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-\frac{3}{4}+\frac{2}{3}
The opposite of -\frac{2}{3} is \frac{2}{3}.
-\frac{9}{12}+\frac{8}{12}
Least common multiple of 4 and 3 is 12. Convert -\frac{3}{4} and \frac{2}{3} to fractions with denominator 12.
\frac{-9+8}{12}
Since -\frac{9}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.
-\frac{1}{12}
Add -9 and 8 to get -1.