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-\frac{4}{3}\times \frac{5}{9}
Divide -\frac{4}{3} by \frac{9}{5} by multiplying -\frac{4}{3} by the reciprocal of \frac{9}{5}.
\frac{-4\times 5}{3\times 9}
Multiply -\frac{4}{3} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{-20}{27}
Do the multiplications in the fraction \frac{-4\times 5}{3\times 9}.
-\frac{20}{27}
Fraction \frac{-20}{27} can be rewritten as -\frac{20}{27} by extracting the negative sign.