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

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

Evaluate

$$6$$

Solution Steps

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

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

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

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

Subtract 3 from 2 to get -1.

$$\frac{-1}{-\frac{1}{6}}$$

Divide -1 by -\frac{1}{6} by multiplying -1 by the reciprocal of -\frac{1}{6}.

$$-\left(-6\right)$$

Multiply -1 and -6 to get 6.

$$6$$

Factor

$$2\times 3$$