1970 AHSME Problem 10

Let F=.48181\cdots be an infinite repeating decimal with the digits 8 and 1 repeating. When F is written as a fraction in lowest terms, the denominator exceeds the numerator by

\textbf{(A) }13\qquad \textbf{(B) }14\qquad \textbf{(C) }29\qquad \textbf{(D) }57\qquad \textbf{(E) }126

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.