Solve 1/10+1/15+1/20

$$\frac { 1 } { 10 } + \frac { 1 } { 15 } + \frac { 1 } { 20 }$$

Evaluate

$$\frac{13}{60}\approx 0.216666667$$

Solution Steps

Least common multiple of 10 and 15 is 30. Convert \frac{1}{10} and \frac{1}{15} to fractions with denominator 30.

$$\frac{3}{30}+\frac{2}{30}+\frac{1}{20}$$

Since \frac{3}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{30}+\frac{1}{20}$$

Add 3 and 2 to get 5.

$$\frac{5}{30}+\frac{1}{20}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}+\frac{1}{20}$$

Least common multiple of 6 and 20 is 60. Convert \frac{1}{6} and \frac{1}{20} to fractions with denominator 60.

$$\frac{10}{60}+\frac{3}{60}$$

Since \frac{10}{60} and \frac{3}{60} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{60}$$

Add 10 and 3 to get 13.

$$\frac{13}{60}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3 \cdot 5} = 0.21666666666666667$$