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Dividing Fractions

In this worksheet, children must divide two simple fractions.

'Dividing Fractions' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Use Four Operations for All Numbers

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

When we divide two fractions, they do not have to have the same denominator like in addition or subtraction.

 

The first stage is to turn the second fraction upside down and change the ÷ sign to x.

The second stage is to multiply the resulting two fractions.

 

We can either multiply the top numbers together and then the bottom numbers together, remembering to reduce the final answer, or we can cancel down within the calculation as shown below.

 

Example

Work out

3 ÷ 9
10 15

 

Answer

 

3 ÷ 9
10 15

 

First we invert the second fraction and change the ÷ sign to x.

 

3 x 15
10 9

 

We look for any top number which has a common factor with any bottom number.

If we find such a reduceable pair of numbers, we divide them by their common factor.

 

3 x 15
10 9

 

= 3 ÷ 3 x 15
10  9 ÷ 3

  

= 1 x 15
10  3

  

= 1 x 15 ÷ 5
10 ÷ 5  3

 

= 1 x 3
2  3

   

= 1 x 3 ÷ 3
2  3 ÷ 3

 

= 1 x 1
2  1

 

= 1
2

 

Work out

 

2 ÷ 1
9 2

 

(Write your answer in its lowest terms in the form a/b)

 

Work out

 

2 ÷ 1
10 4

 

(Write your answer in its lowest terms in the form a/b)

 

Work out

 

2 ÷ 1
15 6

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 ÷ 3
6 4

 

(Write your answer in its lowest terms in the form a/b)

 

Work out

 

3 ÷ 1
10 3

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 ÷ 3
5 7

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 ÷ 4
7 9

 

(Write your answer in its lowest terms in the form a/b)

 

 

Work out

 

2 ÷ 3
9 4

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

2 ÷ 6
9 12

 

(Write your answer in its lowest terms in the form a/b)

Work out

 

6 ÷ 8
15 10

 

(Write your answer in its lowest terms in the form a/b)

  • Question 1

Work out

 

2 ÷ 1
9 2

 

(Write your answer in its lowest terms in the form a/b)

 

CORRECT ANSWER
4/9
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 2
9 1

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

4
9

 

  • Question 2

Work out

 

2 ÷ 1
10 4

 

(Write your answer in its lowest terms in the form a/b)

 

CORRECT ANSWER
4/5
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 4
10 1

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

8 = 4
10 5

 

  • Question 3

Work out

 

2 ÷ 1
15 6

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
4/5
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 6
15 1

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

12 = 4
15 5

 

  • Question 4

Work out

 

2 ÷ 3
6 4

 

(Write your answer in its lowest terms in the form a/b)

 

CORRECT ANSWER
4/9
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 4
6 3

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

8 = 4
18 9

 

  • Question 5

Work out

 

3 ÷ 1
10 3

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
9/10
EDDIE SAYS

(Write your answer in its lowest terms in the form a/b)

Firstly, flip the second fraction and change the operator to a multiply

3 x 3
10 1

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

9
10

 

  • Question 6

Work out

 

2 ÷ 3
5 7

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
14/15
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 7
5 3

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

14
15

 

  • Question 7

Work out

 

2 ÷ 4
7 9

 

(Write your answer in its lowest terms in the form a/b)

 

 

CORRECT ANSWER
9/14
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 9
7 4

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

18 = 9
28 14

 

  • Question 8

Work out

 

2 ÷ 3
9 4

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
8/27
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 4
9 3

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

8
27

 

  • Question 9

Work out

 

2 ÷ 6
9 12

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
4/9
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

2 x 12
9 6

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

24 = 4
54 9

 

  • Question 10

Work out

 

6 ÷ 8
15 10

 

(Write your answer in its lowest terms in the form a/b)

CORRECT ANSWER
1/2
EDDIE SAYS

Firstly, flip the second fraction and change the operator to a multiply

6 x 10
15 8

Secondly, multiply the numerators and the denominators and cancel the fraction if possible

60 = 1
120 2

 

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