Solve 17*19*(9/17-8/19)

$$17 \times 19 \times ( \frac { 9 } { 17 } - \frac { 8 } { 19 } )$$

Evaluate

$$35$$

Solution Steps

Multiply 17 and 19 to get 323.

$$323\left(\frac{9}{17}-\frac{8}{19}\right)$$

Least common multiple of 17 and 19 is 323. Convert \frac{9}{17} and \frac{8}{19} to fractions with denominator 323.

$$323\left(\frac{171}{323}-\frac{136}{323}\right)$$

Since \frac{171}{323} and \frac{136}{323} have the same denominator, subtract them by subtracting their numerators.

$$323\times \frac{171-136}{323}$$

Subtract 136 from 171 to get 35.

$$323\times \frac{35}{323}$$

Cancel out 323 and 323.

$$35$$

Factor

$$5\times 7$$