Solve (-4/9)*(-21/32)*(-3/14)

$$( - \frac { 4 } { 9 } ) \cdot ( - \frac { 21 } { 32 } ) \cdot ( - \frac { 3 } { 14 } )$$

Evaluate

$$-\frac{1}{16}=-0.0625$$

Solution Steps

Multiply -\frac{4}{9} times -\frac{21}{32} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-21\right)}{9\times 32}\left(-\frac{3}{14}\right)$$

Do the multiplications in the fraction \frac{-4\left(-21\right)}{9\times 32}.

$$\frac{84}{288}\left(-\frac{3}{14}\right)$$

Reduce the fraction \frac{84}{288} to lowest terms by extracting and canceling out 12.

$$\frac{7}{24}\left(-\frac{3}{14}\right)$$

Multiply \frac{7}{24} times -\frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-3\right)}{24\times 14}$$

Do the multiplications in the fraction \frac{7\left(-3\right)}{24\times 14}.

$$\frac{-21}{336}$$

Reduce the fraction \frac{-21}{336} to lowest terms by extracting and canceling out 21.

$$-\frac{1}{16}$$

Factor

$$-\frac{1}{16} = -0.0625$$