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Expert's post 00:00

Question Stats: 89% (00:24) correct 10% (00:11) wrong based on 57 sessions
$$\frac{m+n}{4+5}=$$

A. $$\frac{m+n}{4} +\frac{m+n}{5}$$

B. $$\frac{m+n}{9} + \frac{m+n}{9}$$

C. $$\frac{m}{5} + \frac{n}{4}$$

D. $$\frac{m}{4} + \frac{n}{5}$$

E. $$\frac{m}{9} + \frac{n}{9}$$
[Reveal] Spoiler: OA

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. VP Joined: 20 Apr 2016
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Carcass wrote:
$$\frac{m+n}{4+5}=$$

A. $$\frac{m+n}{4} +\frac{m+n}{5}$$

B. $$\frac{m+n}{9} + \frac{m+n}{9}$$

C. $$\frac{m}{5} + \frac{n}{4}$$

D. $$\frac{m}{4} + \frac{n}{5}$$

E. $$\frac{m}{9} + \frac{n}{9}$$

Here,

$$\frac{m+n}{4+5} = \frac{m+n}{9} = \frac{m}{9} + \frac{n}{9}$$
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Expert's post
Carcass wrote:
$$\frac{m+n}{4+5}=$$

A. $$\frac{m+n}{4} +\frac{m+n}{5}$$

B. $$\frac{m+n}{9} + \frac{m+n}{9}$$

C. $$\frac{m}{5} + \frac{n}{4}$$

D. $$\frac{m}{4} + \frac{n}{5}$$

E. $$\frac{m}{9} + \frac{n}{9}$$

Nice (and often-tested) property: $$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$$

So, $$\frac{m+n}{4+5}=\frac{m}{4+5}+\frac{n}{4+5}$$

$$=\frac{m}{9}+\frac{n}{9}$$

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If you enjoy my solutions, you'll like my GRE prep course.  Re: m+n/4+5=   [#permalink] 11 May 2019, 06:37
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