How to find out a mixed fraction from an improper fraction - GRE Quantitative Reasoning

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Question

and are positive integers.

is a multiple of .

Quantity A:

Quantity B:

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Answer

Recall that the exponent of the denominator is sutracted from the exponent of the numerator.

Therefore Quantity A is equivalent to x5–y, and because we would then be comparing an arithmetic operation to a geometric operation, it does not matter whether y is a multiple of 5. The two quantities cannot be compared.

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