Solve (+15/7)(+21/3)(-14/10)(-9/7)=

$$( + \frac { 15 } { 7 } ) ( + \frac { 21 } { 3 } ) ( - \frac { 14 } { 10 } ) ( - \frac { 9 } { 7 } ) =$$

Evaluate

$$27$$

Solution Steps

Divide 21 by 3 to get 7.

$$\frac{15}{7}\times 7\left(-\frac{14}{10}\right)\left(-\frac{9}{7}\right)$$

Cancel out 7 and 7.

$$15\left(-\frac{14}{10}\right)\left(-\frac{9}{7}\right)$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$15\left(-\frac{7}{5}\right)\left(-\frac{9}{7}\right)$$

Express 15\left(-\frac{7}{5}\right) as a single fraction.

$$\frac{15\left(-7\right)}{5}\left(-\frac{9}{7}\right)$$

Multiply 15 and -7 to get -105.

$$\frac{-105}{5}\left(-\frac{9}{7}\right)$$

Divide -105 by 5 to get -21.

$$-21\left(-\frac{9}{7}\right)$$

Express -21\left(-\frac{9}{7}\right) as a single fraction.

$$\frac{-21\left(-9\right)}{7}$$

Multiply -21 and -9 to get 189.

$$\frac{189}{7}$$

Divide 189 by 7 to get 27.

$$27$$

Factor

$$3^{3}$$