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\frac{8}{2\left(-3\right)}
Divide \frac{1}{2} by \frac{-3}{8} by multiplying \frac{1}{2} by the reciprocal of \frac{-3}{8}.
\frac{8}{-6}
Multiply 2 and -3 to get -6.
-\frac{4}{3}
Reduce the fraction \frac{8}{-6} to lowest terms by extracting and canceling out 2.