Solve -8/9*5/16*(-12/25)

$$- \frac { 8 } { 9 } \cdot \frac { 5 } { 16 } \cdot ( - \frac { 12 } { 25 } )$$

Evaluate

$$\frac{2}{15}\approx 0.133333333$$

Solution Steps

Multiply -\frac{8}{9} times \frac{5}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\times 5}{9\times 16}\left(-\frac{12}{25}\right)$$

Do the multiplications in the fraction \frac{-8\times 5}{9\times 16}.

$$\frac{-40}{144}\left(-\frac{12}{25}\right)$$

Reduce the fraction \frac{-40}{144} to lowest terms by extracting and canceling out 8.

$$-\frac{5}{18}\left(-\frac{12}{25}\right)$$

Multiply -\frac{5}{18} times -\frac{12}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-12\right)}{18\times 25}$$

Do the multiplications in the fraction \frac{-5\left(-12\right)}{18\times 25}.

$$\frac{60}{450}$$

Reduce the fraction \frac{60}{450} to lowest terms by extracting and canceling out 30.

$$\frac{2}{15}$$

Factor

$$\frac{2}{3 \cdot 5} = 0.13333333333333333$$