The numerator of a fraction is less than its denominator is increased by 9 and the numerator by 2,the fraction bcms two-third.find d fractn.

Ans is 26/33

n = d-1,

(n+2)/(d+9) = 2/3

the fraction is 14/15 or 16/18 or 18/21 or 20/24 or . . .

depending on the value missing from the problem stated above.

Ok thank u

To solve this problem, we need to set up and solve an equation based on the given information.

Let's assume the fraction is represented by the numerator "x" and the denominator "y."

According to the problem, the numerator is less than the denominator:

x < y

If we increase the numerator by 9 and the denominator by 2, the resulting fraction becomes two-thirds:

(x + 9) / (y + 2) = 2/3

To find the values of x and y, we need to solve this equation.

First, let's simplify the equation by cross-multiplying:

3(x + 9) = 2(y + 2)

Expanding both sides of the equation:

3x + 27 = 2y + 4

Next, let's isolate the variable "y" by subtracting 2 from both sides:

3x + 27 - 4 = 2y

3x + 23 = 2y

Finally, we can divide both sides by 2 to solve for y:

(3x + 23) / 2 = y

Now that we have the value of y, we can substitute it back into the original equation to find x. According to the problem, the fraction is in its simplest form, so we can assume there is no common factor between x and y.

The simplified fraction is 26/33, which means:

x = 26
y = 33

Therefore, the fraction is 26/33.