Solve 8/9*(-6)*3/2

$$\frac { 8 } { 9 } \times ( - 6 ) \times \frac { 3 } { 2 }$$

Evaluate

$$-8$$

Solution Steps

Express \frac{8}{9}\left(-6\right) as a single fraction.

$$\frac{8\left(-6\right)}{9}\times \frac{3}{2}$$

Multiply 8 and -6 to get -48.

$$\frac{-48}{9}\times \frac{3}{2}$$

Reduce the fraction \frac{-48}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{16}{3}\times \frac{3}{2}$$

Multiply -\frac{16}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-16}{2}$$

Divide -16 by 2 to get -8.

$$-8$$

Factor

$$-8$$