The value of the decimal 3.23¯¯¯¯¯¯¯¯574 in fraction is equal to
A
32325199900
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B
323574100000
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C
32357499999
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D
32325199999
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Solution
The correct option is A32325199900 Let x=3.23¯¯¯¯¯¯¯¯574 ⇒100x=323.¯¯¯¯¯¯¯¯574...(1) ⇒100000x=323574.¯¯¯¯¯¯¯¯574...(2) Subtracting eqn (1) from (2) 100000x−100x=323574.¯¯¯¯¯¯¯¯574−323.¯¯¯¯¯¯¯¯574 ⇒99900x=323251 ⇒x=32325199900