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

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

Multiply a proper fraction by a whole number where the product is within a whole

Multiply a proper fraction by a whole number where the product is greater than a whole

Solve problems involving multiplying proper fractions by whole numbers

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.

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.

Starter Quiz

Tick the unit fraction this image represents.