Explanation:

This type of questions can be solved by a short trick that is the last term numerator, and the first term denominator will be the answer.
i.e., 1+1/2 = 3/2, 1+1/3 = 4/3, 1+1/4 = 5/4, and so on.
(3/2)*(4/3)*(5/4) .... ((x+1)/x) = (½) (x+1)
The first term numerator cancelled by its next term denominator till the end.
In the end, we get (x+1)/2.