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# If a > 0, b > 0 , and c > 0 ,

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If a > 0, b > 0 , and c > 0 , [#permalink]  27 Jul 2018, 09:14
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Question Stats:

91% (00:56) correct 8% (01:44) wrong based on 37 sessions
If $$a > 0$$, $$b > 0$$ , and $$c > 0$$ , a + $$\frac{1}{b + \frac{1}{c}}$$ =

A. $$\frac{a + b}{c}$$

B. $$\frac{ac + bc + 1}{c}$$

C. $$\frac{abc + b + c}{bc}$$

D. $$\frac{a + b + c}{abc + 1}$$

E. $$\frac{abc + a + c}{bc + 1}$$

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: If a > 0, b > 0 , and c > 0 , [#permalink]  27 Jul 2018, 10:02
Carcass wrote:
If $$a > 0$$, $$b > 0$$ , and $$c > 0$$ , a + $$\frac{1}{b + \frac{1}{c}}$$ =

A. $$\frac{a + b}{c}$$

B. $$\frac{ac + bc + 1}{c}$$

C. $$\frac{abc + b + c}{bc}$$

D. $$\frac{a + b + c}{abc + 1}$$

E. $$\frac{abc + a + c}{bc + 1}$$

Kudos for R.A.E

a + $$\frac{1}{b + \frac{1}{c}} = a + \frac{c}{{bc + 1}} = \frac{abc + a + c}{{bc + 1}}$$

Hence option E
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Re: If a > 0, b > 0 , and c > 0 ,   [#permalink] 27 Jul 2018, 10:02
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