 # Multiplying Fractions

In this worksheet, students multiply two simple fractions. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:   ### QUESTION 1 of 10

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

We simply multiply the top numbers together and then the bottom numbers together, remembering to cancel down at the end.

Example

Work out

 3 x 4 10 15

Multiply the numerators and the denominators together

 = 3 x 4 = 12 10 x 15 150

This new fraction has a common factor of 6, we can now divide both numerators and denominators by 6.

 = 12 = 2 150 25

Work out

 2 x 1 3 5

Work out

 2 x 1 3 4

Work out

 2 x 1 5 6

Work out

 2 x 3 6 4

Work out

 3 x 1 5 6

Work out

 2 x 3 5 10

Work out

 2 x 1 7 14

Work out

 2 x 3 9 4

Work out

 2 x 6 9 12

Work out

 6 x 9 15 10

• Question 1

Work out

 2 x 1 3 5

2/15
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 1 = 2 3 x 5 15

This fraction has no common factors apart from 1 so it cannot be simplified.

• Question 2

Work out

 2 x 1 3 4

1/6
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 1 = 2 3 x 4 12

This new fraction has a common factor of 2, we can now divide both numerators and denominators by 6.

 = 2 = 1 12 6

• Question 3

Work out

 2 x 1 5 6

1/15
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 1 = 2 5 x 6 30

This new fraction has a common factor of 2, we can now divide both numerators and denominators by 6.

 = 2 = 1 30 15

• Question 4

Work out

 2 x 3 6 4

1/4
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 3 = 6 6 x 4 24

This new fraction has a common factor of 6, we can now divide both numerators and denominators by 6.

 = 6 = 1 24 4

• Question 5

Work out

 3 x 1 5 6

1/10
EDDIE SAYS

Multiply the numerators and the denominators together

 = 3 x 1 = 3 5 x 6 30

This new fraction has a common factor of 3, we can now divide both numerators and denominators by 6.

 = 3 = 1 30 10

• Question 6

Work out

 2 x 3 5 10

3/25
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 3 = 6 5 x 10 50

This new fraction has a common factor of 2, we can now divide both numerators and denominators by 6.

 = 6 = 3 50 25

• Question 7

Work out

 2 x 1 7 14

1/49
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 1 = 2 7 x 14 98

This new fraction has a common factor of 2, we can now divide both numerators and denominators by 6.

 = 2 = 1 98 49

• Question 8

Work out

 2 x 3 9 4

1/6
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 3 = 6 9 x 4 36

This new fraction has a common factor of 6, we can now divide both numerators and denominators by 6.

 = 6 = 1 36 6

• Question 9

Work out

 2 x 6 9 12

1/9
EDDIE SAYS

Multiply the numerators and the denominators together

 = 2 x 6 = 12 9 x 12 108

This new fraction has a common factor of 12, we can now divide both numerators and denominators by 6.

 = 12 = 1 108 9

• Question 10

Work out

 6 x 9 15 10

9/25
EDDIE SAYS

Multiply the numerators and the denominators together

 = 6 x 9 = 54 15 x 10 150

This new fraction has a common factor of 6, we can now divide both numerators and denominators by 6.

 = 54 = 9 150 25

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