$$\left( {8.3\overline 1 + 0.\overline 6 + 0.00\overline 2 } \right)$$    is equal to :

Solution (By Examveda Team)

$$\eqalign{ & \left( {8.3\bar 1 + 0.\bar 6 + 0.00\bar 2} \right) \cr & = 8 + \frac{{31 - 3}}{{90}} + \frac{6}{9} + \frac{2}{{900}} \cr & = \frac{{7200 + 280 + 600 + 2}}{{900}} \cr & = \frac{{8082}}{{900}} \cr & = 8\frac{{882}}{{900}} \cr & = 8 + \frac{{979 - 97}}{{900}} \cr & = 8.97\bar 9 \cr} $$