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-\frac{3}{7}\left(-\frac{8}{9}\right)
Divide -\frac{3}{7} by -\frac{9}{8} by multiplying -\frac{3}{7} by the reciprocal of -\frac{9}{8}.
\frac{-3\left(-8\right)}{7\times 9}
Multiply -\frac{3}{7} times -\frac{8}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{24}{63}
Do the multiplications in the fraction \frac{-3\left(-8\right)}{7\times 9}.
\frac{8}{21}
Reduce the fraction \frac{24}{63} to lowest terms by extracting and canceling out 3.