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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:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Multiply 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.

 

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

Fraction rectangle 4/4 = 1  Fraction rectangle 1/4

 

Use the diagram to work out and complete:

 

3 × 1 1 = 3 ?
4 4

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

Fraction rectangle 6/6 = 1  Fraction rectangle 2/6

 

Use the diagram to work out and complete:

 

2 × 1 2 = 2 ?
6 6

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

Fraction rectangle 8/8 = 1  Fraction rectangle 2/8

 

Use the diagram to work out and complete:

 

3 × 1 2 = 3 ?
8 8

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

Fraction rectangle 8/8 = 1  Fraction rectangle 8/8 = 1  Fraction rectangle 8/8 = 1  Fraction rectangle 2/8

 

Use the diagram to work out and complete:

 

3 × 3 2 = ? 6
8 8

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

Fraction rectangle 12/12 = 1  Fraction rectangle 3/12

 

Use the diagram to work out and complete:

 

3 × 1 3 = 3 9
12 ?

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

Fraction rectangle 4/4 = 1  Fraction rectangle 4/4 = 1  Fraction rectangle 1/4

 

Use the diagram to work out and complete:

 

3 × 2 1 = 6 ?
4 4

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

Fraction rectangle 6/6 = 1  Fraction rectangle 6/6 = 1  Fraction rectangle 6/6 = 1  Fraction rectangle 2/6

 

Use the diagram to work out and complete:

 

2 × 3 2 = 6 ?
6 6

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

Fraction rectangle 6/6 = 1  Fraction rectangle 6/6 = 1  Fraction rectangle 1/6

 

Use the diagram to work out and complete:

 

5 × 2 1 = 10 ?
6 6

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

Fraction rectangle 12/12 = 1  Fraction rectangle 12/12 = 1  Fraction rectangle 3/12

 

Use the diagram to work out and complete:

 

3 × 2 3 = 6 ?
12 12

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

Fraction rectangle 8/8 = 1  Fraction rectangle 8/8 = 1  Fraction rectangle 3/8

 

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

Fraction rectangle 4/4 = 1  Fraction rectangle 1/4

 

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

Fraction rectangle 6/6 = 1  Fraction rectangle 2/6

 

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

Fraction rectangle 8/8 = 1  Fraction rectangle 2/8

 

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

Fraction rectangle 8/8 = 1  Fraction rectangle 8/8 = 1  Fraction rectangle 8/8 = 1  Fraction rectangle 2/8

 

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

Fraction rectangle 12/12 = 1  Fraction rectangle 3/12

 

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

Fraction rectangle 4/4 = 1  Fraction rectangle 4/4 = 1  Fraction rectangle 1/4

 

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

Fraction rectangle 6/6 = 1  Fraction rectangle 6/6 = 1  Fraction rectangle 6/6 = 1  Fraction rectangle 2/6

 

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

Fraction rectangle 6/6 = 1  Fraction rectangle 6/6 = 1  Fraction rectangle 1/6

 

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

Fraction rectangle 12/12 = 1  Fraction rectangle 12/12 = 1  Fraction rectangle 3/12

 

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

Fraction rectangle 8/8 = 1  Fraction rectangle 8/8 = 1  Fraction rectangle 3/8

 

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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