Solve (05-2/3)-1/3*(-4)+(-1/2)*2

$$( 05 - \frac { 2 } { 3 } ) - \frac { 1 } { 3 } \times ( - 4 ) + ( - \frac { 1 } { 2 } ) \times 2$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Multiply 0 and 5 to get 0.

$$0-\frac{2}{3}-\frac{1}{3}\left(-4\right)-\frac{1}{2}\times 2$$

Subtract \frac{2}{3} from 0 to get -\frac{2}{3}.

$$-\frac{2}{3}-\frac{1}{3}\left(-4\right)-\frac{1}{2}\times 2$$

Multiply \frac{1}{3} and -4 to get \frac{-4}{3}.

$$-\frac{2}{3}-\frac{-4}{3}-\frac{1}{2}\times 2$$

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$-\frac{2}{3}-\left(-\frac{4}{3}\right)-\frac{1}{2}\times 2$$

The opposite of -\frac{4}{3} is \frac{4}{3}.

$$-\frac{2}{3}+\frac{4}{3}-\frac{1}{2}\times 2$$

Since -\frac{2}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$\frac{-2+4}{3}-\frac{1}{2}\times 2$$

Add -2 and 4 to get 2.

$$\frac{2}{3}-\frac{1}{2}\times 2$$

Cancel out 2 and 2.

$$\frac{2}{3}-1$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{2}{3}-\frac{3}{3}$$

Since \frac{2}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-3}{3}$$

Subtract 3 from 2 to get -1.

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

Factor

$$-\frac{1}{3} = -0.3333333333333333$$