A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Dividing a fraction 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.

Arithmetic procedures with fractions

A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to __________

Match the value on the left with its reciprocal on the right.

Which of the following is the answer to $$\frac{3}{4} \div \frac{2}{5}$$?

Which of the following is the answer to $$\frac{2}{5} \div \frac{3}{7}$$?

Work out the missing length given the area.

Using a bar model or otherwise, complete the statement $$ 6\div \frac{2}{5}$$ = {{ }}.

Using a bar model or otherwise, complete the statement $$ 10\div \frac{2}{3}$$ = {{ }}.

Without using a bar model, which calculation is the most efficient calculation to work out $$ 8\div \frac{2}{5}$$ ?

Using a model or otherwise, work out the answer for $$5 \div \frac{2}{7}$$. 

Aisha says " It is $$6 \div \frac{2}{3}$$"

Laura says " It is $$6 \div \frac{3}{5}$$"

Sofia says " It is $$6 \div \frac{2}{5}$$"

Here is a bar model. Three of the Oak students think they know what the question was. Which student is correct?

Order the following from largest to smallest. Drawing bar models to find the mixed number may help. 

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