What is 22/22 + 3/9?

Here's how to add

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we 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 3 by 22, and get 66, then multiply 22 by 9 and get 198.

So now our fractions look like this:

Step 2

Since our denominators match, we can add the numerators.

198 + 66 = 264

So the answer is:

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

So far so good... let's try to divide by that number again.

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...

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

So far so good... let's try to divide by that number again.

No good. 11 is larger than 4. So we're done reducing.

And we're done! Here's the final answer to 22/22 + 3/9