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Convert Improper Fractions to Mixed Numbers

In this worksheet, students will practise converting improper fractions to mixed numbers.

'Convert Improper Fractions to Mixed Numbers' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:  

Worksheet Overview

An improper fraction is one that is top-heavy.

This means that the top number is bigger than the bottom number.

Let's look at this improper fraction:

 

17
5

 

17 ÷ 5 = 3 remainder 2

The remainder will be fifths because we are dividing by 5.

5 goes into 17, 3 times and 2 fifths are leftover.

 

5 + 5 + 5 + 2 = 17
5 5 5 5 5

 

This is 3 wholes and 2 fifths.

 

17  = 3 2
5 5

 

Have a look at this diagram to help you visualise it:

Diagram showing 4 rectangles split into 5 parts. 3 of the rectangles are shaded in completely. The last rectangle has only 2 parts shaded.

 

 

Change the following improper fraction to a mixed number:

 

39
7

 

Answer:

39 ÷ 7 = 5 remainder 4

This is 5 wholes and 4 sevenths.

 

39  = 5 4
7 7

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