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Mastering Mixed Improper Fractions

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Mastering Mixed Improper Fractions

Practise naming fraction parts, converting between mixed numbers and improper fractions, and recognising equivalent fractions. Show your working for calculation questions.

Fraction parts and equivalence

Choose or write the answer for each question.

1.In the fraction 5/8, which number is the numerator?

2.Write 3 2/5 as an improper fraction.

15/5
17/5
13/5

3.Convert 22/6 to a mixed number in its simplest form.

4.Select every fraction equivalent to 3/4.

6/8
9/12
6/10
12/16

Convert and calculate

Write each answer clearly. Use improper fractions when asked.

5.At coding club, Mere works on a project for 1 5/6 hours and Nikau works on it for 2 1/4 hours. How long do they work altogether? Give your answer as a mixed number.

6.Convert 5 3/7 to an improper fraction.

7.Convert 2 5/9 to an improper fraction.

8.Convert 4 1/3 to an improper fraction.

9.Convert 26/5 to a mixed number.

10.Convert 31/8 to a mixed number.

11.Convert 27/6 to a mixed number in its simplest form.

12.A coding club project needs 3 1/2 metres of cable. Isla has already used 1 3/4 metres. How much cable remains to be used? Give your answer as an improper fraction and as a mixed number.

Challenge

Use what you know about mixed numbers and improper fractions to solve these problems.

13.A maker needs 5 1/4 metres of ribbon. Ribbon is sold in lengths of 3/2 metres. What is the fewest whole lengths the maker must buy? Explain briefly.

14.Write three different improper fractions equivalent to 2 2/5. Show how you can check that they are equivalent.