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

A mixed number is an improper fraction written as its whole number part plus the fractional part, where the fractional part is a proper fraction.

Partition means to split an object or value down into smaller parts.

Multiply a mixed number by a whole number not bridging a whole

Maths

In this unit pupils will multiply an improper fraction and a mixed number by a whole number. In the future unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes.

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

Multiply improper fractions and mixed numbers by a whole number

Tick the expressions that represent this image.

$$ \frac{1}{40} $$ + $$ \frac{1}{40} $$ + $$ \frac{1}{40} $$

Tick the expressions that represent this problem:It costs me £1.40 to catch the bus each day. I do this four times a week.

Write in the missing number to make this equation correct.

Tick the equation that represents the image.

Tick the expressions that could represent this image.  

Tick the images that show a mixed number. 

Tick the numbers that could be converted to a mixed number.     

Match the improper fractions to the mixed number with the same value.

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

Multiply a mixed number by a whole number not bridging a whole

Lesson outcome

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