A proper fraction is a fraction where the numerator is less than the denominator

Dividing a whole number by a fraction

Maths

In this unit, pupils generalised and developed their fluency of multiplying with fractions. In the future unit, this understanding is extended to ratio and connections between ratios and fractions are explored.

In the prior unit, pupils explored the structure of fractions and their relationship with decimals and integers. In this unit, pupils deepen their understanding of the arithmetic procedures involving fractions and integers.

This unit revisits and secures fraction operations and extends pupil understanding to division of whole numbers by fractions and division of fractions by fractions.

Arithmetic procedures with fractions

Using the bar model, work out $$ 4\div \frac{2}{3} = $$ {{ }}.

Using the bar model, work out $$ 3\div \frac{3}{4} = $$ {{ }}.

Match the question on the left with the calculation on the right.

By drawing your own bar models or otherwise, match the calculations on the left with the answers on the right.

How many halves are in 3 wholes? (You can use a bar model if it helps.)

The bar model shows that there are {{ }} lots of a $${1} \over {3}$$ in 4.

The bar model shows that there are {{ }} lots of a $${1} \over {5}$$ in 3.

Laura says "There are 500 tenths because $$ 5\times 100$$ = 500"

Andeep says "There are 50 tenths because $$ 5\times 10$$ = 50"

Jun says "There are 50 tenths because each 10 wholes has five fifths."

Alex says "There are 2 tenths because $$ 10\div5 $$ = 2"

The Oak teacher gave 4 pupils a question, "How many tenths are there in 5?" Select the correct answer and explanation. 

Sort the following from largest to smallest.

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

Dividing a whole number by a fraction

Lesson outcome

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