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\frac{\left(5x-20\right)\times 3x}{9\left(x-4\right)}
Divide \frac{5x-20}{9} by \frac{x-4}{3x} by multiplying \frac{5x-20}{9} by the reciprocal of \frac{x-4}{3x}.
\frac{x\left(5x-20\right)}{3\left(x-4\right)}
Cancel out 3 in both numerator and denominator.
\frac{5x\left(x-4\right)}{3\left(x-4\right)}
Factor the expressions that are not already factored.
\frac{5x}{3}
Cancel out x-4 in both numerator and denominator.
\frac{\left(5x-20\right)\times 3x}{9\left(x-4\right)}
Divide \frac{5x-20}{9} by \frac{x-4}{3x} by multiplying \frac{5x-20}{9} by the reciprocal of \frac{x-4}{3x}.
\frac{x\left(5x-20\right)}{3\left(x-4\right)}
Cancel out 3 in both numerator and denominator.
\frac{5x\left(x-4\right)}{3\left(x-4\right)}
Factor the expressions that are not already factored.
\frac{5x}{3}
Cancel out x-4 in both numerator and denominator.