Solve 1/x+1/x_{2}

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

Evaluate

$$\frac{x+x_{2}}{xx_{2}}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x_{2} is xx_{2}. Multiply \frac{1}{x} times \frac{x_{2}}{x_{2}}. Multiply \frac{1}{x_{2}} times \frac{x}{x}.

$$\frac{x_{2}}{xx_{2}}+\frac{x}{xx_{2}}$$

Since \frac{x_{2}}{xx_{2}} and \frac{x}{xx_{2}} have the same denominator, add them by adding their numerators.

$$\frac{x_{2}+x}{xx_{2}}$$

Factor

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