The value of $0 . ¯ ¯¯ ¯ 23 + 0 . ¯ ¯¯ ¯ 22$ is

0 . ¯ ¯¯ ¯ 43

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0.4 ¯ 5

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0 . ¯ ¯¯ ¯ 45

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0.45

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Solution

The correct option is C $0 . ¯ ¯¯ ¯ 45$
$0 . ¯ ¯¯ ¯ 23 + 0 . ¯ ¯¯ ¯ 22$
$\Rightarrow 0.232323 \dots + 0.222222 \dots$
$= 0.454545 \dots$
$= 0 . ¯ ¯¯ ¯ 45$

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