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Bunuel
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1/(3-1/(3-1/(3-1)))= [#permalink] New post  24 Jan 2014, 03:01
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A
B
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E

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5% (low)

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93% (01:06) correct 7% (01:41) wrong based on 1068 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{1}{3-\frac{1}{3-\frac{1}{3-1}}}=\)

(A) 7/23
(B) 5/13
(C) 2/3
(D) 23/7
(E) 13/5

Problem Solving
Question: 60
Category: Arithmetic Operations with rational numbers
Page: 69
Difficulty: 600


ID: PS03777
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Bunuel
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Re: 1/(3-1/(3-1/(3-1)))= [#permalink] New post  24 Jan 2014, 03:01
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SOLUTION

\(\frac{1}{3-\frac{1}{3-\frac{1}{3-1}}}=\)

(A) 7/23
(B) 5/13
(C) 2/3
(D) 23/7
(E) 13/5

\(\frac{1}{3-\frac{1}{3-\frac{1}{3-1}}}=\frac{1}{3-\frac{1}{3-\frac{1}{2}}}=\frac{1}{3-\frac{2}{5}}=\frac{5}{13}\).

Answer: B.
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Re: 1/(3-1/(3-1/(3-1)))= [#permalink] New post  24 Jan 2014, 04:40
3
3 - 1/2 = 5/2
3 - 2/5 = 13/5

We flip it one more time to 5/13. So (B)?
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Re: 1/(3-1/(3-1/(3-1)))= [#permalink] New post  14 Aug 2017, 14:23
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{1}{3-\frac{1}{3-\frac{1}{3-1}}}=\)

(A) 7/23
(B) 5/13
(C) 2/3
(D) 23/7
(E) 13/5


We can simplify the given fraction:

1/[3 - (1/(3 - 1/2)]

1/[3 - (1/(6/2 - 1/2)]

1/[3 - 1/(5/2)]

1/[3 - 2/5]

1/[15/5 - 2/5]

1/[13/5] = 5/13

Answer: B
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