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2.7\left(-\frac{2}{9}\right)
Divide 2.7 by -\frac{9}{2} by multiplying 2.7 by the reciprocal of -\frac{9}{2}.
\frac{27}{10}\left(-\frac{2}{9}\right)
Convert decimal number 2.7 to fraction \frac{27}{10}.
\frac{27\left(-2\right)}{10\times 9}
Multiply \frac{27}{10} times -\frac{2}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{-54}{90}
Do the multiplications in the fraction \frac{27\left(-2\right)}{10\times 9}.
-\frac{3}{5}
Reduce the fraction \frac{-54}{90} to lowest terms by extracting and canceling out 18.