Simplify ((3x)/(x-5))/(4/(x+4))

3xx-54x+4
Multiply the numerator by the reciprocal of the denominator.
3xx-5⋅x+44
Multiply 3xx-5 and x+44.
3x(x+4)(x-5)⋅4
Move 4 to the left of x-5.
3x(x+4)4(x-5)
Simplify ((3x)/(x-5))/(4/(x+4))