Repeated addition is the process of adding the same equal group to itself multiple times.

A unit fraction is a fraction where the numerator is 1

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

Explain the relationship between repeated addition of unit 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

Tick the expression that this image represents.

The image can be expressed as 3 × 4 The 3 represents:

Tick the unit fraction this image represents.

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

$$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$

Match the multiplicative expression to the additive expression.

Tick the images that represent this expression   $$ \frac{1}{5} $$ × 3    

Tick the expressions that represent repeated addition.

Tick the equation that represents the image.

Tick the equations that could represent this expression: 5 + 5 + 5   

Tick the equations that could represent this expression: 3 × 4    

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