Answer
$\dfrac{9b}{22a}$
Work Step by Step
Cancelling the common factor in the numerator and the denominator, the given expression, $
\dfrac{9a^3b^3}{22a^4b^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{a^3b^2}\cdot9b}{\cancel{a^3b^2}\cdot22a}
\\\\=
\dfrac{9b}{22a}
.\end{array}
