[tex]\bf \stackrel{mixed}{10\frac{1}{5}}\implies \cfrac{10\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{51}{5}}~\hfill \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{51}{5}\div \cfrac{17}{2}\implies \cfrac{\stackrel{3}{~~\begin{matrix} 51 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot \cfrac{2}{~~\begin{matrix} 17 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{6}{5}\implies 1\frac{1}{5}[/tex]
