$${\text{999}}\frac{{998}}{{999}} \times 999$$   is equal to :

A. 998999

B. 999899

C. 989999

D. 999989

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \Rightarrow {\text{999}}\frac{{998}}{{999}} \times 999 \cr & \Rightarrow \left( {999 + \frac{{998}}{{999}}} \right) \times 999 \cr & \Rightarrow \left[ {\left( {1000 - 1} \right) + \frac{{998}}{{999}}} \right] \times 999 \cr & \Rightarrow 999000 - 999 + 998 \cr & \Rightarrow 998999 \cr} $$