Simplify x+1/x

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

Step 1

To write $x$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Multiply $x$ by $x$ .

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