AHSME 1970 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 $\text{(A) } 13 \text{(B) } 14 \text{(C) } 29 \text{(D) } 57 \text{(E) } 126$