- Home |
- Contact Us |
- Privacy Policy |
- Copyright |
- Shop |
- Search |
- Donate

Welcome to the Math Salamanders Finding Equivalent Fractions
support page.

Here you will find some helpful support in learning how
to find equivalent fractions.

Here you will find some simple advice and support to help you learn to find equivalent fractions.

Towards the bottom of this page, there are also three printable resource sheets which explain about equivalent fractions in a little more detail.

Being able to find equivalent fractions is really important to know before you start trying to add or subtract fractions with different denominators.

So what is an equivalent fraction?

If two fractions are *equivalent*, it means that
they are equal, or represent the same value.

How do I find an equivalent fraction?

A good way to learn equivalent fractions is by looking at fraction strips.

Let us look at the fraction strips for a half.

A half is worth half of a whole. If we split each of the halves into two equal pieces, we end up with fourths or a whole split up into 4 equal parts.

Each half has been split into two-fourths (as there are two parts out of 4 parts shaded), so we have the equivalent fraction:

*
1
2
=
2
4
*

If we split each half into three equal pieces instead of 2, we get 3 strips shaded (the numerator) out of a total of 6 strips (the denominator), giving the fraction three-sixths.

This gives us

*
1
2
=
2
4
=
3
6
*

We can repeat this by splitting the same half into 4, 5, 6, etc. pieces, ending up with:

*
1
2
=
2
4
=
3
6
=
4
8
=
5
10
*

This series of fractions equivalent to a half could be continued for ever.

This process can be repeated for any fraction.

Let us look at the fraction two-thirds.

If we split each of the thirds into two equal parts, we get 4 pieces shaded instead of 2, and we now have 6 parts making the whole instead of 3.

In other words, we have doubled the number of shaded parts (numerator) and also doubled the number of total parts (denominator).

So now we have

*
2
3
=
4
6
*

Again, this can be repeated and the fraction two-thirds could be split into any number of equal parts.

This gives us the equivalent fraction sequence:

*
2
3
=
4
6
=
6
9
=
8
12
=
10
15
*

Each time the fraction is split, both the denominator and the numerator are multiplied by the split. This gives us an equivalent fraction.

In other words, if you multiply the numerator and denominator by the same number, you get the same (or equivalent) fraction.

And by using the same logic, if we divide the numerator and denominator by the same number, you get an equivalent fraction.

Example 3) Take the fraction

2 3

If we multiply the numerator and denominator both by 2, we get

4 6

These two fractions are equivalent.

Example 4) Take the fraction

4 8

If we divide the numerator and denominator both by 2, we get

2 4

These two fractions are equivalent.

We have found out that if you multiply or divide the numerator and denominator of a fraction by the same number, you get an equivalent fraction.

If you would like to see this all in a little more detail, please print out the 3 sheets below which will tell you all you need about equivalent fractions.

Here you will find a selection of Equivalent Fractions worksheets designed to help your child practice their equivalent fraction facts.

This is a key learning step your child needs to be confident with before they start learning to add and subtract fractions with different denominators.

Using these sheets will help your child to:

- apply their understanding of equivalent fractions.

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.

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Search here!

Looking for some fun printable math games?

We have some great games for you to play in our Math Games e-books!

- Online Times Table Practice
- Online + and - Practice
- Times Table Worksheets
- Geometry Sheets
- Fraction Sheets
- Money Sheets
- Math Games
- Fun Math Puzzles & Activities
- Math Help Pages
- Math Word Problems

Check out our *LATEST* webpages.

Take a look at all our latest worksheets!

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- List of Geometric Shapes
- Equivalent Fractions
- Printable Shapes
- 3d Geometric Shapes
- Perimeter Worksheets
- Reverse Percentage Calculator

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

Looking for some cool math certificates to hand out?

A certificate is a great way to praise achievement in math learning.

Check out our printable math certificate collection!

Looking for a new direction in your life?

Got a hobby or passion you want to share?

Looking to get a better work-life balance?

Create your own business from the comfort of your home...

Click here for my story!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.