What is (0.030303...)/(0.003003003003...)? Express your answer as a mixed number.
.030303..... = (3 - 0) / (99) = 3/99 = 1/33
.003003..... = (3 - 0) / ( 999) = 3/999 = 1/333
(1/33) / ( 1/333) =
333 / 33 = 111 / 11 = 10 + 1/11
this simplifies to 1/33/1/333
divide to get 333/33 = 10 3/33 = 10 1/11