Solve 12div[(-1/2)^2-1/2]

$$12 \div [ ( - \frac { 1 } { 2 } ) ^ { 2 } - \frac { 1 } { 2 } ]$$

Evaluate

$$-48$$

Solution Steps

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{12}{\frac{1}{4}-\frac{1}{2}}$$

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{12}{\frac{1}{4}-\frac{2}{4}}$$

Since \frac{1}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12}{\frac{1-2}{4}}$$

Subtract 2 from 1 to get -1.

$$\frac{12}{-\frac{1}{4}}$$

Divide 12 by -\frac{1}{4} by multiplying 12 by the reciprocal of -\frac{1}{4}.

$$12\left(-4\right)$$

Multiply 12 and -4 to get -48.

$$-48$$

Factor

$$-48$$