What is 10/3 + 7/9?

Let's add

Step 1

We have to make sure the denominators are equal.

9 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 10 by 3, and get 30, then we multiply 3 by 3 and get 9.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

30 + 7 = 37

So what's the answer so far?

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. 11 is larger than 9. So we're done reducing.

And we're done! Here's the final answer to 10/3 + 7/9