Solve (-3)*(2/-14)*(-3/12)*1/15

$$( - 3 ) \times ( \frac { 2 } { - 14 } ) \times ( \frac { - 3 } { 12 } ) \times \frac { 1 } { 15 }$$

Evaluate

$$-\frac{1}{140}\approx -0.007142857$$

Solution Steps

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

$$-3\left(-\frac{1}{7}\right)\times \frac{-3}{12}\times \frac{1}{15}$$

Express -3\left(-\frac{1}{7}\right) as a single fraction.

$$\frac{-3\left(-1\right)}{7}\times \frac{-3}{12}\times \frac{1}{15}$$

Multiply -3 and -1 to get 3.

$$\frac{3}{7}\times \frac{-3}{12}\times \frac{1}{15}$$

Reduce the fraction \frac{-3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{7}\left(-\frac{1}{4}\right)\times \frac{1}{15}$$

Multiply \frac{3}{7} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-1\right)}{7\times 4}\times \frac{1}{15}$$

Do the multiplications in the fraction \frac{3\left(-1\right)}{7\times 4}.

$$\frac{-3}{28}\times \frac{1}{15}$$

Fraction \frac{-3}{28} can be rewritten as -\frac{3}{28} by extracting the negative sign.

$$-\frac{3}{28}\times \frac{1}{15}$$

Multiply -\frac{3}{28} times \frac{1}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3}{28\times 15}$$

Do the multiplications in the fraction \frac{-3}{28\times 15}.

$$\frac{-3}{420}$$

Reduce the fraction \frac{-3}{420} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{140}$$

Factor

$$-\frac{1}{140} = -0.007142857142857143$$