Multiply a whole number by a proper fraction | Maths | Quizalize & Oak National Academy

Starter quiz

To find a unit fraction of an amount, you can:
- Divide the whole by the numerator.
- Divide the whole by the denominator. ✓
- Multiply the whole by the denominator.
The word ‘of’ can be replaced with which mathematical symbol?
- +
- -
- × ✓
- ÷
Tick all the examples here which are factors of 24
- 4 ✓
- 6 ✓
- 8 ✓
- 10
- 12 ✓
Tick the equations that represent this image.
- $\frac{1}{4}$ × 12 = 3 ✓
- 12 × $\frac{1}{4}$ = 3 ✓
- 12 ÷ 4 = 3 ✓
- 3 × 4 = 12 ✓
- 3 ÷ 4 = 12
One- fifth of 15 is equal to ______
- '3' ✓
Look at the image. 100 has been made __________.
- one-tenth the size ✓
- ten times the size
- ten times smaller ✓
- ten times larger

Exit quiz

When you multiply a whole number by a non-unit fraction, the whole number becomes ______.
- 'smaller' ✓
Fill in the missing word or symbol. $\frac{1}{5}$ ________ 20 = 4
- of ✓
- multiplied by
- times
- × ✓
Tick the equations that represent this image.
- 12 × 3 = 36
- $\frac{3}{4}$ × 12 = 9
- 12 × $\frac{1}{4}$ = 3 ✓
- 12 ÷ 4 = 3 ✓
- $\frac{1}{4}$ × 12 = 3 ✓
Tick the statements that are true.
- 10 is one-third times the size of 30 ✓
- 10 is 3 times the size of 30
- 30 is 3 times the size of 10 ✓
- 30 is one-third times the size of 10
Tick the bar model that best represents this equation: $\frac{3}{4}$ × 20 = 15
Write in the missing number for this equation.
- '4' ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

The whole has been divided into __ equal parts and there are __ in each part.
Divide the whole number into equal parts by dividing by the denominator.
The numerator tells you how many of the equal parts you need.
To calculate a non-unit fraction you divide the number by the denominator and multiply by the numerator.

Common misconception

Pupils struggle to identify how much the rod has been scaled by as they cannot visualise the fractional size of the new whole.

Encourage pupils to visualise how much the whole has shrunk by. Avoid pupils using the rods to immediately find out what size of the new whole, encourage pupils to visualise and estimate prior to checking with the rods.

Keywords

Relationship - A relationship is a connection between two or more things.
Unit fraction - A unit fraction is a fraction that has a numerator of one.
Non-unit fraction - A non-unit fraction is a fraction that has a numerator greater than one.