[tex]0,(5) = \frac{5}{9} \\\\0,(3) = \frac{3}{9} \\\\\frac{5}{9} * 100: \frac{3}{9} = \frac{1}{9} * 20 * \frac{9}{3} = \frac{1}{1} * 20 * \frac{1}{3} = \frac{20}{3}[/tex]
