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

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

Evaluate

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

Solution Steps

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

$$\frac{5}{30}+\frac{6}{30}-\frac{1}{3}$$

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

$$\frac{5+6}{30}-\frac{1}{3}$$

Add 5 and 6 to get 11.

$$\frac{11}{30}-\frac{1}{3}$$

Least common multiple of 30 and 3 is 30. Convert \frac{11}{30} and \frac{1}{3} to fractions with denominator 30.

$$\frac{11}{30}-\frac{10}{30}$$

Since \frac{11}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-10}{30}$$

Subtract 10 from 11 to get 1.

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

Factor

$$\frac{1}{2 \cdot 3 \cdot 5} = 0.03333333333333333$$