Solve 1/5+1/6+1/6

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

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

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

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

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

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

Add 6 and 5 to get 11.

$$\frac{11}{30}+\frac{1}{6}$$

Least common multiple of 30 and 6 is 30. Convert \frac{11}{30} and \frac{1}{6} to fractions with denominator 30.

$$\frac{11}{30}+\frac{5}{30}$$

Since \frac{11}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{11+5}{30}$$

Add 11 and 5 to get 16.

$$\frac{16}{30}$$

Reduce the fraction \frac{16}{30} to lowest terms by extracting and canceling out 2.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$