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

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

Evaluate

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

Solution Steps

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

$$\frac{5}{15}+\frac{3}{15}+\frac{1}{2}$$

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

$$\frac{5+3}{15}+\frac{1}{2}$$

Add 5 and 3 to get 8.

$$\frac{8}{15}+\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{8}{15} and \frac{1}{2} to fractions with denominator 30.

$$\frac{16}{30}+\frac{15}{30}$$

Since \frac{16}{30} and \frac{15}{30} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{30}$$

Add 16 and 15 to get 31.

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

Factor

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