There is no possible answer.
For any given fraction, half that fraction is another fraction and it will be closer to 0. And then half of that will be closer still, and then half of that ... . Hope you get the idea.
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1/infinity is the smallest fraction possible, but what number line the question is referring to is not specified so that's the only thing that can be stated here.
787/10000. Not only is it closest, it is exactly the same.
If the numerator is 0, the fraction equals 0.
3/10
1/2