[tex]\frac{122}{11}=\frac{121+1}{11}=\frac{121}{11}+\frac{1}{11}=11+\frac{1}{11}=11.090909...=11.\overline{09}=11.(09)\\\\\underline{0.090909...}\\1:11\\\underline{0}\\10\\\underline{.\ 0}\\100\\\underline{.\ 99}\\.\ \ 10\\\underline{.\ \ \ 0}\\.\ \ 100\\\underline{.\ \ \ \ 99}\\.\ \ \ \ \ \ 1[/tex]
