Here's how we add
Now we need to make our denominators match.
Since 5 is evenly divided by 10, we can multiply just one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 5 by 2 and get 10.
The problem now has new fractions to add:
Since our denominators match, we can add the numerators.
1 + 4 = 5
This yields the answer
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:
Let's try dividing by that again...
No good. 5 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 1/10 + 2/5