Dilip and Bridget are playing with numbers. Dilip first picks a positive integer $x$ and finds $D$, the sum of its digits. Then, Bridget computes $B$, the sum of the digits of $2x$. What is the maximum possible value of $\frac{D}{B}$?
$\bf{Bonus:}$ Is $\frac{B}{D}$ bounded? If so, what is its maximum possible value?