Find the value of $0 . ¯ ¯¯¯¯ ¯ 13 + 0 . ¯ ¯¯¯¯ ¯ 12$ .

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Solution

We know, the addition of the repeated decimals does not affect the previous decimal point in a decimal expansion.
Therefore, $0. ¯ ¯¯¯¯ ¯ 13 + 0. ¯ ¯¯¯¯ ¯ 12 = 0. ¯ ¯¯¯¯ ¯ 25$ , is the required solution.

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