Solve (-3/7)*0.125*(-21/3)*(-8)

$$( - \frac { 3 } { 7 } ) \times 0.125 \times ( - 2 \frac { 1 } { 3 } ) \times ( - 8 )$$

Evaluate

$$-1$$

Solution Steps

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$-\frac{3}{7}\times \frac{1}{8}\left(-\frac{2\times 3+1}{3}\right)\left(-8\right)$$

Multiply -\frac{3}{7} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3}{7\times 8}\left(-\frac{2\times 3+1}{3}\right)\left(-8\right)$$

Do the multiplications in the fraction \frac{-3}{7\times 8}.

$$\frac{-3}{56}\left(-\frac{2\times 3+1}{3}\right)\left(-8\right)$$

Fraction \frac{-3}{56} can be rewritten as -\frac{3}{56} by extracting the negative sign.

$$-\frac{3}{56}\left(-\frac{2\times 3+1}{3}\right)\left(-8\right)$$

Multiply 2 and 3 to get 6.

$$-\frac{3}{56}\left(-\frac{6+1}{3}\right)\left(-8\right)$$

Add 6 and 1 to get 7.

$$-\frac{3}{56}\left(-\frac{7}{3}\right)\left(-8\right)$$

Multiply -\frac{3}{56} times -\frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-7\right)}{56\times 3}\left(-8\right)$$

Do the multiplications in the fraction \frac{-3\left(-7\right)}{56\times 3}.

$$\frac{21}{168}\left(-8\right)$$

Reduce the fraction \frac{21}{168} to lowest terms by extracting and canceling out 21.

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

Multiply \frac{1}{8} and -8 to get \frac{-8}{8}.

$$\frac{-8}{8}$$

Divide -8 by 8 to get -1.

$$-1$$

Factor

$$-1$$