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\frac{3}{2\left(-2\right)}
Express \frac{\frac{3}{2}}{-2} as a single fraction.
\frac{3}{-4}
Multiply 2 and -2 to get -4.
-\frac{3}{4}
Fraction \frac{3}{-4} can be rewritten as -\frac{3}{4} by extracting the negative sign.