Solve 9/2+13/2-(4/2+1/2)=

$$\frac { 9 } { 2 } + \frac { 13 } { 2 } - ( \frac { 4 } { 2 } + \frac { 1 } { 2 } ) =$$

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Since \frac{9}{2} and \frac{13}{2} have the same denominator, add them by adding their numerators.

$$\frac{9+13}{2}-\left(\frac{4}{2}+\frac{1}{2}\right)$$

Add 9 and 13 to get 22.

$$\frac{22}{2}-\left(\frac{4}{2}+\frac{1}{2}\right)$$

Divide 22 by 2 to get 11.

$$11-\left(\frac{4}{2}+\frac{1}{2}\right)$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$11-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$11-\frac{5}{2}$$

Convert 11 to fraction \frac{22}{2}.

$$\frac{22}{2}-\frac{5}{2}$$

Since \frac{22}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-5}{2}$$

Subtract 5 from 22 to get 17.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$