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

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

Evaluate

$$\frac{37}{30}\approx 1.233333333$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{4}{10}+\frac{1}{3}$$

Since \frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{10}+\frac{1}{3}$$

Add 5 and 4 to get 9.

$$\frac{9}{10}+\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{9}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{27}{30}+\frac{10}{30}$$

Since \frac{27}{30} and \frac{10}{30} have the same denominator, add them by adding their numerators.

$$\frac{27+10}{30}$$

Add 27 and 10 to get 37.

$$\frac{37}{30}$$

Factor

$$\frac{37}{2 \cdot 3 \cdot 5} = 1\frac{7}{30} = 1.2333333333333334$$