Question

Express 1.265 ka bar in form of p upon q

Answer 1

$\textbf{Given:}$

$1.\overline{265}$

$\textbf{To find:}$

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

$\textbf{Solution:}$

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

$\implies\,x=1.265\,265\,265................$ ..........(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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