Solve (-4/5)*(-3/8)*11/3

$$( - \frac { 4 } { 5 } ) \cdot ( - \frac { 3 } { 8 } ) \cdot 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply -\frac{4}{5} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-3\right)}{5\times 8}\times \frac{1\times 3+1}{3}$$

Do the multiplications in the fraction \frac{-4\left(-3\right)}{5\times 8}.

$$\frac{12}{40}\times \frac{1\times 3+1}{3}$$

Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.

$$\frac{3}{10}\times \frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{3}{10}\times \frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{3}{10}\times \frac{4}{3}$$

Multiply \frac{3}{10} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{10\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$