Solve 6/x-3/2x

$$\frac{ 6 }{ x } - \frac{ 3 }{ 2x }$$

Evaluate

$$\frac{9}{2x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 2x is 2x. Multiply \frac{6}{x} times \frac{2}{2}.

$$\frac{6\times 2}{2x}-\frac{3}{2x}$$

Since \frac{6\times 2}{2x} and \frac{3}{2x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6\times 2-3}{2x}$$

Do the multiplications in 6\times 2-3.

$$\frac{12-3}{2x}$$

Do the calculations in 12-3.

$$\frac{9}{2x}$$

Differentiate w.r.t. x

$$-\frac{9}{2x^{2}}$$