Solve (-10/11)*(-1/9)*(18/5)

$$( - \frac { 10 } { 11 } ) \times ( - \frac { 1 } { 9 } ) \times ( \frac { 18 } { 5 } )$$

Evaluate

$$\frac{4}{11}\approx 0.363636364$$

Solution Steps

Multiply -\frac{10}{11} times -\frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\left(-1\right)}{11\times 9}\times \frac{18}{5}$$

Do the multiplications in the fraction \frac{-10\left(-1\right)}{11\times 9}.

$$\frac{10}{99}\times \frac{18}{5}$$

Multiply \frac{10}{99} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 18}{99\times 5}$$

Do the multiplications in the fraction \frac{10\times 18}{99\times 5}.

$$\frac{180}{495}$$

Reduce the fraction \frac{180}{495} to lowest terms by extracting and canceling out 45.

$$\frac{4}{11}$$

Factor

$$\frac{2 ^ {2}}{11} = 0.36363636363636365$$