Answer
$\frac{2}{5}$
Work Step by Step
$\frac{x^{2}+x}{3x}\times\frac{6}{5x+5}$
=$\frac{x(x+1)}{3x}\times\frac{6}{5(x+1)}$
=$\frac{(x+1)}{3}\times\frac{6}{5(x+1)}$
=$\frac{6}{3\times5}\times\frac{x+1}{x+1}$
=$\frac{2\times3}{5\times3}\times1$
=$\frac{2}{5}$
