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\frac{-\frac{14}{6}+\frac{9}{6}}{2-1}
Least common multiple of 3 and 2 is 6. Convert -\frac{7}{3} and \frac{3}{2} to fractions with denominator 6.
\frac{\frac{-14+9}{6}}{2-1}
Since -\frac{14}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.
\frac{-\frac{5}{6}}{2-1}
Add -14 and 9 to get -5.
\frac{-\frac{5}{6}}{1}
Subtract 1 from 2 to get 1.
-\frac{5}{6}
Anything divided by one gives itself.