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# Which of the following equals

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Which of the following equals [#permalink]  17 Dec 2016, 08:03
Expert's post
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Question Stats:

85% (00:33) correct 14% (01:32) wrong based on 7 sessions
Which of the following equals the reciprocal of $$x - \frac{1}{y}$$, where $$x - \frac{1}{y}$$ different from zero ?

(A) $$\frac{1}{x} - y$$

(B) $$\frac{-y}{x}$$

(C) $$\frac{y}{x - 1}$$

(D) $$\frac{x}{xy - 1}$$

(E) $$\frac{y}{xy - 1}$$
[Reveal] Spoiler: OA

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Re: Which of the following equals [#permalink]  29 Sep 2017, 07:43
$$x-\frac{1}{y}=\frac{xy-1}{y}$$. Then taking the reciprocal means to invert numerator and denominator, and we get $$\frac{y}{xy-x}$$.

Re: Which of the following equals   [#permalink] 29 Sep 2017, 07:43
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