Solve 1/2-1/5+1/3=

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

Evaluate

$$\frac{19}{30}\approx 0.633333333$$

Solution Steps

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

$$\frac{5}{10}-\frac{2}{10}+\frac{1}{3}$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{10}+\frac{1}{3}$$

Subtract 2 from 5 to get 3.

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

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

$$\frac{9}{30}+\frac{10}{30}$$

Since \frac{9}{30} and \frac{10}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{30}$$

Add 9 and 10 to get 19.

$$\frac{19}{30}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$