Solve 3/2+5/2+8-19/2

$$\frac { 3 } { 2 } + \frac { 5 } { 2 } + 8 - \frac { 19 } { 2 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

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

$$\frac{3+5}{2}+8-\frac{19}{2}$$

Add 3 and 5 to get 8.

$$\frac{8}{2}+8-\frac{19}{2}$$

Divide 8 by 2 to get 4.

$$4+8-\frac{19}{2}$$

Add 4 and 8 to get 12.

$$12-\frac{19}{2}$$

Convert 12 to fraction \frac{24}{2}.

$$\frac{24}{2}-\frac{19}{2}$$

Since \frac{24}{2} and \frac{19}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-19}{2}$$

Subtract 19 from 24 to get 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$