A unit fraction is a fraction where the numerator is 1

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

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

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

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

Maths

In this unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number. In the future unit pupils will multiply an improper fraction and a mixed number by a whole number.

In the prior unit pupils added mixed numbers. They subtracted a proper fraction from a mixed number and subtracted a mixed number from a mixed number. In this unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number.

Multiply a proper fraction by a whole number

$$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ + $$ \frac{1}{7} $$ is equal to:

$$ \frac{3}{7} $$ + $$ \frac{3}{7} $$ is equal to:

If each slice represents one seventh of the cake, tick the expressions that the image represents.

Which image matches the expression   $$ \frac{4}{5} $$ × 3

Tick the unit fraction this image represents.

The whole has been divided into 5 equal parts. Each part represents one {{ }}.

$$ \frac{1}{4} $$ + $$ \frac{1}{4} $$ + $$ \frac{1}{4} $$ is equal to:

Which expressions would match this image?

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

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

Match the multiplicative expression to the additive expression.

This lesson will be removed by end of Summer Term 2025.

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

Lesson outcome

This lesson will be removed by end of Summer Term 2025.