Solve (3/8)(-4/3)(-1/7)=

$$( \frac { 3 } { 8 } ) ( - \frac { 4 } { 3 } ) ( - \frac { 1 } { 7 } ) =$$

Evaluate

$$\frac{1}{14}\approx 0.071428571$$

Solution Steps

Multiply \frac{3}{8} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-4\right)}{8\times 3}\left(-\frac{1}{7}\right)$$

Cancel out 3 in both numerator and denominator.

$$\frac{-4}{8}\left(-\frac{1}{7}\right)$$

Reduce the fraction \frac{-4}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{2}\left(-\frac{1}{7}\right)$$

Multiply -\frac{1}{2} times -\frac{1}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-1\right)}{2\times 7}$$

Do the multiplications in the fraction \frac{-\left(-1\right)}{2\times 7}.

$$\frac{1}{14}$$

Factor

$$\frac{1}{2 \cdot 7} = 0.07142857142857142$$