What is 10/3 + 6/9?

Here's how to add

Step 1

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

Since 3 is evenly divided by 9, we can multiply just one term to get a common denominator.

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

So now our fractions look like this:

Step 2

Since our denominators match, we can add the numerators.

30 + 6 = 36

Now we have an answer.

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...

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.

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

Now, try the same number again.

No good. 3 is larger than 1. So we're done reducing.

Congratulations! Here's your final answer to 10/3 + 6/9