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
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