we have
[tex]\frac{(x+6)/12}{(x-8)/10}[/tex]
Remember that
The division is the inverse of the multiplication
so
[tex]\frac{(x+6)/12}{(x-8)/10}=\frac{x+6}{12} *\frac{10}{x-8}[/tex]
Simplify
[tex]\frac{x+6}{12} *\frac{10}{x-8}=\frac{5(x+6)}{6(x-8)}[/tex]
therefore
the answer is
[tex]\frac{5(x+6)}{6(x-8)}[/tex]