Solve 1/10+1/15+1/30

$$\frac { 1 } { 10 } + \frac { 1 } { 15 } + \frac { 1 } { 30 }$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

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

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

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

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

Add 3 and 2 to get 5.

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

Since \frac{5}{30} and \frac{1}{30} have the same denominator, add them by adding their numerators.

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

Add 5 and 1 to get 6.

$$\frac{6}{30}$$

Reduce the fraction \frac{6}{30} to lowest terms by extracting and canceling out 6.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$