Solve 12/3+5/2-14+12-2(3+3)=

$$\frac{ 12 }{ 3 } + \frac{ 5 }{ 2 } -14+12-2(3+3)=$$

Evaluate

$$-\frac{15}{2}=-7.5$$

Solution Steps

Divide 12 by 3 to get 4.

$$4+\frac{5}{2}-14+12-2\left(3+3\right)$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{8}{2}+\frac{5}{2}-14+12-2\left(3+3\right)$$

Since \frac{8}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{8+5}{2}-14+12-2\left(3+3\right)$$

Add 8 and 5 to get 13.

$$\frac{13}{2}-14+12-2\left(3+3\right)$$

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

$$\frac{13}{2}-\frac{28}{2}+12-2\left(3+3\right)$$

Since \frac{13}{2} and \frac{28}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-28}{2}+12-2\left(3+3\right)$$

Subtract 28 from 13 to get -15.

$$-\frac{15}{2}+12-2\left(3+3\right)$$

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

$$-\frac{15}{2}+\frac{24}{2}-2\left(3+3\right)$$

Since -\frac{15}{2} and \frac{24}{2} have the same denominator, add them by adding their numerators.

$$\frac{-15+24}{2}-2\left(3+3\right)$$

Add -15 and 24 to get 9.

$$\frac{9}{2}-2\left(3+3\right)$$

Add 3 and 3 to get 6.

$$\frac{9}{2}-2\times 6$$

Multiply 2 and 6 to get 12.

$$\frac{9}{2}-12$$

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

$$\frac{9}{2}-\frac{24}{2}$$

Since \frac{9}{2} and \frac{24}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-24}{2}$$

Subtract 24 from 9 to get -15.

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

Factor

$$-\frac{15}{2} = -7\frac{1}{2} = -7.5$$