# How do you add Fractions?

"Math Salamanders Free Math Sheets"

Welcome to the Math Salamanders How do you Add Fractions support page.

How to Print or Save these sheets

• Follow the 3 easy steps below to get your worksheets printed out perfectly!
Step 1

Click it.

Step 2

Magnify it
(if needed).

Step 3

Print it!

Need further help? Use our How to Print Support Page

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 do you add fractions video

How do you add fractions Support

Step 1: Convert the fractions to the same denominator.

If the fractions already have the same denominator, you do not need to do anything!

Step 2: Add the two numerators together (and keep the denominator the same) to get the answer.

See below for a step-by-step breakdown of how to add fractions.

Step 1: Convert the fractions to the same denominator.

If the fractions already have the same denominator, skip the rest of this part.

If the fractions have different denominators, keep reading!

We can only add fractions together if they have the same denominator.

It is a bit like when you are adding inches and centimetres together - you need to convert both measures to the same units - either centimetres or inches!

There are two different possibilities for the this step:

Step 1a) If one of the denominators is a multiple of the other denominator.

If this is the case, you just need to multiply the numerator and denominator of the fraction with the lower denominator so that the two denominators are the same.

Step 1b) If one of the denominators is not a multiple of the other denominator.

The easiest and simplest way to convert the two fractions to equivalent fractions with the same denominators is to multiply the numerator and denominator of each fraction by the other fraction's denominator.

Step 2: Add the two numerators together

Once the two fractions have the same denominator, we can add the numerators together.

This will give us the answer we are looking for.

Have a look at the examples below to see how it all works!

How do you Add Fractions - Examples

Example 1)   3 5 +      4  15

Step 1)

You will notice that the second denominator (15) is a multiple of the first denominator (5) so we need to follow Step 1a)

So we need to multiply the numerator and denominator of the first fraction by 3.

This give us:

3 5 =   3x3 5x3 =    9  15

So we now have:

3 5 +      4  15 =    9  15 +      4  15

Step 2)

Now the denominators are equal, all we need to do now is to add the numerators together.

9  15 +      4  15 =   9+4  15 =   13 15

Example 2)   2 7 +     3 4

Step 1)

The denominator of the first fraction is 7. The denominator of the second fraction is 4. These numbers are not multiples of one another.

We need to use Step 1b)

So we multiply the numerator and denominator of the first fraction by the second fraction's denominator (4).

This give us:

2 7 =   2x4 7x4 =    8  28

Next we multiply the second fraction's numerator and denominator by the first fraction's denominator (7).

This give us:

3 4 =   3x7 4x7 =   21 28

Step 2)

Now the denominators are equal, all we need to do now is to add the numerators together.

2 7 +     3 4 =    8  28 +   21 28 =   29 28 or   1  1  28

So let's remember the two important steps:

Step 1: convert both fractions to fractions with the same denominator

Step 2: add the two numerators and keep the denominator the same!

How do you add fractions - the algebra...

How do you add fractions printable sheets

Learning Fractions

Math-Salamanders.com

### Math Salamanders Shop

Looking for some fun printable math games?

We have a wide selection of games in our e-booklets for each grade 1st to 5th grade.

### New Math Sheets

Check out our LATEST webpages.

Take a look at all our latest worksheets!

### Some of our TOP pages!

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

### Support Us

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!

### Printable Math Ceritificates

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!

### ABCmouse

ABCmouse is a subscription based online education program designed for children aged from 2 to 8.

Fun learning activities based around Reading, Math, Science and Art.

Winner of several curriculum awards, including Mom's Choice Awards (Gold) and Parents Choice Gold Award.

Try it free for 30 days!

### SBI -

Looking for a new direction in your life in 2017?

Got a hobby or passion you want to share?