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

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

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

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

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

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

Subtract 3 from 2 to get -1.

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

Cancel out 6 and 6.

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

Calculate 3 to the power of 3 and get 27.

$$-1-\frac{27}{-12}$$

Reduce the fraction \frac{27}{-12} to lowest terms by extracting and canceling out 3.

$$-1-\left(-\frac{9}{4}\right)$$

The opposite of -\frac{9}{4} is \frac{9}{4}.

$$-1+\frac{9}{4}$$

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

$$-\frac{4}{4}+\frac{9}{4}$$

Since -\frac{4}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{-4+9}{4}$$

Add -4 and 9 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$