2002 AMC 12A Problem 20

Suppose that a and b are digits, not both nine and not both zero, and the repeating decimal 0.\overline{ab} is expressed as a fraction in lowest terms. How many different denominators are possible?

\text{(A) }3 \qquad \text{(B) }4 \qquad \text{(C) }5 \qquad \text{(D) }8 \qquad \text{(E) }9

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