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

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

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{2}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{12}{30}-\frac{5}{30}+\frac{1}{2}$$

Since \frac{12}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{30}+\frac{1}{2}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{30}+\frac{1}{2}$$

Least common multiple of 30 and 2 is 30. Convert \frac{7}{30} and \frac{1}{2} to fractions with denominator 30.

$$\frac{7}{30}+\frac{15}{30}$$

Since \frac{7}{30} and \frac{15}{30} have the same denominator, add them by adding their numerators.

$$\frac{7+15}{30}$$

Add 7 and 15 to get 22.

$$\frac{22}{30}$$

Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$