Solve -2/-5*-8/3*2

$$\frac { - 2 } { - 5 } \cdot \frac { - 8 } { 3 } \cdot 2$$

Evaluate

$$-\frac{32}{15}\approx -2.133333333$$

Solution Steps

Fraction \frac{-2}{-5} can be simplified to \frac{2}{5} by removing the negative sign from both the numerator and the denominator.

$$\frac{2}{5}\times \frac{-8}{3}\times 2$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$\frac{2}{5}\left(-\frac{8}{3}\right)\times 2$$

Multiply \frac{2}{5} times -\frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-8\right)}{5\times 3}\times 2$$

Do the multiplications in the fraction \frac{2\left(-8\right)}{5\times 3}.

$$\frac{-16}{15}\times 2$$

Fraction \frac{-16}{15} can be rewritten as -\frac{16}{15} by extracting the negative sign.

$$-\frac{16}{15}\times 2$$

Express -\frac{16}{15}\times 2 as a single fraction.

$$\frac{-16\times 2}{15}$$

Multiply -16 and 2 to get -32.

$$\frac{-32}{15}$$

Fraction \frac{-32}{15} can be rewritten as -\frac{32}{15} by extracting the negative sign.

$$-\frac{32}{15}$$

Factor

$$-\frac{32}{15} = -2\frac{2}{15} = -2.1333333333333333$$