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Ordering Fractions Worksheet

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Ordering Fractions Worksheet

Compare the fractions carefully. Show your thinking where asked, and write fractions in simplest form only when requested.

Compare and order

1.Which unit fraction is greatest?

1/3
1/5
1/8
1/10

2.Choose the correct reason that 1/4 is greater than 1/7.

Four is greater than seven.
A whole split into four equal parts has larger parts than a whole split into seven equal parts.
Both fractions have a numerator of one, so they are equal.
A denominator tells how many parts are shaded.

3.Arrange 1/2, 1/8, 1/4 and 1/6 from least to greatest.

4.Explain why 1/3 is greater than 1/6. Use the phrase “equal parts” in your explanation.

Equivalent fractions

5.Select every fraction equivalent to 2/3.

4/6
6/9
3/5
8/12

6.Order 3/6, 1/4, 2/3 and 2/4 from least to greatest. Write equivalent fractions or other working to support your order.

7.For each pair, write the greater fraction. (a) 3/5 or 5/8 (b) 3/4 or 5/6 (c) 2/7 or 1/3

8.Match each fraction on the left with an equivalent fraction on the right.

10/12
5/10
8/12
6/8

Fractions in context

9.Lachlan and Mei each have the same-sized chocolate bar. Lachlan eats 3/8 of her bar and Mei eats 1/2 of his. Who eats more? Explain by comparing the fractions.

10.Place 1/5, 1/2, 4/5 and 3/10 at their correct positions between 0 and 1. Label each position with its fraction.