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Solve Fraction Statements involving Mixed Numbers

In this worksheet, students will complete statements involving mixed numbers and improper fractions.

'Solve Fraction Statements involving Mixed Numbers' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:  

Worksheet Overview

Look at the statement below.

 

3  +  4  =  7  =  1 2
5 5 5 5

 

3 fifths + to 4 fifths = 7 fifths.

7 fifths is a top-heavy improper fraction.

7 ÷ 5 = 1 remainder 2.

7 fifths can be changed to the mixed number "one and 2 fifths".

 

 

For example: what are the values of A, B and C in this statement?

 

5  +  6  =  A  =  B 4
7 7 7 C

 

Answer:

5 sevenths added to 6 sevenths = 11 sevenths.

11 sevenths is a top-heavy improper fraction.

11 ÷ 7 = 1 remainder 4.

11 sevenths can be changed to the mixed number "one and 4 sevenths".

 

This gives us:

 

5  +  6  =  11  =  1 4
7 7 7 7

 

Therefore,

A = 11

B = 1

C = 7

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