Solve 12div(1/2-1/3)

$$12 \div ( \frac { 1 } { 2 } - \frac { 1 } { 3 } )$$

Evaluate

$$72$$

Solution Steps

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

$$\frac{12}{\frac{3}{6}-\frac{2}{6}}$$

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

$$\frac{12}{\frac{3-2}{6}}$$

Subtract 2 from 3 to get 1.

$$\frac{12}{\frac{1}{6}}$$

Divide 12 by \frac{1}{6} by multiplying 12 by the reciprocal of \frac{1}{6}.

$$12\times 6$$

Multiply 12 and 6 to get 72.

$$72$$

Factor

$$2^{3}\times 3^{2}$$