The rational form of $2.74 ¯ ¯¯¯¯ ¯ 35$ is

\frac{27161}{999}

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\frac{27}{99}

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\frac{27161}{9900}

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\frac{27161}{9000}

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Solution

The correct option is C $\frac{27161}{9900}$
$x = 2.74 ¯ 35 = 2.74353535..... 10 x = 27.43535....... 100 x = 274.353535..... N o w s u b t r a c t x f r o m 100 x 100 x = 274.353535.... - x = 2.74353535.... 99 x = 271.61 x = \frac{271.61}{99} = \frac{27161}{9900}$

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Similar questions

2.74 ¯ ¯¯¯¯ ¯ 35

What will come in place of question mark (?) in the following question?

$(\frac{\frac{1}{5} + [999 + (\frac{494}{495})] \times 99}{9000}) = ?$

\frac{p}{q}

9 + 99 + 999 + . . . .

n

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