Solve 3/4*(-5/6)*(-8/9)*2.4

$$\frac { 3 } { 4 } \times ( - \frac { 5 } { 6 } ) \times ( - \frac { 8 } { 9 } ) \times 2.4$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

$$\frac{3\left(-5\right)}{4\times 6}\left(-\frac{8}{9}\right)\times 2.4$$

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

$$\frac{-15}{24}\left(-\frac{8}{9}\right)\times 2.4$$

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

$$-\frac{5}{8}\left(-\frac{8}{9}\right)\times 2.4$$

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

$$\frac{-5\left(-8\right)}{8\times 9}\times 2.4$$

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

$$\frac{40}{72}\times 2.4$$

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

$$\frac{5}{9}\times 2.4$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{9}\times \frac{12}{5}$$

Multiply \frac{5}{9} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 12}{9\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{12}{9}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$