Solve (3/8)(-7/6)(-2/5)

$$( \frac{ 3 }{ 8 } )(- \frac{ 7 }{ 6 } )(- \frac{ 2 }{ 5 } )$$

Evaluate

$$\frac{7}{40}=0.175$$

Solution Steps

Multiply \frac{3}{8} times -\frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-7\right)}{8\times 6}\left(-\frac{2}{5}\right)$$

Do the multiplications in the fraction \frac{3\left(-7\right)}{8\times 6}.

$$\frac{-21}{48}\left(-\frac{2}{5}\right)$$

Reduce the fraction \frac{-21}{48} to lowest terms by extracting and canceling out 3.

$$-\frac{7}{16}\left(-\frac{2}{5}\right)$$

Multiply -\frac{7}{16} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\left(-2\right)}{16\times 5}$$

Do the multiplications in the fraction \frac{-7\left(-2\right)}{16\times 5}.

$$\frac{14}{80}$$

Reduce the fraction \frac{14}{80} to lowest terms by extracting and canceling out 2.

$$\frac{7}{40}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 5} = 0.175$$