Solve 2/3+1/2-5/6=

$$\frac { 2 } { 3 } + \frac { 1 } { 2 } - \frac { 5 } { 6 } =$$

Evaluate

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

Solution Steps

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

$$\frac{4}{6}+\frac{3}{6}-\frac{5}{6}$$

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

$$\frac{4+3}{6}-\frac{5}{6}$$

Add 4 and 3 to get 7.

$$\frac{7}{6}-\frac{5}{6}$$

Since \frac{7}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-5}{6}$$

Subtract 5 from 7 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

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