Question

Evaluate 10 1/5 divided by 8 1/2 please show figures and work

Answer 1

`\bf \stackrel{mixed}{10(1)/(5)}\implies \cfrac{10\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{51}{5}}~\hfill \stackrel{mixed}{8(1)/(2)}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{51}{5}/ \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(1)/(5)`