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-\frac{3}{2}+\frac{9}{10}+2
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.
-\frac{15}{10}+\frac{9}{10}+2
Least common multiple of 2 and 10 is 10. Convert -\frac{3}{2} and \frac{9}{10} to fractions with denominator 10.
\frac{-15+9}{10}+2
Since -\frac{15}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.
\frac{-6}{10}+2
Add -15 and 9 to get -6.
-\frac{3}{5}+2
Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.
-\frac{3}{5}+\frac{10}{5}
Convert 2 to fraction \frac{10}{5}.
\frac{-3+10}{5}
Since -\frac{3}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.
\frac{7}{5}
Add -3 and 10 to get 7.