[tex]a)0.(11) = \frac{11}{99} [/tex]
[tex]1.(23) = \frac{123 - 1}{99} = \frac{122}{99} [/tex]
[tex]2.(45) = \frac{245 - 2}{99} = \frac{243}{99} = \frac{81}{33} = \frac{27}{11} [/tex]
[tex]11.(243) = \frac{11243 - 11}{999} = \frac{11232}{999} = \frac{3744}{333} = \frac{1248}{111} = \frac{416}{37} [/tex]
[tex]b)5.(6) = \frac{56 - 5}{9} = \frac{51}{9} = \frac{17}{3} [/tex]
[tex]0.(30) = \frac{30}{99} = \frac{10}{33} [/tex]
[tex]12.(036) = \frac{12036 - 12}{999} = \frac{12024}{999} = \frac{4008}{333} = \frac{1336}{111} [/tex]
[tex]11.(423) = \frac{11423 - 11}{999} = \frac{11412}{999} = \frac{3804}{333} = \frac{1268}{111} [/tex]