SOLUTION: If 1 is added to the denominator of a fraction, the fraction becomes-1. If 1 is.added to the numerator, the fraction becomes 1. The sum of numerator and denominator of the fraction

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Question 1085577: If 1 is added to the denominator of a fraction, the fraction becomes-1. If 1 is.added to the numerator, the fraction becomes 1. The sum of numerator and denominator of the fraction
Found 2 solutions by math_helper, Fombitz:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

There is no defined solution.
If you start with a/b as your fraction, you will end up with a=-1 and b=0 so the part about adding 1 to the numerator to get 1 results in division by zero.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the fraction be A%2FB.
So then,
A%2F%28B%2B1%29=-1
A=-B-1
1.A%2BB=-1
and
%28A%2B1%29%2FB=1
A%2B1=B
2.A-B=-1
Add 1 and 2,
A%2BB%2BA-B=-1-1
2A=-2
A=-1
Now use either equation to solve for B.
-1%2BB=-1
B=0
So your fraction is an inappropriate fraction, -1%2F0, since division by zero is not allowed.
I leave it to you to solve for the sum of the numerator and denominator.