Solve 3/2+9/2-21/4

$$\frac { 3 } { 2 } + \frac { 9 } { 2 } - \frac { 21 } { 4 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Since \frac{3}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+9}{2}-\frac{21}{4}$$

Add 3 and 9 to get 12.

$$\frac{12}{2}-\frac{21}{4}$$

Divide 12 by 2 to get 6.

$$6-\frac{21}{4}$$

Convert 6 to fraction \frac{24}{4}.

$$\frac{24}{4}-\frac{21}{4}$$

Since \frac{24}{4} and \frac{21}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-21}{4}$$

Subtract 21 from 24 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$