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Year 5

Explain the relationship between repeated addition of fractions and multiplication of fractions

I can explain the relationship between repeated addition of fractions and multiplication of fractions.

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Share activities with pupils
New
New
Year 5

Explain the relationship between repeated addition of fractions and multiplication of fractions

I can explain the relationship between repeated addition of fractions and multiplication of fractions.

Download all resources
Share activities with pupils

These resources will be removed by end of Summer Term 2025.

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Lesson details

Key learning points

  1. Multiplication can be represented as repeated addition
  2. Use the language of unitising '__ groups of __ is equal to __'

Keywords

  • Unit fraction - A unit fraction is a fraction where the numerator is 1

  • Unitise - Unitising means treating groups that contain or represent the same number of things as units or ones.

  • Non-unit fraction - A non-unit fraction is a fraction where the numerator is greater than 1

  • Represent - To represent something is to show it in a different way.

Common misconception

Pupils struggle to group items to form unitised groups.

Ensure time is spent labelling items in relation to the whole then move to grouping these items. Use the sentence stem: There are ___ lots of ___ _________. This is equal to ___ _________.


To help you plan your year 5 maths lesson on: Explain the relationship between repeated addition of fractions and multiplication of fractions, download all teaching resources for free and adapt to suit your pupils' needs...

It is vital that pupils can make the shift from seeing multiples of a unit fraction to a unit comprised of a non-unit fraction. For example: moving from three, one-ninths to one lot of three-ninths. This will help pupils work more flexibly with calculations and link to their work on multiplication.
Teacher tip

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

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Starter quiz

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6 Questions

Q1.
Tick the unit fraction this image represents.
An image in a quiz
$$ \frac{1}{6} $$
$$ \frac{1}{7} $$
Correct answer: $$ \frac{1}{8} $$
$$ \frac{1}{9} $$
$$ \frac{1}{10} $$
Q2.
The whole has been divided into 5 equal parts. Each part represents one .
Correct Answer: fifth
Q3.
$$ \frac{1}{4} $$ + $$ \frac{1}{4} $$ + $$ \frac{1}{4} $$ is equal to:
$$ \frac{1}{4} $$ + 3
Correct answer: $$ \frac{1}{4} $$ × 3
Correct answer: 3 × $$ \frac{1}{4} $$
$$ \frac{1}{4} $$ × $$ \frac{1}{4} $$
Q4.
2 × $$ \frac{1}{5} $$ is equal to:
Correct answer: $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$
Correct answer: $$ \frac{1}{5} $$ × 2
5 × 2
$$ \frac{1}{5} $$ × $$ \frac{1}{5} $$
Q5.
Which expressions would match this image?
An image in a quiz
Correct answer: $$ \frac{1}{4} $$ + $$ \frac{1}{4} $$
Correct answer: $$ \frac{1}{4} $$ × 2
Correct answer: 2 × $$ \frac{1}{4} $$
$$ \frac{1}{5} $$ + $$ \frac{1}{5} $$
$$ \frac{1}{5} $$ × 2
Q6.
Match the multiplicative expression to the additive expression.
Correct Answer:3 × $$ \frac{1}{7} $$,$$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ + $$ \frac{1}{7} $$

$$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ + $$ \frac{1}{7} $$

Correct Answer:$$ \frac{1}{3} $$ × 2,$$ \frac{1}{3} $$ + $$ \frac{1}{3} $$

$$ \frac{1}{3} $$ + $$ \frac{1}{3} $$

Correct Answer:2 × $$ \frac{1}{8} $$,$$ \frac{1}{8} $$ + $$ \frac{1}{8} $$

$$ \frac{1}{8} $$ + $$ \frac{1}{8} $$

Correct Answer:3 × $$ \frac{1}{8} $$,$$ \frac{1}{8} $$ + $$ \frac{1}{8} $$ + $$ \frac{1}{8} $$

$$ \frac{1}{8} $$ + $$ \frac{1}{8} $$ + $$ \frac{1}{8} $$

Exit quiz

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6 Questions

Q1.
This counter represents one-
An image in a quiz
Correct Answer: seventh
Q2.
$$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ is equal to:
$$ \frac{1}{7} $$ + 4
$$ \frac{1}{4} $$ × 7
Correct answer: 4 × $$ \frac{1}{7} $$
Correct answer: $$ \frac{1}{7} $$ × 4
Q3.
$$ \frac{3}{7} $$ + $$ \frac{3}{7} $$ is equal to:
$$ \frac{3}{7} $$ + 3
Correct answer: $$ \frac{3}{7} $$ × 2
$$ \frac{3}{7} $$ + 7
Correct answer: 2 × $$ \frac{3}{7} $$
Q4.
If each slice represents one seventh of the cake, tick the expressions that the image represents.
An image in a quiz
$$ \frac{1}{5} $$ × 2
$$ \frac{5}{7} $$ × 5
Correct answer: $$ \frac{5}{7} $$ × 2
Correct answer: 2 × $$ \frac{5}{7} $$
Q5.
Which expression represents this image?
An image in a quiz
$$ \frac{1}{6} $$ × 2
Correct answer: $$ \frac{3}{6} $$ × 2
$$ \frac{2}{6} $$ × 3
Correct answer: 2 × $$ \frac{3}{6} $$
Q6.
Which image matches the expression $$ \frac{4}{5} $$ × 3
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz