Solve (2/3-4/5)*15

$$( \frac{ 2 }{ 3 } - \frac{ 4 }{ 5 } ) \times 15$$

Evaluate

$$-2$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{4}{5} to fractions with denominator 15.

$$\left(\frac{10}{15}-\frac{12}{15}\right)\times 15$$

Since \frac{10}{15} and \frac{12}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-12}{15}\times 15$$

Subtract 12 from 10 to get -2.

$$-\frac{2}{15}\times 15$$

Cancel out 15 and 15.

$$-2$$

Factor

$$-2$$