Divide (x^2+x)/(x^2)

$\frac{x^{2} + x}{x^{2}}$

Step 1

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

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

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

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

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

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

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

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

$\frac{x (x + 1)}{x^{2}}$

Step 2

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Split the fraction $\frac{x + 1}{x}$ into two fractions.

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

Step 4

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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