Ответ:

\(3\frac{3}{4}=\frac{15}{4}\), а \(1\frac{1}{12}-2\frac{4}{7}=\frac{13}{12}-\frac{18}{7}=-\frac{125}{84}\).

\(\frac{15}{4}\cdot\left(-\frac{125}{84}\right)=-\frac{625}{112}\).

Ответ: \(-\frac{625}{112}\).