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-\frac{4}{6}-\frac{5}{6}
Least common multiple of 3 and 6 is 6. Convert -\frac{2}{3} and \frac{5}{6} to fractions with denominator 6.
\frac{-4-5}{6}
Since -\frac{4}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{-9}{6}
Subtract 5 from -4 to get -9.
-\frac{3}{2}
Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.