Solve 1/2-4+1/3=?

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

Evaluate

$$-\frac{19}{6}\approx -3.166666667$$

Solution Steps

Convert 4 to fraction \frac{8}{2}.

$$\frac{1}{2}-\frac{8}{2}+\frac{1}{3}$$

Since \frac{1}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-8}{2}+\frac{1}{3}$$

Subtract 8 from 1 to get -7.

$$-\frac{7}{2}+\frac{1}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{7}{2} and \frac{1}{3} to fractions with denominator 6.

$$-\frac{21}{6}+\frac{2}{6}$$

Since -\frac{21}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{-21+2}{6}$$

Add -21 and 2 to get -19.

$$-\frac{19}{6}$$

Factor

$$-\frac{19}{6} = -3\frac{1}{6} = -3.1666666666666665$$