What is \(\frac{0.\overline{03}}{0.0\overline3}\)? Express your answer as a mixed number.
.030303 = 3/99
.033333= 1/30 can you take it from here??
we know that \(0.\overline{03}=3/99\) and \(0.0\overline{3}=1/30\) so we have the equation \(\dfrac{3/99}{1/30}=\dfrac{30}{99/3}=\dfrac{30}{33}=\dfrac{10}{11}\)so our final answer is \(\Huge{\boxed{\boxed{\boxed{\boxed{\dfrac{10}{11}}}}}}\)