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

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

Factor $x$ out of $x^{2} + x$ .

Factor $x$ out of $x^{2}$ .

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

Raise $x$ to the power of $1$ .

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

Factor $x$ out of $x^{1}$ .

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

Factor $x$ out of $x \cdot x + x \cdot 1$ .

$\frac{x}{x (x + 1)} \cdot \frac{x + 1}{3}$

Cancel the common factor of $x + 1$ .

Factor $x + 1$ out of $x (x + 1)$ .

$\frac{x}{(x + 1) x} \cdot \frac{x + 1}{3}$

Cancel the common factor.

$\frac{x}{(x + 1) x} \cdot \frac{x + 1}{3}$

Rewrite the expression.

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

Multiply $\frac{x}{x}$ by $\frac{1}{3}$ .

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

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$