Question

What is the value of 8 2/3 divided by 3 1/4

Answer 1

let's firstly convert the mixed fractions to improper fractions and then divide.

`\stackrel{mixed}{8(2)/(3)}\implies \cfrac{8\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{26}{3}}~\hfill \stackrel{mixed}{3(1)/(4)} \implies \cfrac{3\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{26}{3}/ \cfrac{13}{4}\implies \cfrac{26}{3}* \cfrac{4}{13}\implies \cfrac{26}{13}* \cfrac{4}{3}\implies 2* \cfrac{4}{3}\implies \cfrac{8}{3}\implies {\Large \begin{array}{llll} 2(2)/(3) \end{array}}`