1 . overline{27} in the form frac{p}{q} is eq | vedclass

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(C) Let $x = 1 . \overline{27} = 1.272727...$ (Equation $1$)Multiply both sides by $100$ since two digits are repeating:$100x = 127.272727...$ (Equati

Vedclass · Accepted Answer

$\frac{14}{11}$

Vedclass · Answer

(C) Let $x = 1 . \overline{27} = 1.272727...$ (Equation $1$)Multiply both sides by $100$ since two digits are repeating:$100x = 127.272727...$ (Equation $2$)Subtract Equation $1$ from Equation $2$:$100x - x = 127.272727... - 1.272727...$$99x = 126$$x = \frac{126}{99}$Divide both numerator and denominator by $9$:$x = \frac{14}{11}$

$1 . \overline{27}$ in the form $\frac{p}{q}$ is equal to

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