Solve 6*left(1/3-1/2right)-3^2/-12

$$6 \times \left( \frac{ 1 }{ 3 } - \frac{ 1 }{ 2 } \right) - \frac{ { 3 }^{ 2 } }{ -12 }$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

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

$$6\left(\frac{2}{6}-\frac{3}{6}\right)-\frac{3^{2}}{-12}$$

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

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

Subtract 3 from 2 to get -1.

$$6\left(-\frac{1}{6}\right)-\frac{3^{2}}{-12}$$

Cancel out 6 and 6.

$$-1-\frac{3^{2}}{-12}$$

Calculate 3 to the power of 2 and get 9.

$$-1-\frac{9}{-12}$$

Reduce the fraction \frac{9}{-12} to lowest terms by extracting and canceling out 3.

$$-1-\left(-\frac{3}{4}\right)$$

The opposite of -\frac{3}{4} is \frac{3}{4}.

$$-1+\frac{3}{4}$$

Convert -1 to fraction -\frac{4}{4}.

$$-\frac{4}{4}+\frac{3}{4}$$

Since -\frac{4}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{-4+3}{4}$$

Add -4 and 3 to get -1.

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

Factor

$$-\frac{1}{4} = -0.25$$