Express the given pure recurring decimal numbers in fractions.

$0.5,0.45,0.53,0.12,0.512$

Convert the mix recurring decimal numbers to fraction.

$1.2\stackrel{.}{3}$

Convert the mix recurring decimal numbers to fractions.

$3.37\stackrel{.}{8}$

Convert the following mixed recurring decimal numbers to fractions: $0.2\dot{7}, 0.0\dot{8}\dot{1}, 2.8\dot{2}, 0.2\dot{7}\dot{2}$ and $3.4\dot{3}\dot{2}$