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

 1 11
+
 3 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 1 by 8, and get 8, then we multiply 11 by 8 and get 88. Now for the second term. You multiply 3 by 11, and get 33, then multiply 11 by 8 and get 88. We now have a new problem, that looks like this:

 8 88
+
 33 88

Step 2

Since our denominators match, we can add the numerators.

8 + 33 = 41

That gives us the sum, which is

 41 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. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. 43 is larger than 41. So we're done reducing.

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

 1 11
+
 3 8
=
 41 88
© 2014 Randy Tayler