Solve 1/2+1/3+1/5

$$\frac { 1 } { 2 } + \frac { 1 } { 3 } + \frac { 1 } { 5 }$$

Evaluate

$$\frac{31}{30}\approx 1.033333333$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{2}{6}+\frac{1}{5}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}+\frac{1}{5}$$

Add 3 and 2 to get 5.

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

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

$$\frac{25}{30}+\frac{6}{30}$$

Since \frac{25}{30} and \frac{6}{30} have the same denominator, add them by adding their numerators.

$$\frac{25+6}{30}$$

Add 25 and 6 to get 31.

$$\frac{31}{30}$$

Factor

$$\frac{31}{2 \cdot 3 \cdot 5} = 1\frac{1}{30} = 1.0333333333333334$$