To simplify this expression, we can first rewrite each term as a fraction:

(1+1/2) = 3/2
(1+1/3) = 4/3
(1+1/4) = 5/4
(1+1/5) = 6/5

Continuing this pattern, we can rewrite the expression as:

(3/2)(4/3)(5/4)(6/5)....(2024/2023)

Now, we can see that each numerator cancels out with the denominator of the next term, leaving us with:

2024/2 = 1012

Therefore, the simplified expression is 1012.