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-\frac{3}{2}-\frac{-3}{6}
Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.
-\frac{3}{2}-\left(-\frac{1}{2}\right)
Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.
-\frac{3}{2}+\frac{1}{2}
The opposite of -\frac{1}{2} is \frac{1}{2}.
\frac{-3+1}{2}
Since -\frac{3}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{-2}{2}
Add -3 and 1 to get -2.
-1
Divide -2 by 2 to get -1.