Answer: [tex] \frac{3n - 8}{4n^{2} } [/tex]
Explanation:
First you need to factor out the GCF (greatest common factor) of the numbers, which is 8n.
[tex] \frac{24n^{2} - 64 n}{32n^{3} } = \frac{8n(3n - 8)}{8n(4n^{2}) }[/tex]
The GCF cancels out on top and bottom so it becomes:
[tex]\frac{3n - 8}{4n^{2}}[/tex]