Solve 1/x+frac{1{x}}

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{x}{x}.

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

Since \frac{xx}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.

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

Do the multiplications in xx+1.

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

Divide 1 by \frac{x^{2}+1}{x} by multiplying 1 by the reciprocal of \frac{x^{2}+1}{x}.

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

Factor

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