Solve 1/3(-3)+(1/2(6)-2/3(-6))

$$\frac { 1 } { 3 } ( - 3 ) + ( \frac { 1 } { 2 } ( 6 ) - \frac { 2 } { 3 } ( - 6 ) )$$

Evaluate

$$6$$

Solution Steps

Multiply \frac{1}{3} and -3 to get \frac{-3}{3}.

$$\frac{-3}{3}+\frac{1}{2}\times 6-\frac{2}{3}\left(-6\right)$$

Divide -3 by 3 to get -1.

$$-1+\frac{1}{2}\times 6-\frac{2}{3}\left(-6\right)$$

Multiply \frac{1}{2} and 6 to get \frac{6}{2}.

$$-1+\frac{6}{2}-\frac{2}{3}\left(-6\right)$$

Divide 6 by 2 to get 3.

$$-1+3-\frac{2}{3}\left(-6\right)$$

Express \frac{2}{3}\left(-6\right) as a single fraction.

$$-1+3-\frac{2\left(-6\right)}{3}$$

Multiply 2 and -6 to get -12.

$$-1+3-\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$-1+3-\left(-4\right)$$

The opposite of -4 is 4.

$$-1+3+4$$

Add 3 and 4 to get 7.

$$-1+7$$

Add -1 and 7 to get 6.

$$6$$

Factor

$$2\times 3$$