The expression in a fraction that is written above the fraction line. It is the dividend.

The expression in a fraction that is written below the fraction line. It is the divisor.

Checking understanding of multiplication with fractions

Maths

Checking understanding of addition and subtraction with fractions

Securing understanding of addition and subtraction with fractions

Securing understanding of multiplication with fractions

Deepening understanding of multiplication with fractions

Checking and securing dividing a fraction by a whole number

Dividing a whole number by a fraction

Dividing a fraction by a fraction

Priority of operations with positive and negative integers, decimals and fractions

Problem solving with arithmetic procedures involving fractions

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

What fraction of the rectangle is shaded?

What calculation is represented by the area of the rectangle shaded?

Calculate $${2}\over{3}$$ × $${3}\over{5}$$.

Calculate $${2}\over{3}$$ × $${3}\over{4}$$ × $${2}\over{5}$$.

Calculate $${8}\over{12}$$ × $${3}\over{4}$$ × $${2}\over{3}$$, give your answer in its simplest form.  Try to simplify before calculating.

What is the name of a fraction where the numerator is greater than or equal to the denominator?

Which of the following is $$2 {{3} \over {5}}$$ as an improper fraction?

(3 - 1) + $$\left(\frac25-\frac58\right)$$

(3 - 1) - $$\left(\frac25-\frac58\right)$$

Which of the following shows a correct first step to calculate $$3 {{2} \over {5}}$$ - $$1 {{5} \over {8}}$$?

Which of the following can be simplified before calculating?

What is the missing digit in this calculation $$2 {{\square} \over {8}}$$ - $$1 {{3} \over {4}}$$ = $${{3} \over {8}}$$?

Calculate $$3 {{2} \over {5}}$$ - $$1 {{2} \over {3}}$$, give your answer in its simplest form.

Starter Quiz

What is the name of a fraction where the numerator is greater than or equal to the denominator?