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

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