The operation $\dagger$ is defined as $\frac{m}{n}\dagger\frac{p}{q} = (m)(p)(\frac{q}{n}).$ What is the simplified value of $\frac{7}{12}\dagger\frac{8}{3}$?
We obtain $\frac{7}{12} \dagger \frac{8}{3} = (7)(8)(\frac{3}{12}) = \boxed{14}$