What is 10/3 + 3/9?

Here's how we add

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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 + 3 = 33

That gives us an answer of

Step 3

Can this fraction be reduced?

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

Nope. Try the next prime number, 3...

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

Now, try the same number again.

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 10/3 + 3/9