Here's how you add
Our denominators (bottom numbers) don't match, so we can't add yet.
10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.
Multiply 1 by 2, and get 2, then we multiply 5 by 2 and get 10.
We now have a new problem, that looks like this:
Since our denominators match, we can add the numerators.
2 + 3 = 5
Now, do we need to simplify this fraction?
First, we attempt to divide 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.
No good. 5 is larger than 1. So we're done reducing.
Congratulations! Here's your final answer to 1/5 + 3/10