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\frac{8}{9}\left(-\frac{8}{9}\right)
Divide \frac{8}{9} by -\frac{9}{8} by multiplying \frac{8}{9} by the reciprocal of -\frac{9}{8}.
\frac{8\left(-8\right)}{9\times 9}
Multiply \frac{8}{9} times -\frac{8}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{-64}{81}
Do the multiplications in the fraction \frac{8\left(-8\right)}{9\times 9}.
-\frac{64}{81}
Fraction \frac{-64}{81} can be rewritten as -\frac{64}{81} by extracting the negative sign.