<PRE><B>Question 1043253</B>
Hi there,
The numerator of a fraction is 7 less than the denominator.
Make denominator = x
(x - 7)/x
If one and one third is added to it, the fraction obtained is 14/9. 
(x - 7)/x + 4/3 = 14/9
Take lowest common denominator = 27x
[27(x - 7) + 9x(4) = 3x(14)]
[27x - 189 + 36x = 42x]
Collect like terms
27x + 36x - 42x = 189
21x = 189
x = 9
Original fraction =
(x - 7)/x
(9 -7)/9
2/9.
Proof:
2/9 + 4/3 = 14/9
Hope this helps :-)</PRE>