Respuesta :

Answer:

[tex]\frac{1}{x+4}[/tex]

Step-by-step explanation:

because you want to do [tex]\frac{x}{x+4}[/tex] divided by 4 which would end up being [tex]\frac{x}{x(x+4)}[/tex] then you cancel out the x and you are left with [tex]\frac{1}{x+4}[/tex]

For this case we must find an expression equivalent to:

[tex]\frac {\frac {x} {x + 4}} {x}[/tex]

Applying double C we have:

[tex]\frac {x} {x (x + 4)} =[/tex]

We simplify common terms of the numerator and denominator:

[tex]\frac {1} {x + 4}[/tex]

Finally we have:

[tex]\frac {1} {x + 4}[/tex]

Answer:

[tex]\frac {1} {x + 4}[/tex]