 # What is 8/12 + 5/6? This is how we add

 8 12
+
 5 6

## Step 1

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

12 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 5 by 2, and get 10, then we multiply 6 by 2 and get 12. We now have a new problem, that looks like this:

 8 12
+
 10 12

## Step 2

Since our denominators match, we can add the numerators.

8 + 10 = 18

That gives us the sum, which is

 18 12

## 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:

 18 12
÷ 2 =
 9 6

Now, try the same number again.

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

 9 6
÷ 3 =
 3 2

Now, try the same number again.

No good. 3 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 8/12 + 5/6

 8 12
+
 5 6
=
 3 2
© 2014 Randy Tayler