Solve 3/5*-2/9*8

$$\frac{ 3 }{ 5 } \times - \frac{ 2 }{ 9 } \times 8$$

Evaluate

$$-\frac{16}{15}\approx -1.066666667$$

Solution Steps

Multiply \frac{3}{5} times -\frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-2\right)}{5\times 9}\times 8$$

Do the multiplications in the fraction \frac{3\left(-2\right)}{5\times 9}.

$$\frac{-6}{45}\times 8$$

Reduce the fraction \frac{-6}{45} to lowest terms by extracting and canceling out 3.

$$-\frac{2}{15}\times 8$$

Express -\frac{2}{15}\times 8 as a single fraction.

$$\frac{-2\times 8}{15}$$

Multiply -2 and 8 to get -16.

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

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

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

Factor

$$-\frac{16}{15} = -1\frac{1}{15} = -1.0666666666666667$$