Solve 1/2+(-5/6)+1/6=

$$\frac { 1 } { 2 } + ( - \frac { 5 } { 6 } ) + \frac { 1 } { 6 } =$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{3}{6}-\frac{5}{6}+\frac{1}{6}$$

Since \frac{3}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-5}{6}+\frac{1}{6}$$

Subtract 5 from 3 to get -2.

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

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

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

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

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

Since -\frac{2}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

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

Add -2 and 1 to get -1.

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

Factor

$$-\frac{1}{6} = -0.16666666666666666$$