Here's how you add
Our denominators (bottom numbers) don't match, so we can't add yet.
12 goes into 3 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 4, and get 8, then we multiply 3 by 4 and get 12.
We now have a new problem, that looks like this:
Since our denominators match, we can add the numerators.
2 + 8 = 10
Now, do we need to simplify this fraction?
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.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
No good. 7 is larger than 5. So we're done reducing.
Congratulations! Here's your final answer to 2/12 + 2/3