Ordering Different Types of Fraction

Maths: Year 5 & 6 National Curriculum, topic 5.6.2

Ordering and Comparing Different Types of Fractions

You need to be able to put all different types of fraction in order from smallest to largest.

$Types of fraction$

Types of fraction

There are three different types of fraction:
Proper fraction (e.g. $\large\frac{2}{3}$ ).
Improper fraction (e.g. $\large\frac{3}{2}$ ).
Mixed fraction (e.g. 1 $\large\frac{2}{3}$ ).

$Ordering fractions$

Ordering fractions

To order proper, improper and mixed fraction, you need to convert them so:
All the fractions are either proper or improper fractions.
All the fractions have the same denominator (bottom number).

Example

Example

$All fractions proper or improper$

All fractions proper or improper

All fractions should be converted to proper or improper.
Fractions that are already proper or improper fractions will stay the same.

All denominators the same

All denominators the same

Start by finding a multiple that all of the denominators have.
12 is a multiple of 2, 4 and 6.
You want to make all the denominators the same.

$Find equivalent fractions$

Find equivalent fractions

Find equivalent fractions where the denominators are 12.

$Order the fractions$

Order the fractions

It is easy to order the fractions now that all fractions have a denominator of 12.

Test yourself on Ordering Different Types of Fraction

Which of the following statements are true?
Which of the following statements are true?

Practise this topic for free