0.232323 is also written in the form of? - IQ786

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0.232323 is also written in the form of?

0.232323 is also written in the form of?

1/5

23/99

23/100

None of these

Explanation

$0.232323 . . . . = 0 . \overline{23}$
Let $x = 0 . \overline{23}$ ---- ( 1 )
Multiplying both sides by $100$ we get,
$\Rightarrow$    $100 x = 23 . \overline{23}$ ---- ( 2 )
Subtracting ( 1 ) from ( 2 ) we get,
$\Rightarrow$    $100 x - x = 23 . \overline{23} - 0 . \overline{23}$
$\Rightarrow$    $99 x = 23$
$∴$    $x = \frac{2 3}{9 9}$
$∴$ Required fraction is $\frac{2 3}{9 9} .$