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-\frac{1}{2}-\frac{1}{3}
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
-\frac{3}{6}-\frac{2}{6}
Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{1}{3} to fractions with denominator 6.
\frac{-3-2}{6}
Since -\frac{3}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.
-\frac{5}{6}
Subtract 2 from -3 to get -5.