Rational Products
Why
We want to multiply rationals.
Definition
Let $\eqc{(a, b)}, \eqc{(b, c)} \in \Q $.
The rational product of
$\eqc{(a, b)}$ with $\eqc{(b, c)}$ is $\eqc{(ac
, bd)}$.
Notation
We denote the rational product of $q, r \in
\Q $ by $q \cdot r$.