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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

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

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.

 

    

 

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.

 

    

    

 

So

3 × 2 1 = 6 3
5 5

  

 

Use the diagram to work out and complete:

 

3 × 1 1 = 3 ?
4 4

(Just write the missing number shown by the ? mark.)

  

 

Use the diagram to work out and complete:

 

2 × 1 2 = 2 ?
6 6

(Just write the missing number shown by the ? mark.)

  

 

Use the diagram to work out and complete:

 

3 × 1 2 = 3 ?
8 8

(Just write the missing number shown by the ? mark.)

      

 

Use the diagram to work out and complete:

 

3 × 3 2 = ? 6
8 8

(Just write the missing number shown by the ? mark.)

  

 

Use the diagram to work out and complete:

 

3 × 1 3 = 3 9
12 ?

(Just write the missing number shown by the ? mark.)

    

 

Use the diagram to work out and complete:

 

3 × 2 1 = 6 ?
4 4

(Just write the missing number shown by the ? mark.)

      

 

Use the diagram to work out and complete:

 

2 × 3 2 = 6 ?
6 6

(Just write the missing number shown by the ? mark.)

    

 

Use the diagram to work out and complete:

 

5 × 2 1 = 10 ?
6 6

(Just write the missing number shown by the ? mark.)

    

 

Use the diagram to work out and complete:

 

3 × 2 3 = 6 ?
12 12

(Just write the missing number shown by the ? mark.)

    

 

Use the diagram to work out and complete:

 

2 × 2 3 = 4 6
8 ?

(Just write the missing number shown by the ? mark.)

  • Question 1

  

 

Use the diagram to work out and complete:

 

3 × 1 1 = 3 ?
4 4

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
3
EDDIE SAYS
1/4 + 1/4 + 1/4 = 3/4
  • Question 2

  

 

Use the diagram to work out and complete:

 

2 × 1 2 = 2 ?
6 6

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
4
EDDIE SAYS
2/6 + 2/6 = 4/6
  • Question 3

  

 

Use the diagram to work out and complete:

 

3 × 1 2 = 3 ?
8 8

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
6
EDDIE SAYS
2/8 + 2/8 + 2/8 = 6/8
  • Question 4

      

 

Use the diagram to work out and complete:

 

3 × 3 2 = ? 6
8 8

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
9
EDDIE SAYS
3 × 3 = 9
  • Question 5

  

 

Use the diagram to work out and complete:

 

3 × 1 3 = 3 9
12 ?

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
12
EDDIE SAYS
The denominator doesn\'t change.
  • Question 6

    

 

Use the diagram to work out and complete:

 

3 × 2 1 = 6 ?
4 4

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
3
EDDIE SAYS
1/4 + 1/4 + 1/4 = 3/4
  • Question 7

      

 

Use the diagram to work out and complete:

 

2 × 3 2 = 6 ?
6 6

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
4
EDDIE SAYS
2/6 + 2/6 = 4/6
  • Question 8

    

 

Use the diagram to work out and complete:

 

5 × 2 1 = 10 ?
6 6

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
5
EDDIE SAYS
1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6
  • Question 9

    

 

Use the diagram to work out and complete:

 

3 × 2 3 = 6 ?
12 12

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
9
EDDIE SAYS
3/12 + 3/12 + 3/12 = 9/12
  • Question 10

    

 

Use the diagram to work out and complete:

 

2 × 2 3 = 4 6
8 ?

(Just write the missing number shown by the ? mark.)

CORRECT ANSWER
8
EDDIE SAYS
The denominator doesn\'t change.
---- OR ----

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