Question

A jewelry salesperson earns 6 3/7​% commission on all sales. Today sold ​$4570 in jewelry. What is total commission​ earned?

Answer 1

`\stackrel{mixed}{6(3)/(7)}\implies \cfrac{6\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{45}{7}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}c \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{(45)/(7)\textit{\% of 4570}}{\left( \cfrac{~~(45)/(7)~~}{100} \right)4570}\implies \left( \cfrac{45}{700} \right)4570~~ \approx~~293.79`