$$\frac{5}{6} \cdot 1\frac{7}{11} \cdot 4,4 = \frac{5}{6} \cdot \frac{18}{11} \cdot \frac{44}{10} = \frac{5}{1} \cdot \frac{3}{11} \cdot \frac{44}{10} = \frac{1}{1} \cdot \frac{3}{1} \cdot \frac{4}{2} = \frac{12}{2} = 6$$
Ответ: $$6$$