What is 1/10 + 2/12?

Here's how we add

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 1 by 12, and get 12, then we multiply 10 by 12 and get 120.

Now for the second term. You multiply 2 by 10, and get 20, then multiply 10 by 12 and get 120.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

12 + 20 = 32

That gives us an answer of

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Now, try the same number again.

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

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

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 1/10 + 2/12