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\frac{\left(x+9\right)\left(4x+40\right)}{\left(5x+45\right)\left(x+10\right)}
Divide \frac{x+9}{5x+45} by \frac{x+10}{4x+40} by multiplying \frac{x+9}{5x+45} by the reciprocal of \frac{x+10}{4x+40}.
\frac{4\left(x+9\right)\left(x+10\right)}{5\left(x+9\right)\left(x+10\right)}
Factor the expressions that are not already factored.
\frac{4}{5}
Cancel out \left(x+9\right)\left(x+10\right) in both numerator and denominator.