Question

4 and 2/3÷1 and 1/6 simplify the expression

Answer 1

First off, we convert the mixed fractions to "improper", and then divide.

$\bf \stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} \\\\\\ \stackrel{mixed}{1\frac{1}{6}}\implies \cfrac{1\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{7}{6}} \\\\\\ \cfrac{14}{3}\div\cfrac{7}{6}\implies \cfrac{14}{3}\cdot \cfrac{6}{7}\implies \cfrac{14}{7}\cdot \cfrac{6}{3}\implies 2\cdot 2\implies 4$