Solve -5/12*8/15*1/2*(-2/3)

$$- \frac{ 5 }{ 12 } \times \frac{ 8 }{ 15 } \times \frac{ 1 }{ 2 } \times (- \frac{ 2 }{ 3 } )$$

Evaluate

$$\frac{2}{27}\approx 0.074074074$$

Solution Steps

Multiply -\frac{5}{12} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 8}{12\times 15}\times \frac{1}{2}\left(-\frac{2}{3}\right)$$

Do the multiplications in the fraction \frac{-5\times 8}{12\times 15}.

$$\frac{-40}{180}\times \frac{1}{2}\left(-\frac{2}{3}\right)$$

Reduce the fraction \frac{-40}{180} to lowest terms by extracting and canceling out 20.

$$-\frac{2}{9}\times \frac{1}{2}\left(-\frac{2}{3}\right)$$

Multiply -\frac{2}{9} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-2}{9\times 2}.

$$\frac{-2}{18}\left(-\frac{2}{3}\right)$$

Reduce the fraction \frac{-2}{18} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{9}\left(-\frac{2}{3}\right)$$

Multiply -\frac{1}{9} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

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

$$\frac{2}{27}$$

Factor

$$\frac{2}{3 ^ {3}} = 0.07407407407407407$$