Ответ:

\(1\frac{2}{9}=\frac{11}{9}\), \(3\frac{3}{4}=\frac{15}{4}\).

\(\frac{11}{9}\cdot\frac{15}{4}=\frac{55}{12}=4\frac{7}{12}\).

Ответ: 4 7/12.