Express 0.overline{27} in the frac{p}{q} form | vedclass

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(B) Let $x = 0.272727...$ (Equation $1$)Since there are two repeating digits, multiply both sides by $100$:$100x = 27.272727...$ (Equation $2$)Subtrac

Vedclass · Accepted Answer

$\frac{3}{11}$

Vedclass · Answer

(B) Let $x = 0.272727...$ (Equation $1$)Since there are two repeating digits, multiply both sides by $100$:$100x = 27.272727...$ (Equation $2$)Subtract Equation $1$ from Equation $2$:$100x - x = 27.272727... - 0.272727...$$99x = 27$$x = \frac{27}{99}$Simplify the fraction by dividing both numerator and denominator by $9$:$x = \frac{3}{11}$

Express $0.\overline{27}$ in the $\frac{p}{q}$ form.

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