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1/(1 + 1/(2 + 1/3))

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1/(1 + 1/(2 + 1/3))  [#permalink]

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New post Updated on: 25 May 2017, 15:33
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:34) correct 11% (00:35) wrong based on 123 sessions

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Originally posted by carcass on 25 May 2017, 14:57.
Last edited by Bunuel on 25 May 2017, 15:33, edited 1 time in total.
Renamed the topic and edited the question.
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Re: 1/(1 + 1/(2 + 1/3))  [#permalink]

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New post 25 May 2017, 15:12
Answer is [B] 7/10

Calculations in the attached image.
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Re: 1/(1 + 1/(2 + 1/3))  [#permalink]

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New post 25 May 2017, 15:34
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Re: 1/(1 + 1/(2 + 1/3))  [#permalink]

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New post 25 May 2017, 22:56
2 + 1/3 = 7/3. And 1/(7/3) = 3/7
Now, 1 + 3/7 = 10/7 and 1/(10/7) = 7/10

Hence B answer
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Re: Quantitative :: Problem solving:: 14017  [#permalink]

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New post 16 Nov 2019, 13:59
brandonag12 wrote:
\(\frac{1}{1+\frac{1}{2+\frac{1}{3}}\)

A. \(\frac{3}{10}\)
B. \(\frac{7}{10}\)
C. \(\frac{6}{7}\)
D. \(\frac{10}{7}\)
E. \(\frac{10}{3}\)

Quantitative :: Problem solving:: 14017


Multiply the top and bottom of \(\frac{1}{2+\frac{1}{3}}\) by 3 to get an easier start (and it does not change the value of the fraction so this is valid).

We get \(\frac{1}{1+\frac{3}{7}}\), we can repeat the same process and multiply top and bottom by 7 to get 7 / (7+3) = 7/10.

Ans: B
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Re: Quantitative :: Problem solving:: 14017   [#permalink] 16 Nov 2019, 13:59
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