Welcome to the Math Salamanders support page about
How to Simplify Fractions.

Here you will find information and support about
how to convert a fraction into its simplest form.

Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context.

For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.

Once the concept of fractions as numbers and fractions as parts of a whole has been understood, your child will be well on their way to developing a sound understanding of fractions.

Here you will find some simple information and advice about how to simplify a fraction.

At the bottom of this page you will also find a printable resource sheet and some practice sheets which will help you understand and practice this math skill.

Using these sheets will help your child to:

- understand simplest form;
- develop their knowledge of equivalent fractions.

All the Printable Fraction sheets in this section support Elementary Math Benchmarks for 4th Grade.

Take a look at our NEW Simplifying Fractions Practice Zone for finding the simplest form for a range of fractions.

You can choose from proper fractions, improper fractions or both.

You can print out your results or benchmark your scores against future achievements.

Great for using with a group of children as well as individually.

If you want to simplify a fraction, please use the calculator below.

To enter a fraction, you have to enter the numerator followed by '/' followed by the denominator. E.g. 4/5 or 23/7

To enter a mixed fraction, first type the whole number followed by space followed by the numerator followed by '/' followed by the denominator. E.g. 3 1/4 (3 and a quarter).

If you need to find out how to simplify a fraction, there is more help further down!

This short video clip will show you how to reduce 4 different fractions into simplest form.

To simplify a fraction, you need to follow the 2 steps below:

Step 1

Look for a common factor of both the numerator and denominator.

- If there are no common factors (other than 1) then the fraction is already in its simplest form and you have finished.
- Try to find the highest factor of both numbers (highest common factor) that you can!

Step 2

Reduce the numerator and denominator by dividing them both by the common factor. Now go back to Step 1.

Your fraction should now be in its simplest form.

Convert Fractions to Simplest Form printable sheet

**
Example 1) Convert
35
45
to simplest form.
**

A common factor of both numbers is 5, so we need to divide the numerator and denominator by 5. This gives us:

35 ÷ 5 45 ÷ 5 = 7 9

There are no more common factors (except 1) and so this fraction is now in simplest form.

**
Example 2) Convert
68
220
into simplest form.
**

A common factor of both numbers is 2. Dividing the numerator and denominator by 2 gives us:

68 ÷ 2 220 ÷ 2 = 34 110

We are not finished yet, because 2 is a common factor of both numbers.

34 ÷ 2 110 ÷ 2 = 17 55

There are no more common factors (except 1) and so this fraction is now in simplest form.

Here you will find some practice sheets to test your skills at converting fractions to simplest form.

Here you will find the Math Salamanders free online Math help pages about Fractions.

There is a wide range of help pages including help with:

- fraction definitions;
- equivalent fractions;
- converting improper fractions;
- how to add and subtract fractions;
- how to convert fractions to decimals and percentages;
- how to simplify fractions.

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