## Thinking Mathematically (6th Edition)

The quotient of two rational numbers of the form $\frac{a}{b}$and $\frac{c}{d}$ can be written as a product of one rational number with the reciprocal of another. This can be shown as follows: $\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$ The quotient of the two rational numbers thus gives, \begin{align} & \frac{5}{6}\div \frac{1}{2}=\frac{5}{6}\times \frac{2}{1} \\ & =\frac{5}{3} \end{align}