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\frac{3}{2}-\frac{3\times 3}{2}+2
Express 3\times \frac{3}{2} as a single fraction.
\frac{3}{2}-\frac{9}{2}+2
Multiply 3 and 3 to get 9.
\frac{3-9}{2}+2
Since \frac{3}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{-6}{2}+2
Subtract 9 from 3 to get -6.
-3+2
Divide -6 by 2 to get -3.
-1
Add -3 and 2 to get -1.