Solve (2/5-1/7)*35*1/9

$$( \frac { 2 } { 5 } - \frac { 1 } { 7 } ) \times 35 \times \frac { 1 } { 9 }$$

Evaluate

$$1$$

Solution Steps

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

$$\left(\frac{14}{35}-\frac{5}{35}\right)\times 35\times \frac{1}{9}$$

Since \frac{14}{35} and \frac{5}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-5}{35}\times 35\times \frac{1}{9}$$

Subtract 5 from 14 to get 9.

$$\frac{9}{35}\times 35\times \frac{1}{9}$$

Cancel out 35 and 35.

$$9\times \frac{1}{9}$$

Cancel out 9 and 9.

$$1$$

Factor

$$1$$