 # What is 1/2 + 5/9? 1 2
+
 5 9

## 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 1 by 9, and get 9, then we multiply 2 by 9 and get 18. Now for the second term. You multiply 5 by 2, and get 10, then multiply 2 by 9 and get 18. This gives us a new problem that looks like so:

 9 18
+
 10 18

## Step 2

Since our denominators match, we can add the numerators.

9 + 10 = 19

That gives us an answer of

 19 18

## Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

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...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. 19 is larger than 18. So we're done reducing.

And we're done! Here's the final answer to 1/2 + 5/9

 1 2
+
 5 9
=
 19 18