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Dividing a Whole Number by a Fraction

In this worksheet, students practise dividing whole numbers by fractions.

'Dividing a Whole Number by a Fraction' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Use Four Operations for All Numbers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, we will practise dividing a whole number by a fraction.

 

Method (TURN then TIMES)

First invert (turn upside down) the fraction, then multiply.


Examples

Divide 15 by 
5
6
 
This is the same as 15 × 
6
5
 = (15 ÷ 5) × 6 = 18  

Remember that when you are multiplying an integer by a fraction, you need to divide by the denominator and then multiply by the numerator.

Divide 32 by
8
11
 = 32 ×
11
8
 = 4 × 11 = 44  

Divide the following number by the fraction.

12 ÷ 
2
9
 = ________    

 

Divide the following number by the fraction.

40 ÷ 
4
11
 = ________    

 

Divide the following number by the fraction.

60 ÷ 
5
11
 = ________    

 

Divide the following number by the fraction.

40 ÷ 
4
12
 = ________    

 

Divide the following number by the fraction.

48 ÷ 
6
7
 = ________    

 

Divide the following number by the fraction.

44 ÷ 
4
7
 = ________    

 

Divide the following number by the fraction.

11 ÷ 
1
7
 = ________    

 

Divide the following number by the fraction.

40 ÷ 
4
9
 = ________    

 

Divide the following number by the fraction.

12 ÷ 
2
8
 = ________    

 

Divide the following number by the fraction.

66 ÷ 
6
10
 = ________    

 

  • Question 1

Divide the following number by the fraction.

12 ÷ 
2
9
 = ________    

 

CORRECT ANSWER
54
EDDIE SAYS

12   x

9
2
 =   (12 ÷ 2) x 9 = 54     
  • Question 2

Divide the following number by the fraction.

40 ÷ 
4
11
 = ________    

 

CORRECT ANSWER
110
EDDIE SAYS

40   x

11
4
 =   (40 ÷ 4) x 11 = 110    
  • Question 3

Divide the following number by the fraction.

60 ÷ 
5
11
 = ________    

 

CORRECT ANSWER
132
EDDIE SAYS

60   x

11
5
 =   (60 ÷ 5) x 11 = 132    
  • Question 4

Divide the following number by the fraction.

40 ÷ 
4
12
 = ________    

 

CORRECT ANSWER
120
EDDIE SAYS

40   x

12
4
 =   (40 ÷ 4) x 12 = 120    
  • Question 5

Divide the following number by the fraction.

48 ÷ 
6
7
 = ________    

 

CORRECT ANSWER
56
EDDIE SAYS

48   x

7
6
 =   (48 ÷ 6) x 7 = 56    
  • Question 6

Divide the following number by the fraction.

44 ÷ 
4
7
 = ________    

 

CORRECT ANSWER
77
EDDIE SAYS

44   x

7
4
 =   (44 ÷ 4) x 7 =77    
  • Question 7

Divide the following number by the fraction.

11 ÷ 
1
7
 = ________    

 

CORRECT ANSWER
77
EDDIE SAYS

11   x

7
1
 =   (11 ÷ 1) x 7 = 77    
  • Question 8

Divide the following number by the fraction.

40 ÷ 
4
9
 = ________    

 

CORRECT ANSWER
90
EDDIE SAYS

40   x

9
4
 =   (40 ÷ 4) x 9 = 90    
  • Question 9

Divide the following number by the fraction.

12 ÷ 
2
8
 = ________    

 

CORRECT ANSWER
48
EDDIE SAYS

12   x

8
2
 =   (12 ÷ 2) x 8 = 48    
  • Question 10

Divide the following number by the fraction.

66 ÷ 
6
10
 = ________    

 

CORRECT ANSWER
110
EDDIE SAYS

66   x

10
6
 =   (66 ÷ 6) x 10 = 110    
---- OR ----

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