Answer
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,
\[\begin{align}
& \frac{5}{6}\div \frac{1}{2}=\frac{5}{6}\times \frac{2}{1} \\
& =\frac{5}{3}
\end{align}\]