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

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

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{3}{15}+\frac{5}{15}+\frac{1}{6}$$

Since \frac{3}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{15}+\frac{1}{6}$$

Add 3 and 5 to get 8.

$$\frac{8}{15}+\frac{1}{6}$$

Least common multiple of 15 and 6 is 30. Convert \frac{8}{15} and \frac{1}{6} to fractions with denominator 30.

$$\frac{16}{30}+\frac{5}{30}$$

Since \frac{16}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{30}$$

Add 16 and 5 to get 21.

$$\frac{21}{30}$$

Reduce the fraction \frac{21}{30} to lowest terms by extracting and canceling out 3.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$