What is the product of the numerator and the denominator when $0.\overline{09}$ is expressed as a fraction in lowest terms?
0.0909090909 ...
100*0.0909090909 ... = 9.09090909 ...
1 *0.0909090909 ... = 0.0909090909 ...
subract
99*0.0909090909 ...=9
0.0909090909 ...=9/99 = 1/11
