Math, asked by drrdsharma5602, 8 months ago

Express 1.265 ka bar in form of p upon q

Answers

Answered by MaheswariS
0

\textbf{Given:}

1.\overline{265}

\textbf{To find:}

\text{$\dfrac{p}{q}$ form of $1.\overline{265}$}

\textbf{Solution:}

\text{Let}\;x=1.\overline{265}

\implies\,x=1.265\,265\,265................ ..........(1)

\text{Multiply bothsides of (1) by 1000}

1000\,x=1265.265\,265\,265................ ..........(2)

\text{Subtract (1) from (2), we get}

1000\,x-x=1264

999\,x=1264

\implies\bf\,x=\dfrac{1264}{999}

\textbf{Answer:}

\textbf{$\bf\dfrac{p}{q}$ form of $\bf\,1.\overline{265}$ is $\bf\dfrac{1264}{999}$}

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