This is how we add
We have to make sure the denominators are equal.
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.
This gives us a new problem that looks like so:
Since our denominators match, we can add the numerators.
2 + 1 = 3
That gives us an answer of
Can this fraction be reduced?
First, we attempt to divide it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. 5 is larger than 3. So we're done reducing.
And we're done! Here's the final answer to 1/5 + 1/10