What is 22/22 + 11/12?

Here's how we add

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 22 by 12, and get 264, then we multiply 22 by 12 and get 264.

Now for the second term. You multiply 11 by 22, and get 242, then multiply 22 by 12 and get 264.

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

Step 2

Since our denominators match, we can add the numerators.

264 + 242 = 506

Answer:

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:

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...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

Now, try the same number again.

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

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 22/22 + 11/12