To answer this question, we need to calculate how many crows are left on the fence after the farmer shoots one-third of them.
There are initially 15 crows on the fence. If the farmer shoots one-third of them, we need to find one-third of 15.
One-third of 15 can be calculated by multiplying 15 by 1/3:
$$\frac{15}{3} = 5$$
So, if the farmer shoots one-third of the 15 crows, there will be 5 crows left on the fence.
Therefore, the correct answer is option D) 0.