SOLUTION: the denomonator of a fraction is is 3 times the numerator. If 8 is added to the numerator and 6 is subtracted from the denomonater then the value is 8/9. Find the original fracti

Question 122942: the denomonator of a fraction is is 3 times the numerator. If 8 is added to the numerator and 6 is subtracted from the denomonater then the value is 8/9. Find the original fraction. This is what Ive tried...

8-8=0 and 9+6=15 so i thought the answer was 0/15...?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
he denominator of a fraction is is 3 times the numerator. If 8 is added to the numerator and 6 is subtracted from the denominator then the value is 8/9. Find the original fraction.
:
Quite frankly, I am not sure what you are doing, but here is how I would do it
:
Let x = numerator:
It says'"the denominator of a fraction is is 3 times the numerator." therefore:
3x = denominator
Our fraction:

Then it says,
" If 8 is added to the numerator and 6 is subtracted from the denominator then the value is 8/9." so we can write:
=
Cross multiply and we have:
:
8(3x-6) = 9(x+8)
:
Do some basic algebra here:
24x - 48 = 9x + 72
:
24x - 9x = 72 + 48
:
15x = 120
x =
x = 8
:
Our original fraction:
:
:
Check solution in the statement
"If 8 is added to the numerator and 6 is subtracted from the denominator then the value is 8/9."
:
= =
:
:
How about this? Did I makes sense to you here?

RELATED QUESTIONS
If the denominator of a fraction is added to its numerator and the numerator is... (answered by checkley71)

If the denominator of a fraction is added to its numerator and the numerator is... (answered by stanbon)

Denominator of fraction is 6 more then the numerator. If one is added to numerator and 3... (answered by Boreal)

A denominator is 3 times the numerator of a fraction. If 4 is added to the denominator... (answered by checkley71)

The denominator of a certain fraction is six times the numerator. If 3 is added to the... (answered by oberobic)

If the denominator of a fraction is added to its numerator and the numerator is... (answered by checkley71)

the numerator of a fraction is 8 less than the denominator. If 1 is added to the... (answered by ewatrrr)

The difference between the numerator and the denominator of a certain proper fraction is... (answered by stanbon)