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

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

Evaluate

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

Solution Steps

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

$$-\left(-\frac{2}{6}-\frac{3}{6}+4\right)$$

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

$$-\left(\frac{-2-3}{6}+4\right)$$

Subtract 3 from -2 to get -5.

$$-\left(-\frac{5}{6}+4\right)$$

Convert 4 to fraction \frac{24}{6}.

$$-\left(-\frac{5}{6}+\frac{24}{6}\right)$$

Since -\frac{5}{6} and \frac{24}{6} have the same denominator, add them by adding their numerators.

$$-\frac{-5+24}{6}$$

Add -5 and 24 to get 19.

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

Factor

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