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\frac{-2+\sqrt{3}}{2\left(-2\right)}
Express \frac{\frac{-2+\sqrt{3}}{2}}{-2} as a single fraction.
\frac{-2+\sqrt{3}}{-4}
Multiply 2 and -2 to get -4.
\frac{2-\sqrt{3}}{4}
Multiply both numerator and denominator by -1.