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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.

'Multiplying Mixed Numbers by Whole Numbers' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Multiply 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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