Recurring Decimals by Boxed Rockets

0. \dot{7}

\frac{7}{9}

0. \dot{2} \dot{7}

\frac{27}{99} = \frac{3}{11}

0. \dot{2} 8 \dot{9}

\frac{289}{999}

0. 0 \dot{0} \dot{6}

\frac{6}{990} = \frac{1}{165}

0. 8 \dot{3}

\frac{75}{90} = \frac{5}{6}

0. 9 \dot{0} \dot{6}

\frac{897}{990} = \frac{299}{330}