Solve 2/3(3/4-6/5)

$$\frac { 2 } { 3 } ( \frac { 3 } { 4 } - \frac { 6 } { 5 } )$$

Evaluate

$$-\frac{3}{10}=-0.3$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{6}{5} to fractions with denominator 20.

$$\frac{2}{3}\left(\frac{15}{20}-\frac{24}{20}\right)$$

Since \frac{15}{20} and \frac{24}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}\times \frac{15-24}{20}$$

Subtract 24 from 15 to get -9.

$$\frac{2}{3}\left(-\frac{9}{20}\right)$$

Multiply \frac{2}{3} times -\frac{9}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-9\right)}{3\times 20}$$

Do the multiplications in the fraction \frac{2\left(-9\right)}{3\times 20}.

$$\frac{-18}{60}$$

Reduce the fraction \frac{-18}{60} to lowest terms by extracting and canceling out 6.

$$-\frac{3}{10}$$

Factor

$$-\frac{3}{10} = -0.3$$