Solve 250/x+5x/3+x

$$\frac { 250 } { x } + \frac { 5 x } { 3 } + x$$

Evaluate

$$\frac{8x}{3}+\frac{250}{x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 3 is 3x. Multiply \frac{250}{x} times \frac{3}{3}. Multiply \frac{5x}{3} times \frac{x}{x}.

$$\frac{250\times 3}{3x}+\frac{5xx}{3x}+x$$

Since \frac{250\times 3}{3x} and \frac{5xx}{3x} have the same denominator, add them by adding their numerators.

$$\frac{250\times 3+5xx}{3x}+x$$

Do the multiplications in 250\times 3+5xx.

$$\frac{750+5x^{2}}{3x}+x$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{3x}{3x}.

$$\frac{750+5x^{2}}{3x}+\frac{x\times 3x}{3x}$$

Since \frac{750+5x^{2}}{3x} and \frac{x\times 3x}{3x} have the same denominator, add them by adding their numerators.

$$\frac{750+5x^{2}+x\times 3x}{3x}$$

Do the multiplications in 750+5x^{2}+x\times 3x.

$$\frac{750+5x^{2}+3x^{2}}{3x}$$

Combine like terms in 750+5x^{2}+3x^{2}.

$$\frac{750+8x^{2}}{3x}$$

Factor

$$\frac{2\left(4x^{2}+375\right)}{3x}$$