What is 22/22 + 5/9?

This is how you add

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

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

Do the same for the second term. We multiply 5 by 22, and get 110, then multiply 22 by 9 and get 198.

The problem now has new fractions to add:

Step 2

Since our denominators match, we can add the numerators.

198 + 110 = 308

This yields the answer

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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 + 5/9