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

Starter quiz

A non-unit fraction is a fraction that has a numerator that is __________.

greater than one ✓

less than one

equal to the denominator
Tick the unit fractions.

$\frac{1}{4}$ ✓

$\frac{2}{5}$

$\frac{7}{8}$

$\frac{1}{10}$ ✓
$Look at the image. If this is the whole, what fraction of the whole is each segment?$

Look at the image. If this is the whole, what fraction of the whole is each segment?

$\frac{1}{4}$

$\frac{1}{5}$

$\frac{1}{8}$ ✓

$\frac{1}{10}$
Tick the descriptions that match this image.

3 tenths ✓

3 lots of one-tenth ✓

one-tenth, 3 times ✓

one-third
$The image represents the whole. How many £1 coins would be equivalent to <Math> \frac{4}{5} </Math> of the whole?$

The image represents the whole. How many £1 coins would be equivalent to $\frac{4}{5}$ of the whole?

'4' ✓
These three circles make up one-quarter of the whole. How many circles are needed to make the whole?

'12' ✓

Exit quiz

$The image represents <Math> \frac{4}{8} </Math> of the pizza. Tick the image that shows <Math> \frac{1}{8} </Math>$

The image represents $\frac{4}{8}$ of the pizza. Tick the image that shows $\frac{1}{8}$
$The image represents <Math> \frac{5}{6} </Math> of the whole. Tick the image that represents <Math> \frac{1}{6} </Math>$

The image represents $\frac{5}{6}$ of the whole. Tick the image that represents $\frac{1}{6}$
$The part of the image shown by the arrow represents <Math> \frac{4}{10} </Math> How many intervals would represent <Math> \frac{1}{10} </Math>$

The part of the image shown by the arrow represents $\frac{4}{10}$ How many intervals would represent $\frac{1}{10}$

1 ✓

2

3

4
$The shaded part of the image represents <Math> \frac{1}{5} </Math> Tick the images that represent <Math> \frac{3}{5} </Math>$

The shaded part of the image represents $\frac{1}{5}$ Tick the images that represent $\frac{3}{5}$
$Izzy has saved some money. The image shows <Math> \frac{5}{10} </Math> of what she has saved. How much would <Math> \frac{1}{10} </Math> of her saved money be equal to? £<span class="blank">______</span>$

Izzy has saved some money. The image shows $\frac{5}{10}$ of what she has saved. How much would $\frac{1}{10}$ of her saved money be equal to? £______

'2' ✓
$The arrow on the number line represents <Math> \frac{3}{9} </Math> How many intervals would be equal to <Math> \frac{1}{9} </Math>?$

The arrow on the number line represents $\frac{3}{9}$ How many intervals would be equal to $\frac{1}{9}$ ?

1

2

3 ✓

4

5

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

This is __ of the whole so one part of the whole is __
There will be __ of these parts in the whole

Common misconception

Pupils think that they have to divide the shape by the denominator to create the unit fraction.

This is an example of where a lack of conceptual understanding can lead to procedural errors. Ensure pupils represent the maths using equal parts and label each of these parts as the fractional value they have.

Keywords

Represent - To represent something means to show something in a different way. The same thing can be shown using multiple representations.
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.