Find the whole when the size of a unit fraction is known | Maths

Starter quiz

Tick the unit fractions.

$\frac{1}{4}$ ✓

$\frac{2}{6}$

$\frac{3}{4}$

$\frac{1}{10}$ ✓
Tick fractions with a denominator of 4

$\frac{4}{5}$

$\frac{3}{4}$ ✓

$\frac{4}{8}$

$\frac{1}{4}$ ✓

$4\frac{1}{9}$
Which image shows one-fifth of the whole?
What is the value of each part on this number line?

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{5}$ ✓

$\frac{2}{5}$
Calculate $\frac{1}{5}$ × 5 = ______

'1' ✓
Calculate and find the missing value. $\frac{1}{9}$ × ______ = 1

'9' ✓

Exit quiz

A unit fraction is a fraction with a numerator of ______

'1' ✓
$If this is the whole, what fraction of the whole is each segment?$

If this is the whole, what fraction of the whole is each segment?

$\frac{1}{4}$

$\frac{2}{5}$

$\frac{1}{5}$ ✓

$\frac{5}{1}$
This heart is one-quarter of the whole. How many parts make up the whole?

2

3

4 ✓

5
If this blue circle is one-eighth of the whole, which images could represent the whole?
These two triangles make up one-fifth of the whole. How many triangles are needed to make the whole?

'10' ✓
If this 50 p coin is one-tenth of the whole, what is the value of the whole?

'£5' ✓

Worksheet

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Lesson Details

Key learning points

The whole has been divided into __ equal parts and this is one of the parts.
There will be __ of these parts in the whole.
The whole is __ times the size of this part.
If you know the size of a unit fraction, you can work out the size of the whole.

Common misconception

When a unit fraction is represented as a quantity greater than one, pupils may think each part of the unit fractions quantity is itself the unit fraction of the whole.

Draw a circle around the quantity each time to encourage pupils to recognise that each set of objects is representative of a quantity that is one part of the whole.

Keywords

Unit fraction - A unit fraction is a fraction that has a numerator of one.
Denominator - The denominator is the number on the bottom of a fraction. It tells us how many parts the whole has been divided into.