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\frac{2\times 2}{4\left(-3\right)}
Divide \frac{2}{4} by -\frac{3}{2} by multiplying \frac{2}{4} by the reciprocal of -\frac{3}{2}.
\frac{1}{-3}
Cancel out 2\times 2 in both numerator and denominator.
-\frac{1}{3}
Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.