Solve (8/3)*(-3/10)*(4/5)

$$( \frac { 8 } { 3 } ) \times ( - \frac { 3 } { 10 } ) \times ( \frac { 4 } { 5 } )$$

Evaluate

$$-\frac{16}{25}=-0.64$$

Solution Steps

Multiply \frac{8}{3} times -\frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-3\right)}{3\times 10}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{8\left(-3\right)}{3\times 10}.

$$\frac{-24}{30}\times \frac{4}{5}$$

Reduce the fraction \frac{-24}{30} to lowest terms by extracting and canceling out 6.

$$-\frac{4}{5}\times \frac{4}{5}$$

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

$$\frac{-4\times 4}{5\times 5}$$

Do the multiplications in the fraction \frac{-4\times 4}{5\times 5}.

$$\frac{-16}{25}$$

Fraction \frac{-16}{25} can be rewritten as -\frac{16}{25} by extracting the negative sign.

$$-\frac{16}{25}$$

Factor

$$-\frac{16}{25} = -0.64$$