$0. ¯ ¯¯¯¯¯¯ ¯ 585$ is equal to

\frac{585}{99}

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\frac{585}{999}

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\frac{999}{585}

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none of these

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Solution

The correct option is B $\frac{585}{999}$
$L e t x = 0. ¯ ¯¯¯¯¯¯ ¯ 585 = 0.585585585.... T h e n 1000 x = 585.585585585..... 1000 x - x = 585.585585585..... - 0.585585585.... 999 x = 585 x = \frac{585}{999}$
So correct answer will be option B

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