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-\frac{5}{12}+\frac{7}{12}
The opposite of -\frac{7}{12} is \frac{7}{12}.
\frac{-5+7}{12}
Since -\frac{5}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.
\frac{2}{12}
Add -5 and 7 to get 2.
\frac{1}{6}
Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.