What is 12/13 + 5/10?

Here's how you add

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 12 by 10, and get 120, then we multiply 13 by 10 and get 130.

Do the same for the second term. We multiply 5 by 13, and get 65, then multiply 13 by 10 and get 130.

So now our fractions look like this:

Step 2

Since our denominators match, we can add the numerators.

120 + 65 = 185

So the answer is:

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...

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

No good. 29 is larger than 26. So we're done reducing.

Congratulations! Here's your final answer to 12/13 + 5/10