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Re: 1/(1 + 1/(2 + 1/3)) [#permalink]
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: 1/(1 + 1/(2 + 1/3)) [#permalink]
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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: 1/(1 + 1/(2 + 1/3)) [#permalink]
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Re: 1/(1 + 1/(2 + 1/3)) [#permalink]
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