The value of $ 0 . \overline{23}+0 . \overline{22} $ is
(a) $ 0 . \overline{45} $
(b) $ 0 . \overline{43} $
(c) $ 0 . \overline{45} $
(d) 0.45
Given:
\( 0 . \overline{23}+0 . \overline{22} \)
To do:
We have to find the value of \( 0 . \overline{23}+0 . \overline{22} \).
Solution:
$0 . \overline{23}=0.23232323......$
$0 . \overline{22}=0.22222222......$
Therefore,
$0 . \overline{23}+0 . \overline{22}=0.23232323......+0.22222222......$
$=0.45454545......$
$=0. \overline{45}$.
Option C is the correct answer.
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