Express the infinite decimal .212121 as a common fraction.

\frac{21}{100}

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\frac{23}{99}

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\frac{7}{100}

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\frac{7}{99}

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\frac{7}{33}

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Solution

The correct option is E $\frac{7}{33}$
$L e t x = 0.212121... 100 x = 21.212121.... 100 x - x = 21 99 x = 21 x = \frac{21}{99} = \frac{7}{33}$
So correct answer will be option E

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