Solve =3/4(2/3)-7/5

$$= \frac { 3 } { 4 } ( \frac { 2 } { 3 } ) - \frac { 7 } { 5 }$$

Evaluate

$$-\frac{9}{10}=-0.9$$

Solution Steps

Multiply \frac{3}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}-\frac{7}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{7}{5} to fractions with denominator 10.

$$\frac{5}{10}-\frac{14}{10}$$

Since \frac{5}{10} and \frac{14}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-14}{10}$$

Subtract 14 from 5 to get -9.

$$-\frac{9}{10}$$

Factor

$$-\frac{9}{10} = -0.9$$