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Year 7

Securing understanding of multiplication with fractions

I can multiply unit, non-unit and improper fractions.

icon-background-square
New
New
Year 7

Securing understanding of multiplication with fractions

I can multiply unit, non-unit and improper fractions.

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Lesson details

Key learning points

  1. When multiplying you multiply the numerators together and the denominators together.
  2. Any value can be written as a fraction with one as the denominator.
  3. You can use equivalent fractions to be more efficient.

Keywords

  • Product - A product is the result of two or more numbers multiplied together.

  • Commutative - An operation is commutative if the values it is operating on can be written in either order without changing the calculation.

  • Prime factors - Prime factors are the factors of a number that are, themselves, prime.

Common misconception

When multiplying a fraction by an integer multiplying the numerator and denominator by the integer.

If they do this they will have effectively multiplied by 1. Use an example to show you end up with the same fraction that you started with.


To help you plan your year 7 maths lesson on: Securing understanding of multiplication with fractions, download all teaching resources for free and adapt to suit your pupils' needs...

In the first learning cycle when looking at products that are greater and less than 10, use mini whiteboards and ask the class to write down their own examples for each group.
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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

6 Questions

Q1.
What is the product of 12 and 3?
4
9
15
Correct answer: 36
Q2.
What fraction of the rectangle is shaded?
An image in a quiz
87
78
812
Correct answer: 815
Q3.
What calculation is represented by the area of the rectangle shaded?
An image in a quiz
2 × 4
13 × 45
23 × 35
Correct answer: 23 × 45
Q4.
Calculate 23 × 45.
615
85
88
Correct answer: 815
Q5.
Calculate 23 × 35 × 14.
Correct answer: 660
1860
2460
3260
Q6.
Calculate 35 × 59 × 34, give your answer in its simplest form. Try to simplify before calculating.
45180
312
13
Correct answer: 14

6 Questions

Q1.
A prime number has exactly factors.
Correct Answer: 2, two
Q2.
Which of the following will be less than 8?
75 ×8
8×118
Correct answer: 89 ×8
Correct answer: 8×3638
Q3.
17 × 18is than 16 × 18.
Correct Answer: less, smaller
Q4.
Using this fact, 876 × 36150 = 1445700, which of the following are true?
Correct answer: 476 × 36150 = 725700
Correct answer: 876 × 18150 = 725700
Correct answer: 1676 × 36150 = 2885700
2076 × 36150 = 3505700
Q5.
Calculate 25 × 35 × 56. Give you answer as a mixed number.
252
37530
Correct answer: 1212
1312
Q6.
Calculate 2863 × 1051155 by writing each numerator and denominator as a product of its prime factors.
233
433
299
Correct answer: 499
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