The numerator of a fraction it 5 less than it's denominator. If 6 is added to the numerator and 4 to the denominator, the fraction is double. What is the fraction

Answer 1

Let x be the denominator of the fraction.
The numerator is x - 5.
After adding 6 to the numerator and 4 to the denominator, the new fraction becomes (x - 5 + 6)/(x + 4) = (x + 1)/(x + 4).
According to the problem, (x + 1)/(x + 4) = 2(x/(x + 4)).
Simplifying the equation, we get x + 1 = 2x.
Subtracting x from both sides of the equation, we get 1 = x.
Therefore, the denominator of the fraction is 1.
The numerator is 1 - 5 = -4.
So, the fraction is -4/1, which is equivalent to -4. Answer: \boxed{-4}.