Решим уравнение:
$$m - \frac{2}{11}m = 9,9$$
$$m(1 - \frac{2}{11}) = 9,9$$
$$m(\frac{11}{11} - \frac{2}{11}) = 9,9$$
$$\frac{9}{11}m = 9,9$$
$$m = 9,9 : \frac{9}{11}$$
$$m = \frac{99}{10} \cdot \frac{11}{9} = \frac{11}{10} \cdot 11 = \frac{121}{10} = 12,1$$
Ответ: 12,1