Multiply a proper fraction by a whole number where the product is within a whole | Maths

Starter quiz

$The name for the number on the bottom of a fraction is the ____________.$

The name for the number on the bottom of a fraction is the ____________.
- numerator
- fractional part
- denominator ✓
- vinculum
Tick the expressions that represent this image.
- 3 + 3 + 3 = 9 ✓
- 3 × 3 = 9 ✓
- 9 = 3 + 3 + 3 ✓
- 6 = 3 × 3
Tick the factors of 12
- 2 ✓
- 3 ✓
- 4 ✓
- 5
- 6 ✓
Which image represents this expression? 4 × $\frac{2}{12}$
Which expression represents this image?
- $\frac{2}{8}$ × 2
- $\frac{2}{8}$ × 3 ✓
- $\frac{2}{3}$ × 8
- 3 × $\frac{2}{8}$ ✓
Which image matches the expression $\frac{2}{7}$ × 3

Exit quiz

$The name for the number on the top of a fraction is the ____________.$

The name for the number on the top of a fraction is the ____________.
- numerator ✓
- fractional part
- denominator
- vinculum
When you multiply a fraction by a whole number, the denominator __________.
- increases in size.
- decreases in size.
- stays the same. ✓
The yellow coloured part has a value of:
- $\frac{2}{8}$ ✓
- $\frac{6}{8}$
- $\frac{2}{6}$
- $\frac{2}{4}$
Which images match the equation $\frac{3}{9}$ × 2 = $\frac{6}{9}$
Which equation represents this image?
- $\frac{4}{20}$ × 4 = $\frac{8}{20}$
- $\frac{4}{20}$ × 4 = $\frac{16}{80}$
- $\frac{4}{20}$ × 4 = $\frac{16}{20}$ ✓
- 4 × $\frac{4}{20}$ = $\frac{16}{20}$ ✓
- $\frac{16}{20}$ = 4 × $\frac{4}{20}$ ✓
Which equation represents this image?
- $\frac{10}{3}$ × 3 = $\frac{30}{3}$
- $\frac{3}{10}$ × 3 = $\frac{9}{10}$ ✓
- $\frac{9}{10}$ = $\frac{3}{10}$ × 3 ✓
- $\frac{9}{10}$ = 3 × $\frac{3}{10}$ ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

If 4 groups of 2 are equal to 8 then 4 groups of 2 ninths are equal to 8 ninths
__ groups of __ is equal to __
The numerator of the fraction is multiplied by the whole number and the denominator remains the same

Common misconception

Pupils multiply both the numerator and denominator by the whole number.

Ensure pupils are given time to explore how equations are represented using multiple representations and avoiding 'finding the answer' initially. Encourage children to reason how each equation is linked to the representations.

Keywords

Represent - To represent something is to show it in a different way.
Numerator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
Denominator - A numerator is the top number in a fraction. It shows how many parts we have.
Unitise - Unitising means treating groups that contain or represent the same number of things as units or ones.