Solve (1/6-1/3)*(-13)=

$$( \frac { 1 } { 6 } - \frac { 1 } { 3 } ) \cdot ( - 13 ) =$$

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

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

$$\left(\frac{1}{6}-\frac{2}{6}\right)\left(-13\right)$$

Since \frac{1}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-2}{6}\left(-13\right)$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{6}\left(-13\right)$$

Express -\frac{1}{6}\left(-13\right) as a single fraction.

$$\frac{-\left(-13\right)}{6}$$

Multiply -1 and -13 to get 13.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$