Question

(g+9)/(g-3) ÷ (3g+27)/(g-5). The answer I got is 1/g(3g-24)+45. Is this correct?

Answer 1

I got (g-5)/3(g-3)

Answer 2

it should be that times (g+9)/(g-3)
which is(g-5)(g+9)/[3(g-3)^2]
you could foil it out but I don't see much to simplify...

Answer 3

LOL, boy this is confusing....

Answer 4

start with
\[\frac{g+9}{g-3}\times \frac{g-5}{3g+27}\] and then look to factor as much as you can

Answer 5

exactly

Answer 6

not much to factor really, just get
\[\frac{g+9}{g-3}\times \frac{g-5}{3(g+9)}=\frac{\cancel{g+9}}{g-3}\times \frac{g-5}{3\cancel{g+9}}=\frac{g-5}{3(g-3)}\]

Answer 7

So what exactly does that translate to because I am confused.

Answer 8

(g-5)/(g-3) or (g-5)(g+9)/3(g-3)^2...either one looks like it could be right.

Answer 9

satellite was right and did it the simplest way. I think I made a mistake.

Answer 10

oh yeah, I should have gotten (g-5)(g+9)/[3(g+9)(g-3)] which simplifies to (g-5)/[3(g-3)]