What is 22/22 + 8/9?

Here's how you add

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 22 by 9, and get 198, then we multiply 22 by 9 and get 198.

Now for the second term. You multiply 8 by 22, and get 176, then multiply 22 by 9 and get 198.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

198 + 176 = 374

So what's the answer so far?

Step 3

Can this fraction be reduced?

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.

No good. 11 is larger than 9. So we're done reducing.

Congratulations! Here's your final answer to 22/22 + 8/9