What is

Add
1/2x^2 + 1/2x + 1/5
3/5x^2 - 4/5x + 1/3

In (1/2)x², (1/2) is the coefficient of the term in x².

You'll have to add the coefficients of the terms of the same degree.
For example:
(1/2)x²+(3/5)x²
= (1/2+3/5)x²
= (11/5)x²

So similarly add like terms
(1/2)x-(4/5)x
=(1/2-4/5)x
=-(3/10)x

and
(1/5)+(1/3)
=(1/5+1/3)
=8/15

So the answer is:
(11/5)x² -(3/10)x + 8/15