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Convert Mixed Numbers into Improper Fractions

In this worksheet, students will practise converting mixed numbers into improper (or top-heavy) fractions.

'Convert Mixed Numbers into Improper Fractions' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:  

Worksheet Overview

A mixed number is made up of a whole number and a fraction.

 

Let's look at the mixed number below:

 

3 2
5

 

This is 3 wholes and 2 fifths.

3 wholes are the same as 5 fifths + 5 fifths + 5 fifths = 15 fifths.

15 fifths + 2 fifths = 17 fifths in total.

 

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

 

A quick way is to this work out is: 3 x 5 + 2 =17

 

3 2  = 17
5 5

 

17/5 is an improper fraction because it is top-heavy

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

e.g. convert the following mixed number into an improper fraction.

 

 

5  4
 7

 

Answer:

Work out 5 x 7 + 4 = 39

 

 

5 4  = 39
7 7

 

The answer is 39/7.

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