 # What is 5/12 + 6/8? 5 12
+
 6 8

## Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 5 by 8, and get 40, then we multiply 12 by 8 and get 96. Now for the second term. You multiply 6 by 12, and get 72, then multiply 12 by 8 and get 96. We now have a new problem, that looks like this:

 40 96
+
 72 96

## Step 2

Since our denominators match, we can add the numerators.

40 + 72 = 112

That gives us the sum, which is

 112 96

## 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:

 112 96
÷ 2 =
 56 48

Now, try the same number again.

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

 56 48
÷ 2 =
 28 24

Now, try the same number again.

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

 28 24
÷ 2 =
 14 12

Now, try the same number again.

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

 14 12
÷ 2 =
 7 6

Now, try the same number again.

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

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

No good. 7 is larger than 6. So we're done reducing.