 # What is 5/10 + 5/11? 5 10
+
 5 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 5 by 11, and get 55, then we multiply 10 by 11 and get 110. Now for the second term. You multiply 5 by 10, and get 50, then multiply 10 by 11 and get 110. We now have a new problem, that looks like this:

 55 110
+
 50 110

## Step 2

Since our denominators match, we can add the numerators.

55 + 50 = 105

That gives us the sum, which is

 105 110

## Step 3

Now, do we need to simplify this fraction?

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

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

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

 105 110
÷ 5 =
 21 22

Now, try the same number again.

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 21. So we're done reducing.