Multiply a fraction by an integer

1 Complete the calculations.

a) 5 × 3 = c) 5 × 3xy =

b) 5 × 3a = d) 5 × 37

=

2 Match the calculations to the correct answers.

3 × 25

615

34

× 5 85

115

× 6 154

45

× 2 65

3 This diagram represents 4 × 23

= 83

= 2 23

23

23

23

23

0 1 2 3

Draw diagrams to represent the calculations.

a) 3 × 34

= 94

= 2 14

b) 6 × 23

= 123

= 4

4 Convert the improper fractions to mixed numbers.

a) 52

= c) 185

=

b) 114

= d)306

=

5

Explain why Eva is wrong.

© White Rose Maths 2019

4 × 35 = 12

20 because 4 × 3 = 12 and

4 × 5 = 20

c) Rosie buys 10 bags of dried fruit.

Each bag weighs 25 kg.

What is the total weight of all 10 bags?

8 Find the missing numbers in these calculations.

a) 27 × = 6

7 d) 5 × = = 3 18

b) 38

× = 158

= 1 78 e) 6 × =

4 = 4 1

2

c) 6 × = 1811

=

9

How does Amir know these calculations are equivalent?

Compare answers with a partner.

6 Complete the calculations.

Give your answers as mixed numbers in their simplest form

where appropriate.

a) 7 × 12

= f) 9 × 34

=

b) 8 × 23

= g) 217

× 6 =

c) 58

× 3 = h) 23

× 10 =

d) 58

× 4 = i) 12 × 56

=

e) 58

× 8 = j) 18 × 13

=

7 Give your answers as mixed numbers in their simplest form

where appropriate.

a) A piece of wood is 45 m long.

How long are six of these pieces of wood, placed end-to-end?

b) At a school, lunchtime is 34 hour.

What is the total time taken for lunch over a full school week?

© White Rose Maths 2019

I know these all have the same answer without

having to work them all out.

8 × 45

4 × 85

2 × 0.8× 4 25

×16