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-\frac{12}{13}+\frac{3}{13}
The opposite of -\frac{3}{13} is \frac{3}{13}.
\frac{-12+3}{13}
Since -\frac{12}{13} and \frac{3}{13} have the same denominator, add them by adding their numerators.
-\frac{9}{13}
Add -12 and 3 to get -9.