Solve 1/x_{1}+1/x_{2}

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

Evaluate

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

Solution Steps

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

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

Since \frac{x_{2}}{x_{1}x_{2}} and \frac{x_{1}}{x_{1}x_{2}} have the same denominator, add them by adding their numerators.

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

Factor

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