Checking understanding of multiplication with fractions | Maths

Starter quiz

What is the name of a fraction where the numerator is greater than or equal to the denominator?
- 'improper fraction' ✓
Which of the following is $2 {{3} \over {5}}$ as an improper fraction?
- ${{10} \over {5}}$
- ${{13} \over {5}}$ ✓
- ${{23} \over {5}}$
- ${{30} \over {5}}$
Which of the following shows a correct first step to calculate $3 {{2} \over {5}}$ - $1 {{5} \over {8}}$ ?
- ${17}\over{5}$ - ${13}\over{8}$ ✓
- ${10}\over{5}$ - ${11}\over{6}$
- (3 - 1) + $\left(\frac25-\frac58\right)$ ✓
- (3 - 1) - $\left(\frac25-\frac58\right)$
Which of the following can be simplified before calculating?
- ${5}\over{8}$ - ${6}\over{24}$ ✓
- ${1}\over{7}$ + ${3}\over{8}$
- ${2}\over{5}$ - ${5}\over{12}$
- ${5}\over{10}$ + ${7}\over{12}$ ✓
What is the missing digit in this calculation $2 {{\square} \over {8}}$ - $1 {{3} \over {4}}$ = ${{3} \over {8}}$ ?
- 1 ✓
- 2
- 3
- 4
- 5
Calculate $3 {{2} \over {5}}$ - $1 {{2} \over {3}}$ , give your answer in its simplest form.
- ${12}\over{2}$
- ${26}\over{15}$
- $1 {{11} \over {15}}$ ✓
- $2 {{11} \over {15}}$

What is the product of 8 and 4?
- 2
- 4
- 12
- 32 ✓
$What fraction of the rectangle is shaded?$

What fraction of the rectangle is shaded?
- ${6}\over{9}$
- ${6}\over{12}$
- ${6}\over{15}$ ✓
- ${6}\over{18}$
What calculation is represented by the area of the rectangle shaded?
- 2 × 3
- ${1}\over{3}$ × ${3}\over{5}$
- ${2}\over{3}$ × ${3}\over{5}$ ✓
- ${2}\over{3}$ × ${4}\over{5}$
Calculate ${2}\over{3}$ × ${3}\over{5}$ .
- ${5}\over{15}$
- ${6}\over{3}$
- ${6}\over{8}$
- ${6}\over{15}$ ✓
Calculate ${2}\over{3}$ × ${3}\over{4}$ × ${2}\over{5}$ .
- ${7}\over{20}$
- ${7}\over{60}$
- ${12}\over{60}$ ✓
- ${15}\over{60}$
Calculate ${8}\over{12}$ × ${3}\over{4}$ × ${2}\over{3}$ , give your answer in its simplest form. Try to simplify before calculating.
- ${48}\over{144}$
- ${4}\over{12}$
- ${1}\over{3}$ ✓
- ${1}\over{4}$

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An array can help expose the structure behind multiplying fractions.
The denominators give us the number of rows and columns.
By shading one fraction of the whole, you can then shade a fraction of the fraction shown.
When multiplying you multiply the numerators together and the denominators together.
You can use equivalent fractions to be more efficient.

Use of inefficient methods to multiply fractions, i.e. not considering common factors.

The use of fractions with large numerators and denominators can be used to highlight when this is a useful method.

Numerator - The expression in a fraction that is written above the fraction line. It is the dividend.
Denominator - The expression in a fraction that is written below the fraction line. It is the divisor.