Solve -1/3-(-1/2)div(-1/3)=

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

Evaluate

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

Solution Steps

Divide -\frac{1}{2} by -\frac{1}{3} by multiplying -\frac{1}{2} by the reciprocal of -\frac{1}{3}.

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

Express -\frac{1}{2}\left(-3\right) as a single fraction.

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

Multiply -1 and -3 to get 3.

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

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

$$-\frac{2}{6}-\frac{9}{6}$$

Since -\frac{2}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-9}{6}$$

Subtract 9 from -2 to get -11.

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

Factor

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