We will try to see how many numbers repeat in both the numerator and denominator, and cross them out. We find that the bottom right of a parenthesis corresponds with the top left of the next consecutive parenthesis. The top right of a parenthesis corresponds with the bottom left of the next consecutive parenthesis.
We cross out all the numbers except for the leftmost and rightmost numbers. We get: (1 * 100)/(2 * 99) = 50/99, so the answer is B.
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