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

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

A number which combines both a whole number and a fraction.

A numerator is the top number in a fraction. It shows how many parts we have.

A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

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

Maths

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

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

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

Tick the fraction represented by the image.

Which image matches the expression $$ \frac{2}{3} $$ × 3?

$$ \frac{5}{7} $$ × 3 = $$ \frac{15}{21} $$

$$ \frac{5}{7} $$  × 3 = $$ \frac{15}{7} $$

$$ \frac{5}{7} $$  × 3 = $$ \frac{7}{15} $$

3 × $$ \frac{5}{7} $$ = $$ \frac{15}{21} $$

3 × $$ \frac{5}{7} $$ = $$ \frac{15}{7} $$

Tick the correct products for this equation. 4 × $$ \frac{2}{10} $$ =

Tick the correct products for this equation. 3 × $$ \frac{3}{5} $$ = 

Which expression would be equal to this product? $$ \frac{24}{6} $$

What fraction of this shape is not shaded.

 $$ \frac{2}{7} $$ + $$ \frac{2}{7} $$ + $$ \frac{2}{7} $$  

Which expressions are represented by the number line.

$$ \frac{2}{9} $$ × 4 = $$ \frac{8}{18} $$

 $$ \frac{2}{9} $$  × 4 = $$ \frac{8}{9} $$

$$ \frac{9}{2} $$  × 4 = $$ \frac{36}{2} $$

4 × $$ \frac{2}{9} $$ = $$ \frac{8}{9} $$

$$ \frac{2}{9} $$ = 4 × $$ \frac{8}{9} $$

Match the equation to the correct product.

Order the expressions from largest to smallest.

Starter Quiz

Tick the non-unit fractions.