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

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

Evaluate

$$-\frac{1}{30}\approx -0.033333333$$

Solution Steps

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

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

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

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

Subtract 2 from 3 to get 1.

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

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

$$\frac{5}{30}-\frac{6}{30}$$

Since \frac{5}{30} and \frac{6}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-6}{30}$$

Subtract 6 from 5 to get -1.

$$-\frac{1}{30}$$

Factor

$$-\frac{1}{30} = -0.03333333333333333$$