Solve problems involving multiplying proper fractions by whole numbers | Maths

Starter quiz

$Tick the fraction that is shaded in the image.$

Tick the fraction that is shaded in the image.

$\frac{2}{5}$

$\frac{3}{5}$ ✓

$\frac{5}{3}$

$\frac{5}{2}$
Tick the correct symbol to compare these two expressions.

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> ✓

=
Tick the correct symbol to compare these two expressions.

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>

= ✓
Tick the correct products for this equation. 2 × $\frac{6}{8}$ =

$\frac{26}{16}$

$\frac{26}{8}$

$\frac{12}{8}$ ✓

$1\frac{2}{8}$

$1\frac{4}{8}$ ✓
Tick the correct products for this equation. $\frac{3}{5}$ × 4 =

$\frac{12}{5}$ ✓

$\frac{43}{5}$

$\frac{12}{20}$

$2\frac{2}{5}$ ✓

$1\frac{2}{5}$
Tick the correct set of symbols to compare the expressions.

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> > ✓

< >

> <

= =

Exit quiz

Write the answer to the following equation. 2 × $\frac{3}{6}$ = ______

'1' ✓
Tick expressions where the product would be greater than one whole.

$\frac{2}{7}$ × 3

$\frac{4}{6}$ × 2 ✓

$\frac{5}{9}$ × 3 ✓

$\frac{1}{8}$ × 8

$\frac{3}{5}$ × 2 ✓
Tick expressions where the product would be less than one whole.

$\frac{1}{8}$ × 3 ✓

$\frac{4}{9}$ × 2 ✓

$\frac{2}{9}$ × 5

$\frac{3}{6}$ × 2

$\frac{2}{10}$ × 5
Tick the correct symbol to compare these two expressions.

< ✓

>

=
Tick the correct symbol to compare these two expressions.

< ✓

>

=
Order the expressions from largest to smallest.

1

⇔

$\frac{3}{7}$ × 4

2

⇔

$\frac{2}{7}$ × 4

3

⇔

$\frac{3}{7}$ × 2

4

⇔

$\frac{1}{7}$ × 1

5

⇔

$\frac{6}{7}$ × 0

Worksheet

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Lesson Details

Key learning points

Use the language of unitising '__ groups of __ is equal to __'
The numerator of the fraction is multiplied by the whole number and the denominator remains the same.
If the product is an improper fraction you can convert it to a mixed number.

Common misconception

Multiplying a fraction by a larger whole number means the product will be larger.

In these examples, encourage children to see the whole number as a multiplier. Relate this back to representations where the fraction is shown to represent an area or a quantity. This should help to identify the fraction's magnitude when reasoning.

Keywords

Numerator - A numerator is the top number in a fraction. It shows how many parts we have.
Denominator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
Proper fraction - A proper fraction is a fraction where the numerator is less than the denominator.
Improper fraction - An improper fraction is a fraction where the numerator is greater than the denominator.