$$999\frac{{98}}{{99}} \times 99$$ is equal to :

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Question

$$999\frac{{98}}{{99}} \times 99$$ is equal to :

Options:

A . 98999

B . 99899

C . 99989

D . 99998

Answer: Option A
$$\eqalign{
& = 999\frac{{98}}{{99}} \times 99 \cr
& = (1000 - 1)\frac{{98}}{{99}} \times 99 \cr
& = \left[ {\left( {1000 - 1} \right) + \frac{{98}}{{99}}} \right] \times 99 \cr
& = 99000 - 99 + 98 \cr
& = 99000 - 1 \cr
& = 98999 \cr} $$

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