Here's how we 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 2 by 2, and get 4, 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.
8 + 4 = 12
That gives us an answer of
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.
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 6. So we're done reducing.
Congratulations! Here's your final answer to 8/10 + 2/5