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-\frac{2}{6}-\frac{9}{6}
Least common multiple of 3 and 2 is 6. Convert -\frac{1}{3} and \frac{3}{2} to fractions with denominator 6.
\frac{-2-9}{6}
Since -\frac{2}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.
-\frac{11}{6}
Subtract 9 from -2 to get -11.