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4.5\left(-\frac{9}{5}\right)
Divide 4.5 by -\frac{5}{9} by multiplying 4.5 by the reciprocal of -\frac{5}{9}.
\frac{9}{2}\left(-\frac{9}{5}\right)
Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.
\frac{9\left(-9\right)}{2\times 5}
Multiply \frac{9}{2} times -\frac{9}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-81}{10}
Do the multiplications in the fraction \frac{9\left(-9\right)}{2\times 5}.
-\frac{81}{10}
Fraction \frac{-81}{10} can be rewritten as -\frac{81}{10} by extracting the negative sign.