Solve 1/5-2/7+3/5=

$$\frac { 1 } { 5 } - \frac { 2 } { 7 } + \frac { 3 } { 5 } =$$

Evaluate

$$\frac{18}{35}\approx 0.514285714$$

Solution Steps

Least common multiple of 5 and 7 is 35. Convert \frac{1}{5} and \frac{2}{7} to fractions with denominator 35.

$$\frac{7}{35}-\frac{10}{35}+\frac{3}{5}$$

Since \frac{7}{35} and \frac{10}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-10}{35}+\frac{3}{5}$$

Subtract 10 from 7 to get -3.

$$-\frac{3}{35}+\frac{3}{5}$$

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

$$-\frac{3}{35}+\frac{21}{35}$$

Since -\frac{3}{35} and \frac{21}{35} have the same denominator, add them by adding their numerators.

$$\frac{-3+21}{35}$$

Add -3 and 21 to get 18.

$$\frac{18}{35}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5 \cdot 7} = 0.5142857142857142$$