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\frac{5}{9}\left(-\frac{7}{8}\right)
Divide \frac{5}{9} by -\frac{8}{7} by multiplying \frac{5}{9} by the reciprocal of -\frac{8}{7}.
\frac{5\left(-7\right)}{9\times 8}
Multiply \frac{5}{9} times -\frac{7}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{-35}{72}
Do the multiplications in the fraction \frac{5\left(-7\right)}{9\times 8}.
-\frac{35}{72}
Fraction \frac{-35}{72} can be rewritten as -\frac{35}{72} by extracting the negative sign.