\( -1\frac{2}{3} : \frac{5}{3} - 9\frac{4}{5} : 7\frac{1}{11} = -\frac{5}{3} : \frac{5}{3} - \frac{49}{5} : \frac{78}{11} \)
\( = -1 - \frac{49}{5} \cdot \frac{11}{78} = -1 - \frac{49 \cdot 11}{5 \cdot 78} \)
\( = -1 - \frac{539}{390} = -1 - 1\frac{149}{390} = -2\frac{149}{390} \)
Ответ: -2\(\frac{149}{390}\).