Final answer:
The value of the new fraction created by adding 1 to the numerator and subtracting 1 from the denominator of an original fraction with a ratio of 2:3 (2x/3x) is (2x+1)/(3x-1), which cannot be determined without additional information.
Step-by-step explanation:
The question pertains to finding the value of a fraction when the numerator is increased by one and the denominator is decreased by one, given that the original fraction's numerator and denominator are in the ratio 2:3. To tackle this, let us denote the original numerator as 2x and the original denominator as 3x, maintaining the 2:3 ratio. When we increase the numerator by 1 and decrease the denominator by 1, the new fraction becomes (2x+1)/(3x-1).
Unfortunately, without additional information, we cannot determine the exact value of the new fraction. However, we can state that the fraction is altered based on the change in the numerator and denominator of the function. Identifying the original fraction requires more information about the numerator or denominator, or the value of the new fraction after the changes.