Solve 8/15-2/3+1/5

$$\frac { 8 } { 15 } - \frac { 2 } { 3 } + \frac { 1 } { 5 }$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Least common multiple of 15 and 3 is 15. Convert \frac{8}{15} and \frac{2}{3} to fractions with denominator 15.

$$\frac{8}{15}-\frac{10}{15}+\frac{1}{5}$$

Since \frac{8}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-10}{15}+\frac{1}{5}$$

Subtract 10 from 8 to get -2.

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

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

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

Since -\frac{2}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

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

Add -2 and 3 to get 1.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$