Solve 12/7*(-3/4)*5/12*5/6

$$\frac { 12 } { 7 } \times ( - \frac { 3 } { 4 } ) \times \frac { 5 } { 12 } \times \frac { 5 } { 6 }$$

Evaluate

$$-\frac{25}{56}\approx -0.446428571$$

Solution Steps

Multiply \frac{12}{7} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\left(-3\right)}{7\times 4}\times \frac{5}{12}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{12\left(-3\right)}{7\times 4}.

$$\frac{-36}{28}\times \frac{5}{12}\times \frac{5}{6}$$

Reduce the fraction \frac{-36}{28} to lowest terms by extracting and canceling out 4.

$$-\frac{9}{7}\times \frac{5}{12}\times \frac{5}{6}$$

Multiply -\frac{9}{7} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\times 5}{7\times 12}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{-9\times 5}{7\times 12}.

$$\frac{-45}{84}\times \frac{5}{6}$$

Reduce the fraction \frac{-45}{84} to lowest terms by extracting and canceling out 3.

$$-\frac{15}{28}\times \frac{5}{6}$$

Multiply -\frac{15}{28} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-15\times 5}{28\times 6}$$

Do the multiplications in the fraction \frac{-15\times 5}{28\times 6}.

$$\frac{-75}{168}$$

Reduce the fraction \frac{-75}{168} to lowest terms by extracting and canceling out 3.

$$-\frac{25}{56}$$

Factor

$$-\frac{25}{56} = -0.44642857142857145$$