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# Evaluate the fraction

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 [0], given: 397

Evaluate the fraction [#permalink]  18 Dec 2016, 15:47
Expert's post
00:00

Question Stats:

88% (00:32) correct 11% (00:56) wrong based on 9 sessions
If $$mn \neq 0$$, $$\frac{2+m}{mn}$$ is equal to

A. $$\frac{2}{m}+\frac{2}{mn}$$
B. $$2+\frac{m}{mn}$$
C. $$\frac{2}{mn}+n$$
D. $$\frac{2}{mn}+\frac{1}{m}$$
E. $$\frac{2}{mn}+\frac{1}{n}$$

Drill 1
Question: 14
Page: 313
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 [0], given: 397

Re: Evaluate the fraction [#permalink]  18 Dec 2016, 16:02
Expert's post
Explanation

Plug In for the variables. Let m = 3 and n = 5, and $$\frac{2+3}{3 *5}= \frac{5}{15}=\frac{1}{3}$$.

Hence option E is correct.

Alternatively, you could manipulate the fractions: $$\frac{2+m}{mn}=\frac{2}{mn}+\frac{m}{mn}= \frac{2}{mn}+\frac{1}{n}$$.
_________________

Sandy
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Re: Evaluate the fraction   [#permalink] 18 Dec 2016, 16:02
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