Solve (-1/6)-(-2/3)

$$( - \frac { 1 } { 6 } ) - ( - \frac { 2 } { 3 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$-\frac{1}{6}+\frac{2}{3}$$

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

$$-\frac{1}{6}+\frac{4}{6}$$

Since -\frac{1}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{-1+4}{6}$$

Add -1 and 4 to get 3.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$