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

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

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

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

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

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

$$-\frac{1}{6}-\frac{4}{6}+\frac{-1}{3}$$

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

$$\frac{-1-4}{6}+\frac{-1}{3}$$

Subtract 4 from -1 to get -5.

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

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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

Least common multiple of 6 and 3 is 6. Convert -\frac{5}{6} and \frac{1}{3} to fractions with denominator 6.

$$-\frac{5}{6}-\frac{2}{6}$$

Since -\frac{5}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-2}{6}$$

Subtract 2 from -5 to get -7.

$$-\frac{7}{6}$$

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$