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\frac{\left(2x+6\right)\times 5}{\left(x+5\right)\left(3x+9\right)}
Divide \frac{2x+6}{x+5} by \frac{3x+9}{5} by multiplying \frac{2x+6}{x+5} by the reciprocal of \frac{3x+9}{5}.
\frac{2\times 5\left(x+3\right)}{3\left(x+3\right)\left(x+5\right)}
Factor the expressions that are not already factored.
\frac{2\times 5}{3\left(x+5\right)}
Cancel out x+3 in both numerator and denominator.
\frac{10}{3x+15}
Expand the expression.
\frac{\left(2x+6\right)\times 5}{\left(x+5\right)\left(3x+9\right)}
Divide \frac{2x+6}{x+5} by \frac{3x+9}{5} by multiplying \frac{2x+6}{x+5} by the reciprocal of \frac{3x+9}{5}.
\frac{2\times 5\left(x+3\right)}{3\left(x+3\right)\left(x+5\right)}
Factor the expressions that are not already factored.
\frac{2\times 5}{3\left(x+5\right)}
Cancel out x+3 in both numerator and denominator.
\frac{10}{3x+15}
Expand the expression.