Solve (-1/7)(-3/4)22/3*1/11

$$( - \frac { 1 } { 7 } ) ( - \frac { 3 } { 4 } ) \frac { 22 } { 3 } \cdot \frac { 1 } { 11 }$$

Evaluate

$$\frac{1}{14}\approx 0.071428571$$

Solution Steps

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

$$\frac{-\left(-3\right)}{7\times 4}\times \frac{22}{3}\times \frac{1}{11}$$

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

$$\frac{3}{28}\times \frac{22}{3}\times \frac{1}{11}$$

Multiply \frac{3}{28} times \frac{22}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 22}{28\times 3}\times \frac{1}{11}$$

Cancel out 3 in both numerator and denominator.

$$\frac{22}{28}\times \frac{1}{11}$$

Reduce the fraction \frac{22}{28} to lowest terms by extracting and canceling out 2.

$$\frac{11}{14}\times \frac{1}{11}$$

Multiply \frac{11}{14} times \frac{1}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 1}{14\times 11}$$

Cancel out 11 in both numerator and denominator.

$$\frac{1}{14}$$

Factor

$$\frac{1}{2 \cdot 7} = 0.07142857142857142$$