\begin{definition}[Definition:Division/Rational Numbers]
Let $\struct {\Q, +, \times}$ be the field of rational numbers.
The operation of '''division''' is defined on $\Q$ as:
:$\forall a, b \in \Q \setminus \set 0: a / b := a \times b^{-1}$
where $b^{-1}$ is the multiplicative inverse of $b$ in $\Q$.
\end{definition}