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# If z ≠ 0 and yz ≠ 1, then 1/(y − 1/z) =

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Math Expert
Joined: 02 Sep 2009
Posts: 58454
If z ≠ 0 and yz ≠ 1, then 1/(y − 1/z) =  [#permalink]

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Updated on: 07 Jul 2019, 00:04
00:00

Difficulty:

15% (low)

Question Stats:

100% (00:44) correct 0% (00:00) wrong based on 22 sessions

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If z ≠ 0 and yz ≠ 1, then $$\frac{1}{y − \frac{1}{z}} =$$

(A) yz/(zy − 1)

(B) (y − z)/z

(C) (yz − z)/(z −1)

(D) z/(zy − 1)

(E) (y − z)/(zy − 1)

Source: Nova GMAT
Difficulty Level: 550

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Originally posted by Bunuel on 09 Apr 2019, 03:54.
Last edited by SajjadAhmad on 07 Jul 2019, 00:04, edited 1 time in total.
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Re: If z ≠ 0 and yz ≠ 1, then 1/(y − 1/z) =  [#permalink]

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09 Apr 2019, 04:36
$$\frac{1}{\frac{yz-1}{z}}$$

$$\frac{z}{zy-1}$$

OPTION: D
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Re: If z ≠ 0 and yz ≠ 1, then 1/(y − 1/z) =   [#permalink] 09 Apr 2019, 04:36
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