Solve -1/2-2+1/3

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

Evaluate

$$-\frac{13}{6}\approx -2.166666667$$

Solution Steps

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

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

Since -\frac{1}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from -1 to get -5.

$$-\frac{5}{2}+\frac{1}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{5}{2} and \frac{1}{3} to fractions with denominator 6.

$$-\frac{15}{6}+\frac{2}{6}$$

Since -\frac{15}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{-15+2}{6}$$

Add -15 and 2 to get -13.

$$-\frac{13}{6}$$

Factor

$$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$$