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-\frac{9}{10}+\frac{5}{10}
Least common multiple of 10 and 2 is 10. Convert -\frac{9}{10} and \frac{1}{2} to fractions with denominator 10.
\frac{-9+5}{10}
Since -\frac{9}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.
\frac{-4}{10}
Add -9 and 5 to get -4.
-\frac{2}{5}
Reduce the fraction \frac{-4}{10} to lowest terms by extracting and canceling out 2.