1/4 is half-way between 0 and 1/2. There are infinitely many other fractions that are also between 0 and 1/2 such as 1/3,1/5, 2/5, 1/6,1/7,2/7,3/7 to name a few.
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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.
Although the infinite rational numbers (those which can be represented as a fraction) are countable and can all be listed, it is impossible to list them in order to find the first one that occurs after 0 - whatever fraction you want to suggest as the first following 0, I can give you a smaller fraction which is between your fraction and 0: all I have to do is add 1 to the denominator.
infinity many
0 1.5-1.5=0