Solve 3/7-2/5+4/7-3/5

$$\frac { 3 } { 7 } - \frac { 2 } { 5 } + \frac { 4 } { 7 } - \frac { 3 } { 5 }$$

Evaluate

$$0$$

Solution Steps

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

$$\frac{15}{35}-\frac{14}{35}+\frac{4}{7}-\frac{3}{5}$$

Since \frac{15}{35} and \frac{14}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-14}{35}+\frac{4}{7}-\frac{3}{5}$$

Subtract 14 from 15 to get 1.

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

Least common multiple of 35 and 7 is 35. Convert \frac{1}{35} and \frac{4}{7} to fractions with denominator 35.

$$\frac{1}{35}+\frac{20}{35}-\frac{3}{5}$$

Since \frac{1}{35} and \frac{20}{35} have the same denominator, add them by adding their numerators.

$$\frac{1+20}{35}-\frac{3}{5}$$

Add 1 and 20 to get 21.

$$\frac{21}{35}-\frac{3}{5}$$

Reduce the fraction \frac{21}{35} to lowest terms by extracting and canceling out 7.

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

Subtract \frac{3}{5} from \frac{3}{5} to get 0.

$$0$$

Factor

$$0$$