Solve (1500/x-1/2)

$$( \frac { 1500 } { x } - \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{1}{2}+\frac{1500}{x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 2 is 2x. Multiply \frac{1500}{x} times \frac{2}{2}. Multiply \frac{1}{2} times \frac{x}{x}.

$$\frac{1500\times 2}{2x}-\frac{x}{2x}$$

Since \frac{1500\times 2}{2x} and \frac{x}{2x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1500\times 2-x}{2x}$$

Do the multiplications in 1500\times 2-x.

$$\frac{3000-x}{2x}$$

Factor

$$-\frac{\frac{1}{2}\left(x-3000\right)}{x}$$