Question 28256
Let the fraction be {{{x/y}}}.


We know that y = 3x-9


We also know that {{{x/y = 3/8}}}, or 8x = 3y


So we have 2 equations:
3y=8x
y = 3x-9 --> multiply this by 3, to scale it up:


3y=8x
3y=9x-27


Subtracting the 2 equations gives us
0 = -x+27
so x=27


since x/y is of form 3/8 and we know that x is actually 27, we need to scale the 3 upto 27 (ie multiply by 9), so the 8 needs to be 8*9 --> 72


The fraction is 27/72.


CHECK: 27*3 = 81
and 81 less 9 is 72... correct.


jon.