Solve -3/10*(-4)*5/-7

$$\frac { - 3 } { 10 } \cdot ( - 4 ) \cdot \frac { 5 } { - 7 }$$

Evaluate

$$-\frac{6}{7}\approx -0.857142857$$

Solution Steps

Fraction \frac{-3}{10} can be rewritten as -\frac{3}{10} by extracting the negative sign.

$$-\frac{3}{10}\left(-4\right)\times \frac{5}{-7}$$

Express -\frac{3}{10}\left(-4\right) as a single fraction.

$$\frac{-3\left(-4\right)}{10}\times \frac{5}{-7}$$

Multiply -3 and -4 to get 12.

$$\frac{12}{10}\times \frac{5}{-7}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}\times \frac{5}{-7}$$

Fraction \frac{5}{-7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$\frac{6}{5}\left(-\frac{5}{7}\right)$$

Multiply \frac{6}{5} times -\frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{6\left(-5\right)}{5\times 7}.

$$\frac{-30}{35}$$

Reduce the fraction \frac{-30}{35} to lowest terms by extracting and canceling out 5.

$$-\frac{6}{7}$$

Factor

$$-\frac{6}{7} = -0.8571428571428571$$