Solve (+1/7)+(-5/7)+(+3/5)+(-1/35)

$$( + \frac { 1 } { 7 } ) + ( - \frac { 5 } { 7 } ) + ( + \frac { 3 } { 5 } ) + ( - \frac { 1 } { 35 } )$$

Evaluate

$$0$$

Solution Steps

Since \frac{1}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-5}{7}+\frac{3}{5}-\frac{1}{35}$$

Subtract 5 from 1 to get -4.

$$-\frac{4}{7}+\frac{3}{5}-\frac{1}{35}$$

Least common multiple of 7 and 5 is 35. Convert -\frac{4}{7} and \frac{3}{5} to fractions with denominator 35.

$$-\frac{20}{35}+\frac{21}{35}-\frac{1}{35}$$

Since -\frac{20}{35} and \frac{21}{35} have the same denominator, add them by adding their numerators.

$$\frac{-20+21}{35}-\frac{1}{35}$$

Add -20 and 21 to get 1.

$$\frac{1}{35}-\frac{1}{35}$$

Subtract \frac{1}{35} from \frac{1}{35} to get 0.

$$0$$

Factor

$$0$$