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\frac{\left(3x+9\right)\times 32x^{2}}{16x^{2}\left(27x+81\right)}
Multiply \frac{3x+9}{16x^{2}} times \frac{32x^{2}}{27x+81} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(3x+9\right)}{27x+81}
Cancel out 16x^{2} in both numerator and denominator.
\frac{2\times 3\left(x+3\right)}{27\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{2}{9}
Cancel out 3\left(x+3\right) in both numerator and denominator.