When 0.232323 ldots is converted into a fract | vedclass

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Question

(C) Let $x = 0.232323 \ldots$ (Equation $1$)Since there are two repeating digits,multiply both sides by $100$:$100x = 23.232323 \ldots$ (Equation $2$)

Vedclass · Accepted Answer

$\frac{23}{99}$

Vedclass · Answer

(C) Let $x = 0.232323 \ldots$ (Equation $1$)Since there are two repeating digits,multiply both sides by $100$:$100x = 23.232323 \ldots$ (Equation $2$)Subtract Equation $1$ from Equation $2$:$100x - x = 23.232323 \ldots - 0.232323 \ldots$$99x = 23$$x = \frac{23}{99}$Thus,$0.232323 \ldots = 0.\overline{23} = \frac{23}{99}$.

When $0.232323 \ldots$ is converted into a fraction,then the result is

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