Solve 1/x+1/2x+x

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

Evaluate

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

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

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

Since \frac{2}{2x} and \frac{1}{2x} have the same denominator, add them by adding their numerators. Add 2 and 1 to get 3.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{2x}{2x}.

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

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

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

Do the multiplications in 3+x\times 2x.

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

Factor

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