Which of the following is the quotient of the rational expression 5/x-2 divided by x/x+1?

Question

phi · Answer

remember dividing by $ \frac{x}{x+1} $  is the same as multiplying by
$ \frac{x+1} {x}$

anonymous · Answer

@phi then I just get rid of the x/x+1?

phi · Answer

the first step is write down your problem, using the idea posted up above.
what do you get ?

anonymous · Answer

$$\frac{ 5 }{ x-2}/\frac{ x}{ x+1 }$$

phi · Answer

that shows  division.  now change the divide to multiply:
flip the 2nd fraction,  and multiply

$$ \frac{5}{x-2} \cdot \frac{x+1}{x} $$

now multiply top times top, and bottom times bottom