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-\frac{8}{12}+\frac{21}{12}
Least common multiple of 3 and 4 is 12. Convert -\frac{2}{3} and \frac{7}{4} to fractions with denominator 12.
\frac{-8+21}{12}
Since -\frac{8}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.
\frac{13}{12}
Add -8 and 21 to get 13.