Question

The rational representation of 0.358358358------is​

Answer 1

$\textbf{Given:}$

$0.358358358......$

$\textbf{To find:}$

$\text{Rational representation of the given non terminating recurring decimal number}$

$\text{Let}\;x=0.358358358......$......(1)

$\text{Multiply both sides by 1000, we get}$

$1000x=358.358358358......$......(2)

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

$1000x-x=358$

$999x=358$

$\implies\bf\,x=\dfrac{358}{999}$

$\therefore\textbf{The rational representation of 0.358358......is \bf\dfrac{358}{999} }$

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