$$\frac{5}{6} \cdot 1 \frac{7}{11} \cdot 4,4 = \frac{5}{6} \cdot \frac{1 \cdot 11 + 7}{11} \cdot \frac{44}{10} = \frac{5}{6} \cdot \frac{11 + 7}{11} \cdot \frac{22}{5} = \frac{5}{6} \cdot \frac{18}{11} \cdot \frac{22}{5} = \frac{18 \cdot 22}{6 \cdot 11} = \frac{3 \cdot 2}{1 \cdot 1} = 6 $$
Ответ: 6