Solve 3/4*(-5/6)*(-8/9)

$$\frac { 3 } { 4 } \times ( - \frac { 5 } { 6 } ) \times ( - \frac { 8 } { 9 } )$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Multiply \frac{3}{4} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-5\right)}{4\times 6}\left(-\frac{8}{9}\right)$$

Do the multiplications in the fraction \frac{3\left(-5\right)}{4\times 6}.

$$\frac{-15}{24}\left(-\frac{8}{9}\right)$$

Reduce the fraction \frac{-15}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{8}\left(-\frac{8}{9}\right)$$

Multiply -\frac{5}{8} times -\frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-8\right)}{8\times 9}$$

Do the multiplications in the fraction \frac{-5\left(-8\right)}{8\times 9}.

$$\frac{40}{72}$$

Reduce the fraction \frac{40}{72} to lowest terms by extracting and canceling out 8.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$