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Multiply Mixed Numbers by Whole Numbers

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

'Multiply 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

In this activity, we will be learning how to multiply fractions including mixed numbers. 

 

We can use diagrams to help us understand multiplying fractions. 

 

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 try an example question together using this model. 

 

Example

Multiply two and one fifth by 3.

 

Answer

This will give 3 lots of two and one fifth.

 

fraction statement

 

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

fraction statement

 

Now it's your turn to try some questions like this. 

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