Solve 5(x/2)+8/2(frac{x{2})}

$$\frac { 5 ( \frac { x } { 2 } ) + 8 } { 2 ( \frac { x } { 2 } ) }$$

Evaluate

$$\frac{5}{2}+\frac{8}{x}$$

Short Solution Steps

Express 5\times \frac{x}{2} as a single fraction.

$$\frac{\frac{5x}{2}+8}{2\times \frac{x}{2}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{2}{2}.

$$\frac{\frac{5x}{2}+\frac{8\times 2}{2}}{2\times \frac{x}{2}}$$

Since \frac{5x}{2} and \frac{8\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5x+8\times 2}{2}}{2\times \frac{x}{2}}$$

Do the multiplications in 5x+8\times 2.

$$\frac{\frac{5x+16}{2}}{2\times \frac{x}{2}}$$

Cancel out 2 and 2.

$$\frac{\frac{5x+16}{2}}{x}$$

Express \frac{\frac{5x+16}{2}}{x} as a single fraction.

$$\frac{5x+16}{2x}$$

Expand

$$\frac{5}{2}+\frac{8}{x}$$

Short Solution Steps

Express 5\times \frac{x}{2} as a single fraction.

$$\frac{\frac{5x}{2}+8}{2\times \frac{x}{2}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{2}{2}.

$$\frac{\frac{5x}{2}+\frac{8\times 2}{2}}{2\times \frac{x}{2}}$$

Since \frac{5x}{2} and \frac{8\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5x+8\times 2}{2}}{2\times \frac{x}{2}}$$

Do the multiplications in 5x+8\times 2.

$$\frac{\frac{5x+16}{2}}{2\times \frac{x}{2}}$$

Cancel out 2 and 2.

$$\frac{\frac{5x+16}{2}}{x}$$

Express \frac{\frac{5x+16}{2}}{x} as a single fraction.

$$\frac{5x+16}{2x}$$