Question

solve 0.435 bar on 435​

Answer 1

$\sf{Question : }$

To solve :

$\sf{ 0.\overline{435}}$

$\sf{Solution: }$

Let x = 0.435435435... ••••1

$\texttt{[Multiplying both sides by 1000]}$

100x = 435.435435435... ••••2

$\texttt{[Subtracting equation 1 from 2]}$

100x - x = 435.435435... - 0.435435...

99x = 435

$\sf{ x = \frac{435}{99} = \frac{145}{33}}$