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Multiplying Proper Fractions by Whole Numbers

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

'Multiplying Proper Fractions 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-fifths of a rectangle shaded.

 

 

Let's multiply two-fifths by 2.

This will give 2 lots of two-fifths.

 

2 + 2 = 4
5 5 5

 

This gives four-fifths shaded as shown.

 

 

So

2 × 2 = 4
5 5

 

 

Now let's multiply two-fifths by 3.

This will be 3 lots of two-fifths.

 

2 + 2 + 2 = 6
5 5 5 5

 

This gives six-fifths shaded as shown.

 

   

 

So

3 × 2 = 6 = 1 1
5 5 5

 

Use the diagram to work out:

 

2 × 1 = ?
4 4

 

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

 

Use the diagram to work out:

 

2 × 2 = ?
6 6

 

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

 

Use the diagram to work out:

 

2 × 2 = ?
8 8

 

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

 

Use the diagram to work out:

 

3 × 2 = ?
8 8

 

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

 

Use the diagram to work out:

 

3 × 3 = ?
12 12

 

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

 

Use the diagram to work out:

 

5 × 1 = 5 = 1 ?
4 4 4

 

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

 

Use the diagram to work out:

 

4 × 2 = 8 = 1 ?
6 6 6

 

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

 

Watch out, more numbers are missing. Use the diagram to work out:

 

5 × 2 =   = 1 ?
6 6 6

 

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

 

Use the diagram to work out:

 

5 × 2 =   = 1 ?
8 8 8

 

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

 

Use the diagram to work out:

 

7 × 2 =   = 1 ?
8 8 8

 

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

  • Question 1

 

Use the diagram to work out:

 

2 × 1 = ?
4 4

 

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

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

 

Use the diagram to work out:

 

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:

 

2 × 2 = ?
8 8

 

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

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

 

Use the diagram to work out:

 

3 × 2 = ?
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 5

 

Use the diagram to work out:

 

3 × 3 = ?
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 6

 

Use the diagram to work out:

 

5 × 1 = 5 = 1 ?
4 4 4

 

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

CORRECT ANSWER
1
EDDIE SAYS
5/4 = 1 and a quarter
  • Question 7

 

Use the diagram to work out:

 

4 × 2 = 8 = 1 ?
6 6 6

 

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

CORRECT ANSWER
2
EDDIE SAYS
8/6 = 1 and two sixths
  • Question 8

 

Watch out, more numbers are missing. Use the diagram to work out:

 

5 × 2 =   = 1 ?
6 6 6

 

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

CORRECT ANSWER
4
EDDIE SAYS
10/6 = 1 and four sixths
  • Question 9

 

Use the diagram to work out:

 

5 × 2 =   = 1 ?
8 8 8

 

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

CORRECT ANSWER
2
EDDIE SAYS
10/8 = 1 and two eighths
  • Question 10

 

Use the diagram to work out:

 

7 × 2 =   = 1 ?
8 8 8

 

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

CORRECT ANSWER
6
EDDIE SAYS
14/8 = 1 and six eighths
---- OR ----

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