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m+n/4+5=

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m+n/4+5= [#permalink] New post 18 May 2018, 07:08
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Question Stats:

90% (00:28) correct 10% (00:14) wrong based on 40 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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Re: m+n/4+5= [#permalink] New post 07 Jul 2018, 09:18
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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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Re: m+n/4+5= [#permalink] New post 11 May 2019, 06:37
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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, \(\frac{m+n}{4+5}=\frac{m}{4+5}+\frac{n}{4+5}\)

\(=\frac{m}{9}+\frac{n}{9}\)

Answer: E

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Re: m+n/4+5=   [#permalink] 11 May 2019, 06:37
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