Answer:
-7
Step-by-step explanation:
The numerator of a fraction is 1 more than twice its denominator.
Let the denominator=x
Therefore, the numerator=2x+1
The fraction is: [tex]\dfrac{2x+1}{x}[/tex]
If 4 is added to both the numerator and the denominator, the fraction reduces to 3.
Therefore:
[tex]\dfrac{2x+1+4}{x+4} =3[/tex]
First, we solve for x
[tex]\dfrac{2x+5}{x+4} =3[/tex]
Cross multiply
2x+5=3(x+4)
Open the bracket on the right-hand side
2x+5=3x+12
Collect like terms
3x-2x=5-12
x=-7
Therefore, the denominator of the fraction, x=-7
