Solve 2/3*(-2)+1/2=

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

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

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

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

Multiply 2 and -2 to get -4.

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

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

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

Least common multiple of 3 and 2 is 6. Convert -\frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{8}{6}+\frac{3}{6}$$

Since -\frac{8}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-8+3}{6}$$

Add -8 and 3 to get -5.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$