What is 10/3 + 8/9?

This is how you add

Step 1

Now we need to make our denominators match.

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.

The problem now has new fractions to add:

Step 2

Since our denominators match, we can add the numerators.

30 + 8 = 38

The sum we get is

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 9. So we're done reducing.

There you have it! Here's the final answer to 10/3 + 8/9