Fractions on Number Lines

7.Point A is marked on the number line. Write its position as a mixed number and as an improper fraction.

8.Put 1 1/4, 7/4, 2 1/2 and 11/4 in order from least to greatest. Use the number line to help.

Apply What You Know

9.Tane swims 1 3/4 lengths on Saturday and 7/4 lengths on Sunday. Did she swim the same distance each day? Show how converting one amount helps you decide.

10.A baking mix uses 2 2/3 cups of oats. Write this amount as an improper fraction, then describe how to measure it using a 1-cup measure and a 1/3-cup measure.

11.Select every fraction equivalent to 3 1/2.