Answer
$\frac{5}{11}$
Work Step by Step
In order to simplify the expression to lowest terms, we need to cancel the common factors. Then, we multiply the numerators by each other and the denominators by each other.
$-\frac{7}{9}\times\frac{5}{11}\times-\frac{18}{14}$
=$-\frac{1}{9}\times\frac{5}{11}\times-\frac{18}{2}$
=$-\frac{1}{1}\times\frac{5}{11}\times-\frac{2}{2}$
=$-\frac{1}{1}\times\frac{5}{11}\times-\frac{1}{1}$
=$\frac{-1\times5\times-1}{1\times11\times1}$
=$\frac{5}{11}$