Recurring Decimals by Boxed Rockets

0. \dot{2}

\frac{2}{9}

0. \dot{5} \dot{2}

\frac{52}{99}

0. \dot{4} 4 \dot{7}

\frac{447}{999} = \frac{149}{333}

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

\frac{44}{990} = \frac{2}{45}

0. 3 \dot{8}

\frac{35}{90} = \frac{7}{18}

0. 9 \dot{9} \dot{8}

\frac{989}{990}