Question

What is 0.03 (with the 3 repeating)/0.03 (with both the 0 and the 3 repeating) Express your answer as a mixed number.

Answer 1

`0.0\overline{3}=(1)/(30)\\0.\overline{03}=(1)/(33)\\\\\frac{0.0\overline{3}}{0.\overline{03}}=((1)/(30))/((1)/(33))=(1)/(30)\cdot33=(11)/(10)=1(1)/(10)`