Recurring Decimals by Boxed Rockets

0. \dot{6}

\frac{6}{9} = \frac{2}{3}

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

\frac{5}{99}

0. \dot{0} 2 \dot{4}

\frac{24}{999} = \frac{8}{333}

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

\frac{50}{990} = \frac{5}{99}

0. 4 \dot{8}

\frac{44}{90} = \frac{22}{45}

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

\frac{403}{990}