Answer
$\dfrac{35}{27}$
Work Step by Step
First, cancel the common factors to obtain:
$\require{cancel}
\\=\dfrac{5\cancel{x}}{9\cancel{y}} \cdot \dfrac{7\cancel{y}}{3\cancel{x}}
\\=\dfrac{5}{9} \cdot \dfrac{7}{3}$
Multiply the numerators by each other and the denominators by each other to obtain:
$=\dfrac{35}{27}$