Solve (1/6-1/4)*(-2)=

$$( \frac { 1 } { 6 } - \frac { 1 } { 4 } ) \times ( - 2 ) =$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{1}{4} to fractions with denominator 12.

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

Since \frac{2}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 2 to get -1.

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

Express -\frac{1}{12}\left(-2\right) as a single fraction.

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

Multiply -1 and -2 to get 2.

$$\frac{2}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$