Solve 3(9/2)-15+2(9/2)-14

$$3 ( \frac { 9 } { 2 } ) - 15 + 2 ( \frac { 9 } { 2 } ) - 14$$

Evaluate

$$-\frac{13}{2}=-6.5$$

Solution Steps

Express 3\times \frac{9}{2} as a single fraction.

$$\frac{3\times 9}{2}-15+2\times \frac{9}{2}-14$$

Multiply 3 and 9 to get 27.

$$\frac{27}{2}-15+2\times \frac{9}{2}-14$$

Convert 15 to fraction \frac{30}{2}.

$$\frac{27}{2}-\frac{30}{2}+2\times \frac{9}{2}-14$$

Since \frac{27}{2} and \frac{30}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-30}{2}+2\times \frac{9}{2}-14$$

Subtract 30 from 27 to get -3.

$$-\frac{3}{2}+2\times \frac{9}{2}-14$$

Cancel out 2 and 2.

$$-\frac{3}{2}+9-14$$

Convert 9 to fraction \frac{18}{2}.

$$-\frac{3}{2}+\frac{18}{2}-14$$

Since -\frac{3}{2} and \frac{18}{2} have the same denominator, add them by adding their numerators.

$$\frac{-3+18}{2}-14$$

Add -3 and 18 to get 15.

$$\frac{15}{2}-14$$

Convert 14 to fraction \frac{28}{2}.

$$\frac{15}{2}-\frac{28}{2}$$

Since \frac{15}{2} and \frac{28}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-28}{2}$$

Subtract 28 from 15 to get -13.

$$-\frac{13}{2}$$

Factor

$$-\frac{13}{2} = -6\frac{1}{2} = -6.5$$