Solve 2/x+7/2x

$$\frac { 2 } { x } + \frac { 7 } { 2 x }$$

Evaluate

$$\frac{11}{2x}$$

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{2}{x} times \frac{2}{2}.

$$\frac{2\times 2}{2x}+\frac{7}{2x}$$

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

$$\frac{2\times 2+7}{2x}$$

Do the multiplications in 2\times 2+7.

$$\frac{4+7}{2x}$$

Do the calculations in 4+7.

$$\frac{11}{2x}$$

Differentiate w.r.t. x

$$-\frac{11}{2x^{2}}$$