Question

Express 1.2727 in the form p by q where
pand q, are integers​

Answer 1

$\underline{ \huge\bf\red{QuestiØn} :}$

$\\ \sf Express \: 1.2727....... \: (i.e.: 1. \overline{27}) \\ \sf in \: the \: form \: of \: \frac{p}{q} \: where \\ \sf p \: and \: q \: are \: integers \: and \: q \neq0.$

$\underline{ \: \huge\bf\green{SolutiØn} \: :}$

${\sf{let}} \: x = 1. \overline{27} - - - - - - - - (i)$

$\therefore 100x = 127. \overline{27} \: - - - - - - (ii)$

On subtracting (i) from (ii) , we get :—

$\begin{aligned} \\ & \qquad \ \ \ 100x - x = 127. \overline{27} - 1. \overline{27} \\ \\ & \implies99x = 126 \\ \\ & \implies x = \frac{ \cancel{126} \ {}^{14} }{ \cancel{99} \ _{11}} \\ \\ & \implies \boxed{ x = \frac{14}{11} } & & & & & & \end{aligned}$

$\large \mathbb{\bold{Hence} \ ,} \\ \\ \underline{\boxed{ 1.2727....... = \frac{14}{11} }}$

$\red{\rule{5.8cm}{0.02cm}}$

$\mid \underline{\underline{\LARGE\bf\green{Brainliest \: Answer}}}\mid$

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