Solve 2/7-3/5+2/5

$$\frac { 2 } { 7 } - \frac { 3 } { 5 } + \frac { 2 } { 5 }$$

Evaluate

$$\frac{3}{35}\approx 0.085714286$$

Solution Steps

Least common multiple of 7 and 5 is 35. Convert \frac{2}{7} and \frac{3}{5} to fractions with denominator 35.

$$\frac{10}{35}-\frac{21}{35}+\frac{2}{5}$$

Since \frac{10}{35} and \frac{21}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-21}{35}+\frac{2}{5}$$

Subtract 21 from 10 to get -11.

$$-\frac{11}{35}+\frac{2}{5}$$

Least common multiple of 35 and 5 is 35. Convert -\frac{11}{35} and \frac{2}{5} to fractions with denominator 35.

$$-\frac{11}{35}+\frac{14}{35}$$

Since -\frac{11}{35} and \frac{14}{35} have the same denominator, add them by adding their numerators.

$$\frac{-11+14}{35}$$

Add -11 and 14 to get 3.

$$\frac{3}{35}$$

Factor

$$\frac{3}{5 \cdot 7} = 0.08571428571428572$$