Recurring Decimals by Boxed Rockets

0. \dot{2}

\frac{2}{9}

0. \dot{0} \dot{2}

\frac{2}{99}

0. \dot{1} 9 \dot{0}

\frac{190}{999}

0. 0 \dot{5} \dot{4}

\frac{54}{990} = \frac{3}{55}

0. 3 \dot{5}

\frac{32}{90} = \frac{16}{45}

0. 3 \dot{9} \dot{1}

\frac{388}{990} = \frac{194}{495}