Solve 712/x+28/x0

$$7 \frac { 12 } { x } + 2 \frac { 8 } { x 0 }$$

Evaluate

$$\frac{4\left(4x+21x_{0}\right)}{xx_{0}}$$

Short Solution Steps

Express 7\times \frac{12}{x} as a single fraction.

$$\frac{7\times 12}{x}+2\times \frac{8}{x_{0}}$$

Express 2\times \frac{8}{x_{0}} as a single fraction.

$$\frac{7\times 12}{x}+\frac{2\times 8}{x_{0}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x_{0} is xx_{0}. Multiply \frac{7\times 12}{x} times \frac{x_{0}}{x_{0}}. Multiply \frac{2\times 8}{x_{0}} times \frac{x}{x}.

$$\frac{7\times 12x_{0}}{xx_{0}}+\frac{2\times 8x}{xx_{0}}$$

Since \frac{7\times 12x_{0}}{xx_{0}} and \frac{2\times 8x}{xx_{0}} have the same denominator, add them by adding their numerators.

$$\frac{7\times 12x_{0}+2\times 8x}{xx_{0}}$$

Do the multiplications in 7\times 12x_{0}+2\times 8x.

$$\frac{84x_{0}+16x}{xx_{0}}$$

Factor

$$\frac{4\left(\frac{4x}{x_{0}}+21\right)}{x}$$