Question

Determain the quotient of 1 2/3 divided by 4/5

Answer 1

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

$\bf \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\div \cfrac{4}{5}\implies \cfrac{5}{3}\cdot \cfrac{5}{4}\implies \cfrac{25}{12}\implies 2\frac{1}{12}$