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-\frac{9}{12}+\frac{16}{12}
Least common multiple of 4 and 3 is 12. Convert -\frac{3}{4} and \frac{4}{3} to fractions with denominator 12.
\frac{-9+16}{12}
Since -\frac{9}{12} and \frac{16}{12} have the same denominator, add them by adding their numerators.
\frac{7}{12}
Add -9 and 16 to get 7.