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\frac{3}{2}-\frac{1}{3}\times 12
Anything divided by one gives itself.
\frac{3}{2}-\frac{12}{3}
Multiply \frac{1}{3} and 12 to get \frac{12}{3}.
\frac{3}{2}-4
Divide 12 by 3 to get 4.
\frac{3}{2}-\frac{8}{2}
Convert 4 to fraction \frac{8}{2}.
\frac{3-8}{2}
Since \frac{3}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{5}{2}
Subtract 8 from 3 to get -5.