# What is 1/4 + 6/8?

Here's how you add

 1 4
+
 6 8

## Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

8 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 2, and get 2, then we multiply 4 by 2 and get 8.

We now have a new problem, that looks like this:

 2 8
+
 6 8

## Step 2

Since our denominators match, we can add the numerators.

2 + 6 = 8

 8 8

## Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

 8 8
÷ 2 =
 4 4

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

 4 4
÷ 2 =
 2 2

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

 2 2
÷ 2 =
 1 1

Now, try the same number again.

No good. 2 is larger than 1. So we're done reducing.

Congratulations! Here's your final answer to 1/4 + 6/8

 1 4
+
 6 8
=
 1 1
= 1
© 2014 Randy Tayler