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6\times \frac{1}{4}-6\times \frac{1}{2}
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.
\frac{6}{4}-6\times \frac{1}{2}
Multiply 6 and \frac{1}{4} to get \frac{6}{4}.
\frac{3}{2}-6\times \frac{1}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{2}-\frac{6}{2}
Multiply 6 and \frac{1}{2} to get \frac{6}{2}.
\frac{3-6}{2}
Since \frac{3}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{3}{2}
Subtract 6 from 3 to get -3.