What is $\frac{0.\overline{72}}{0.\overline{33}}$? Express your answer as a common fraction in lowest terms.
0.33333... is 1/3
0.72727272... /(1/3) = 0.727272727.....*3
100*0.72727272... = 72.72727272....
1* 0.72727272... = 0.7272727....
subtract
99*0.727272727 = 72
0.72727272.... = 72/99 = 8/11
8/11 *3 = 24/11 = 2 and 3/11
