The step by step simplification of the given expression is given below:
[tex] \frac{ \frac{3 x^{5} y^{3} }{ 10n^{4} } }{ \frac{ 9x^{2}y }{ 5mn^{3} } } \\ \\
= \frac{3 x^{5} y^{3} }{10 n^{4} } * \frac{5m n^{3}}{9 x^{2} y } \\ \\
= \frac{ x^{3} y^{2} }{2n}* \frac{m}{3} \\ \\
= \frac{ x^{3} y^{2}m }{6n} [/tex]
