Solve 1/6-2/3+1/6

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

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

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

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

Since \frac{1}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 1 to get -3.

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

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

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

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

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

Since -\frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

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

Add -3 and 1 to get -2.

$$\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{1}{3} = -0.3333333333333333$$