Answer
$\dfrac{5y}{7}$
Work Step by Step
Cancelling the common factor between the numerator and the denominator, the given expression, $
\dfrac{55xy}{77x}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{11x}\cdot5y}{\cancel{11x}\cdot7}
\\\\=
\dfrac{5y}{7}
\end{array}