SOLUTION: The given value of a fraction is 3/8. If 7 is added to the numerator & subtracted from the denominator, the value of the resulting fraction becomes 2/3.What is the original form o

Question 984760: The given value of a fraction is 3/8. If 7 is added to the numerator & subtracted from the denominator, the value of the resulting fraction becomes 2/3.What is the original form of the fraction?
Found 2 solutions by Fombitz, vleith:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Start with and multiply numerator and denominator by some non-zero integer, .
Then add and subtract 7 as noted.

So then,

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
You are told the original fraction is equal to
Let X be nonzero

You are then told that if 7 is added to the numerator & subtracted from the denominator, the value of the resulting fraction becomes 2/3.
So

So the original fraction was
RELATED QUESTIONS
The difference between the numerator and the denominator of a certain proper fraction is... (answered by stanbon)
The value of 7 times a fraction's denominator is added to both the numerator and the... (answered by ankor@dixie-net.com)
If 1 is subtracted from the numerator and denominator of a fraction, the value obtained... (answered by josgarithmetic)
a fraction has a value 3/4. if 4 is added to its numerator and 8 is subtracted from its... (answered by stanbon)
If 1 is added to the numerator of a certain fraction the value becomes one-third. But if... (answered by richwmiller)
in a certain fraction, the denominator is 4 less than twice the numerator. If 15 is added (answered by ankor@dixie-net.com)
in a certain fraction, the denominator is 4 less than twice the numerator. If 15 is added (answered by solver91311)
A fraction has a value of 3/4. If 4 is added to its numerator and 8 is subtracted to its... (answered by Theo,MathTherapy)
If the denominator of a fraction is added to its numerator and the numerator is... (answered by checkley71)