Solve 6div(-1/2+1/3)

$$6 \div ( - \frac { 1 } { 2 } + \frac { 1 } { 3 } )$$

Evaluate

$$-36$$

Solution Steps

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

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

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

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

Add -3 and 2 to get -1.

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

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

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

Multiply 6 and -6 to get -36.

$$-36$$

Factor

$$-36$$