# What is 7/12 + 1/11?

This is how we add

 7 12
+
 1 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 7 by 11, and get 77, then we multiply 12 by 11 and get 132.

Now for the second term. You multiply 1 by 12, and get 12, then multiply 12 by 11 and get 132.

We now have a new problem, that looks like this:

 77 132
+
 12 132

## Step 2

Since our denominators match, we can add the numerators.

77 + 12 = 89

That gives us the sum, which is

 89 132

## 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...

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...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

No good. 97 is larger than 89. So we're done reducing.

Congratulations! Here's your final answer to 7/12 + 1/11

 7 12
+
 1 11
=
 89 132
© 2014 Randy Tayler