Question

What is the quotient of 2 and 1 over 3 divided by 3 over 5

Answer 1

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

`\stackrel{mixed}{2(1)/(3)}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}/ \cfrac{3}{5}\implies \cfrac{7}{3}\cdot \cfrac{5}{3}\implies \cfrac{35}{9}\implies {\Large \begin{array}{llll} 3(8)/(9) \end{array}}`