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Change a Mixed Number into an Improper Fraction

In this worksheet, students will change a mixed number into an improper fraction.

'Change a Mixed Number into an Improper Fraction' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:  

Worksheet Overview

In this activity, we will learn how to change a mixed number into an improper fraction.



To find the numerator of a mixed number, multiply the denominator by the whole number and then add on the numerator.

The denominator of a mixed number is the same as in the original fraction.





In the example above, we need to multiply the whole number 7 by the denominator of 12. This is to find out how many twelfths there are in 7 wholes.


7 x 12 = 84  So, 7 wholes contain 84 twelfths.


Then, we need to add on the 11 twelfths that is the numerator: 84 + 11 = 95

The denominator remains unchanged as 12.


So, our improper fraction is:





Did you follow that ok?


girl wondering


Here's another one for you to check out.


What is 3 4/9 as an improper fraction?


First of all, we want to find out how many ninths there are in 3 whole numbers, so we multiply 3 by 9

3 x 9 = 27 so we know that there are 27 ninths in 3 whole numbers. 


But we have 4 more ninths to include (the numerator) so we do 27 + 4 = 31

So we have 31 ninths in total which we write as 31/9


Let's have a go at some questions now.


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