Hello,
When adding these fractions, finding the least common denominator is a good way to solve the problem.
The least common factor of the two denominators, 5 and 10, is 10.
So, to convert the denominator of the first fraction to 10, we multiply the first fraction by (2/2), and get 8/10.
Now, we are simply adding (8/10) + (-3/10). As the denominators are the same, we simply add the two numerators to find the sum.
So, we get (8 + (-3))/10
= (5/10)
This fraction can be further simplified; notice that 5 and 10 are both divisible by 5.
Divide the numerator and denominator by 5 to get (5/5) / (10/5) = 1/2
The answer is 1/2.
Hope this helps!