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

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

Evaluate

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

Solution Steps

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

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

Since \frac{3}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 3 to get -1.

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

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

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

Subtract 2 from -1 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

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