Solve (2/3+1/5-1/2)

$$( \frac { 2 } { 3 } + \frac { 1 } { 5 } - \frac { 1 } { 2 } )$$

Evaluate

$$\frac{11}{30}\approx 0.366666667$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{10}{15}+\frac{3}{15}-\frac{1}{2}$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{15}-\frac{1}{2}$$

Add 10 and 3 to get 13.

$$\frac{13}{15}-\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{13}{15} and \frac{1}{2} to fractions with denominator 30.

$$\frac{26}{30}-\frac{15}{30}$$

Since \frac{26}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-15}{30}$$

Subtract 15 from 26 to get 11.

$$\frac{11}{30}$$

Factor

$$\frac{11}{2 \cdot 3 \cdot 5} = 0.36666666666666664$$