Решим по действиям:
1. $$4\frac{2}{11}-1\frac{6}{11} = \frac{46}{11} - \frac{17}{11} = \frac{29}{11}$$
2. $$\frac{29}{11} + 7\frac{4}{11} = \frac{29}{11} + \frac{81}{11} = \frac{110}{11} = 10$$
3. $$\frac{9}{11} + 3\frac{7}{11} = \frac{9}{11} + \frac{40}{11} = \frac{49}{11}$$
4. $$10 - \frac{49}{11} = \frac{110}{11} - \frac{49}{11} = \frac{61}{11} = 5\frac{6}{11}$$
Ответ: $$5\frac{6}{11}$$