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\frac{\left(x+2\right)\left(5x+35\right)}{\left(9x+18\right)\left(x+7\right)}
Divide \frac{x+2}{9x+18} by \frac{x+7}{5x+35} by multiplying \frac{x+2}{9x+18} by the reciprocal of \frac{x+7}{5x+35}.
\frac{5\left(x+2\right)\left(x+7\right)}{9\left(x+2\right)\left(x+7\right)}
Factor the expressions that are not already factored.
\frac{5}{9}
Cancel out \left(x+2\right)\left(x+7\right) in both numerator and denominator.