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\frac{-7\times 3}{6\left(-2\right)}
Divide \frac{-7}{6} by \frac{-2}{3} by multiplying \frac{-7}{6} by the reciprocal of \frac{-2}{3}.
\frac{-7}{-2\times 2}
Cancel out 3 in both numerator and denominator.
\frac{-7}{-4}
Multiply -2 and 2 to get -4.
\frac{7}{4}
Fraction \frac{-7}{-4} can be simplified to \frac{7}{4} by removing the negative sign from both the numerator and the denominator.