Question

Express 4.26(bar on 26) in rational number

Answer 1

$\textbf{Given:}$

$\text{Number is 4.26262626....... }$

$\textbf{To find:}$

$\text{ \frac{p}{q} form of the given number}$

$\textbf{Solution:}$

$\text{Let}\,x=4.262626..........$....(1)

$\text{Multiply bothsides by 100, we get}$

$100\,x=426.262626..........$....(2)

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

$100\,x-x=422$

$99\,x=422$

$\implies\bf\,x=\dfrac{422}{99}$

$\textbf{Answer:}$

$\boxed{\textbf{ \frac{p}{q} form of the given number is \bf\dfrac{422}{99} }}$

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