 # What is 1/8 + 3/11? This is how you add

 1 8
+
 3 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 1 by 11, and get 11, then we multiply 8 by 11 and get 88. Now for the second term. You multiply 3 by 8, and get 24, then multiply 8 by 11 and get 88. We now have a new problem, that looks like this:

 11 88
+
 24 88

## Step 2

Since our denominators match, we can add the numerators.

11 + 24 = 35

That gives us the sum, which is

 35 88

## Step 3

Now, do we need to simplify this fraction?

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

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. 37 is larger than 35. So we're done reducing.

And we're done! Here's the final answer to 1/8 + 3/11

 1 8
+
 3 11
=
 35 88
© 2014 Randy Tayler