Solve -2+2/3-1/2

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

Evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Solution Steps

Convert -2 to fraction -\frac{6}{3}.

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

Since -\frac{6}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add -6 and 2 to get -4.

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

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, subtract them by subtracting their numerators.

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

Subtract 3 from -8 to get -11.

$$-\frac{11}{6}$$

Factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$