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

(-1 1/2) = -3/2
(-1 1/3) = -4/3
(-1 1/4) = -5/4
...
(-1 1/2016) = -2017/2016
(-1 1/2017) = -2018/2017

Now, we can multiply all the fractions together:

(-3/2)(-4/3)(-5/4)...(-2017/2016)(-2018/2017)

When multiplying fractions, we can cancel out common factors between the numerators and denominators. In this case, we can cancel out the -3 and 3, -4 and 4, -5 and 5, and so on, until we cancel out -2017 and 2017. This leaves us with:

(-1)(-2018/2) = 2018/2 = 1009

Therefore, the expression (-1 1/2)(-1 1/3)...(-1 1/2016)(-1 1/2017) simplifies to 1009.