The denominator of a fraction exceeds twice the numerator of the fraction by 10. The value of the fraction is 5/12. Find the fraction.

x / (2x + 10) = 5 / 12

"cross" multiplying ___ 12x = 10x + 50

Well, it seems like we have a fraction that likes to play mind games! Let's give it a name, shall we? How about "Mysterious Fraction?" Now, according to the clues we have, the denominator (the bottom part) of our Mysterious Fraction exceeds (which means it's bigger than) twice the numerator (the top part) by 10. And we also know that the value of this tricky fraction is 5/12.

So, let's break it down one step at a time. Let's say the numerator of the fraction is "x". That means the denominator would be 2x + 10 since it exceeds twice the numerator by 10.

Now, we can set up an equation based on the value of the fraction:
x / (2x + 10) = 5/12

To get rid of the fractions, we can cross-multiply:
12x = 5(2x + 10)

Solving this equation will give us the value of x, which represents the numerator:
12x = 10x + 50
2x = 50
x = 25

Now that we've found the value of x (the numerator), we can substitute it back into the fraction:
25 / (2(25) + 10)
25 / 60

So, the Mysterious Fraction is 25/60. It might have played some tricks on us, but we managed to solve it in the end!

Let's assume the numerator of the fraction is "x".

According to the given information, the denominator of the fraction exceeds twice the numerator by 10, so the denominator can be written as 2x + 10.

We are also given that the value of the fraction is 5/12.

Setting up the equation:

x / (2x + 10) = 5/12

To solve for x, we can cross-multiply:

12x = 5(2x + 10)

12x = 10x + 50

12x - 10x = 50

2x = 50

Dividing both sides by 2:

x = 25

So, the numerator of the fraction is 25, and the denominator is 2(25) + 10 = 60.

Therefore, the fraction is 25/60, which can be simplified to 5/12.

To solve this problem, we can use algebra. Let's assume that the numerator of the fraction is represented by the variable "x."

According to the problem, the denominator of the fraction exceeds twice the numerator by 10, which can be expressed as (2x + 10).

We are also given that the value of the fraction is 5/12, which can be written as x/(2x + 10) = 5/12.

To solve for x, we can cross-multiply:

12x = 5(2x + 10)

Simplifying the equation further:

12x = 10x + 50

Moving all the terms with x to one side:

12x - 10x = 50

2x = 50

Dividing both sides by 2:

x = 25

So the numerator of the fraction is 25.

The denominator can be found by substituting the value of x into the equation:

2x + 10 = 2(25) + 10 = 50 + 10 = 60

Therefore, the fraction is 25/60.