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\frac{8}{9}\left(-\frac{2}{7}\right)
Divide \frac{8}{9} by -\frac{7}{2} by multiplying \frac{8}{9} by the reciprocal of -\frac{7}{2}.
\frac{8\left(-2\right)}{9\times 7}
Multiply \frac{8}{9} times -\frac{2}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{-16}{63}
Do the multiplications in the fraction \frac{8\left(-2\right)}{9\times 7}.
-\frac{16}{63}
Fraction \frac{-16}{63} can be rewritten as -\frac{16}{63} by extracting the negative sign.