 # What is 4/8 + 8/11? 4 8
+
 8 11

## 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 4 by 11, and get 44, then we multiply 8 by 11 and get 88. Now for the second term. You multiply 8 by 8, and get 64, then multiply 8 by 11 and get 88. We now have a new problem, that looks like this:

 44 88
+
 64 88

## Step 2

Since our denominators match, we can add the numerators.

44 + 64 = 108

That gives us the sum, which is

 108 88

## 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:

 108 88
÷ 2 =
 54 44

Now, try the same number again.

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

 54 44
÷ 2 =
 27 22

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...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

No good. 23 is larger than 22. So we're done reducing.