Solve (-5/2)+(+15/2)+(-3/2)+(+7/2)=

$$( - \frac { 5 } { 2 } ) + ( + \frac { 15 } { 2 } ) + ( - \frac { 3 } { 2 } ) + ( + \frac { 7 } { 2 } ) =$$

Evaluate

$$7$$

Solution Steps

Since -\frac{5}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$\frac{-5+15}{2}-\frac{3}{2}+\frac{7}{2}$$

Add -5 and 15 to get 10.

$$\frac{10}{2}-\frac{3}{2}+\frac{7}{2}$$

Since \frac{10}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{2}+\frac{7}{2}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{2}+\frac{7}{2}$$

Since \frac{7}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.

$$\frac{7+7}{2}$$

Add 7 and 7 to get 14.

$$\frac{14}{2}$$

Divide 14 by 2 to get 7.

$$7$$

Factor

$$7$$