Solve 13/2x-5/x

$$\frac { 13 } { 2 x } - \frac { 5 } { x }$$

Evaluate

$$\frac{3}{2x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2x and x is 2x. Multiply \frac{5}{x} times \frac{2}{2}.

$$\frac{13}{2x}-\frac{5\times 2}{2x}$$

Since \frac{13}{2x} and \frac{5\times 2}{2x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-5\times 2}{2x}$$

Do the multiplications in 13-5\times 2.

$$\frac{13-10}{2x}$$

Do the calculations in 13-10.

$$\frac{3}{2x}$$

Differentiate w.r.t. x

$$-\frac{3}{2x^{2}}$$