Simplify ((2x)/(x+1))/(3/(x+1))

$\frac{\frac{2 x}{x + 1}}{\frac{3}{x + 1}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 x}{x + 1} \cdot \frac{x + 1}{3}$

Cancel the common factor of $x + 1$ .

Cancel the common factor.

$\frac{2 x}{x + 1} \cdot \frac{x + 1}{3}$

Rewrite the expression.

$2 x \frac{1}{3}$

Combine $2$ and $\frac{1}{3}$ .

$x \frac{2}{3}$

Combine $x$ and $\frac{2}{3}$ .

$\frac{x \cdot 2}{3}$

Move $2$ to the left of $x$ .

$\frac{2 x}{3}$