Solve -2/3+-1/6--1/4-1/2

$$- \frac{ 2 }{ 3 } +- \frac{ 1 }{ 6 } -- \frac{ 1 }{ 4 } - \frac{ 1 }{ 2 }$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

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

$$-\frac{4}{6}-\frac{1}{6}-\left(-\frac{1}{4}\right)-\frac{1}{2}$$

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

$$\frac{-4-1}{6}-\left(-\frac{1}{4}\right)-\frac{1}{2}$$

Subtract 1 from -4 to get -5.

$$-\frac{5}{6}-\left(-\frac{1}{4}\right)-\frac{1}{2}$$

The opposite of -\frac{1}{4} is \frac{1}{4}.

$$-\frac{5}{6}+\frac{1}{4}-\frac{1}{2}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$-\frac{10}{12}+\frac{3}{12}-\frac{1}{2}$$

Since -\frac{10}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{-10+3}{12}-\frac{1}{2}$$

Add -10 and 3 to get -7.

$$-\frac{7}{12}-\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert -\frac{7}{12} and \frac{1}{2} to fractions with denominator 12.

$$-\frac{7}{12}-\frac{6}{12}$$

Since -\frac{7}{12} and \frac{6}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-6}{12}$$

Subtract 6 from -7 to get -13.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$