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

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

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

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

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

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

Subtract 3 from 4 to get 1.

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

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

$$\frac{1}{6}+\frac{10}{6}$$

Since \frac{1}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+10}{6}$$

Add 1 and 10 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$