Solve x/8-1/2+11/2

$$\frac { x } { 8 } - \frac { 1 } { 2 } + \frac { 11 } { 2 }$$

Evaluate

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

Short Solution Steps

Since -\frac{1}{2} and \frac{11}{2} have the same denominator, add them by adding their numerators.

$$\frac{x}{8}+\frac{-1+11}{2}$$

Add -1 and 11 to get 10.

$$\frac{x}{8}+\frac{10}{2}$$

Divide 10 by 2 to get 5.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{8}{8}.

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

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

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

Do the multiplications in x+5\times 8.

$$\frac{x+40}{8}$$

Factor

$$\frac{x+40}{8}$$

Solution Steps

Factor out \frac{1}{8}.

$$\frac{x+40}{8}$$

Consider x-4+44. Multiply and combine like terms.

$$x+40$$

Rewrite the complete factored expression.

$$\frac{x+40}{8}$$