List \(L\) contains the \(98\) repeating decimals \(0.010101,\ldots, 0.020202,\ldots, \ldots, 0.989898,\ldots\) If each

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List \(L\) contains the \(98\) repeating decimals \(0.010101,\ldots, 0.020202,\ldots, \ldots, 0.989898,\ldots\) If each value in list \(L\) is expressed as a fraction in lowest terms, what is the sum of the denominators of all \(98\) fractions?

(A) 5,096
(B) 5,608
(C) 6,770
(D) 6,894
(E) 9,702

Answer: C

Source: Manhattan GMAT

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List \(L\) contains the \(98\) repeating decimals \(0.010101,\ldots, 0.020202,\ldots, \ldots, 0.989898,\ldots\) If each

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List \(L\) contains the \(98\) repeating decimals \(0.010101,\ldots, 0.020202,\ldots, \ldots, 0.989898,\ldots\) If each

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