The denominator of a fraction is 3 more than the numerator .if 5 added to both parts the resulting fraction is equivalent 4/5 .Find the fraction.
(x+5)/(x+3+5) = 4/5
Solve for x.
To solve this problem, we need to set up an equation based on the given information.
Let's start by assuming that the numerator of the fraction is represented by the variable "x".
According to the problem, the denominator is 3 more than the numerator, so it can be represented by "x + 3".
The original fraction can be written as x / (x + 3).
The problem also states that if 5 is added to both the numerator and the denominator, the resulting fraction is equivalent to 4/5. This can be written as (x + 5) / (x + 3 + 5) = 4/5.
Simplifying this equation, we have:
(x + 5) / (x + 8) = 4/5.
To solve for x, we can cross-multiply:
5(x + 5) = 4(x + 8).
Expanding and simplifying:
5x + 25 = 4x + 32.
Bringing like terms to one side, we get:
5x - 4x = 32 - 25,
x = 7.
Now that we have found the value of x, we can substitute it back into the original fraction x / (x + 3):
7 / (7 + 3) = 7 / 10.
Therefore, the fraction is 7/10.