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Multiplying Mixed Numbers by Whole Numbers

In this worksheet, students use diagrams to multiply mixed numbers by whole numbers. Answers may involve mixed numbers.

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'Multiplying Mixed Numbers by Whole Numbers' worksheet

Key stage:  KS 2

Year:  Year 3 11+ worksheets

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Fractions

Difficulty level:  

Worksheet Overview

Look at this diagram which shows two and one fifth of a rectangle shaded.

That's 2 whole rectangles and one fifth of a rectangle.

 

Fraction rectangle 5/5 = 1  Fraction rectangle 5/5 = 1  Fraction rectangle 1/5

 

Let's multiply two and one fifth by 3.

This will give 3 lots of two and one fifth.

 

2 1 + 2 1 + 2 1 = 6 3
5 5 5 5

 

This gives 6 wholes and three-fifths shaded as shown.

 

Fraction rectangle 5/5 = 1  Fraction rectangle 5/5 = 1  Fraction rectangle 5/5 = 1

Fraction rectangle 5/5 = 1  Fraction rectangle 5/5 = 1  Fraction rectangle 5/5 = 1

Fraction rectangle 3/5

 

So

3 × 2 1 = 6 3
5 5

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