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\frac{\frac{2}{4}-\frac{3}{4}-\frac{1}{12}}{\left(-\frac{1}{2}\right)^{2}}
Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.
\frac{\frac{2-3}{4}-\frac{1}{12}}{\left(-\frac{1}{2}\right)^{2}}
Since \frac{2}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{-\frac{1}{4}-\frac{1}{12}}{\left(-\frac{1}{2}\right)^{2}}
Subtract 3 from 2 to get -1.
\frac{-\frac{3}{12}-\frac{1}{12}}{\left(-\frac{1}{2}\right)^{2}}
Least common multiple of 4 and 12 is 12. Convert -\frac{1}{4} and \frac{1}{12} to fractions with denominator 12.
\frac{\frac{-3-1}{12}}{\left(-\frac{1}{2}\right)^{2}}
Since -\frac{3}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{-4}{12}}{\left(-\frac{1}{2}\right)^{2}}
Subtract 1 from -3 to get -4.
\frac{-\frac{1}{3}}{\left(-\frac{1}{2}\right)^{2}}
Reduce the fraction \frac{-4}{12} to lowest terms by extracting and canceling out 4.
\frac{-\frac{1}{3}}{\frac{1}{4}}
Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.
-\frac{1}{3}\times 4
Divide -\frac{1}{3} by \frac{1}{4} by multiplying -\frac{1}{3} by the reciprocal of \frac{1}{4}.
\frac{-4}{3}
Express -\frac{1}{3}\times 4 as a single fraction.
-\frac{4}{3}
Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.