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Sub 505 Level|   Arithmetic|   Fractions and Ratios|                        
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Bunuel
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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