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

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

Evaluate

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

Solution Steps

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

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

Since \frac{2}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 2 to get -1.

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

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

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

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

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

Add -1 and 3 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

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