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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:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Multiply Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Look at this diagram, which shows two-fifths of a rectangle shaded.

 

Fraction rectangle 2/5

 

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.

 

Fraction rectangle 4/5

 

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.

 

Fraction rectangle   Fraction rectangle

 

So

3 × 2 = 6 = 1 1
5 5 5

Fraction rectangle 1/4

 

Use the diagram to work out:

 

2 × 1 = ?
4 4

 

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

Fraction rectangle 2/6

 

Use the diagram to work out:

 

2 × 2 = ?
6 6

 

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

Fraction rectangle 2/8

 

Use the diagram to work out:

 

2 × 2 = ?
8 8

 

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

Fraction rectangle 2/8

 

Use the diagram to work out:

 

3 × 2 = ?
8 8

 

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

Fraction rectangle 3/12

 

Use the diagram to work out:

 

3 × 3 = ?
12 12

 

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

Fraction rectangle 1/4

 

Use the diagram to work out:

 

5 × 1 = 5 = 1 ?
4 4 4

 

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

Fraction rectangle 2/6

 

Use the diagram to work out:

 

4 × 2 = 8 = 1 ?
6 6 6

 

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

Fraction rectangle 2/6

 

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.)

Fraction rectangle 2/8

 

Use the diagram to work out:

 

5 × 2 =   = 1 ?
8 8 8

 

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

Fraction rectangle 2/8

 

Use the diagram to work out:

 

7 × 2 =   = 1 ?
8 8 8

 

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

  • Question 1

Fraction rectangle 1/4

 

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

Fraction rectangle 2/6

 

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

Fraction rectangle 2/8

 

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

Fraction rectangle 2/8

 

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

Fraction rectangle 3/12

 

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

Fraction rectangle 1/4

 

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

Fraction rectangle 2/6

 

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

Fraction rectangle 2/6

 

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

Fraction rectangle 2/8

 

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

Fraction rectangle 2/8

 

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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