Final answer:
To find the fraction, let's use the information given in the question. The denominator of the fraction is one more than thrice the numerator. The difference between the reciprocal of the fraction is 15 ÷ 4. We can solve the equation to find the value of x and then substitute it back into the expression to find the fraction.
Step-by-step explanation:
To find the fraction, let's use the information given in the question. The denominational (denominator) of the fraction is one more than thrice the numerator. Let's represent the numerator as x. Therefore, the denominator is 3x + 1.
The difference between the reciprocal of the fraction and its value is 15 ÷ 4. The reciprocal of a fraction is obtained by interchanging the numerator and the denominator. So, the reciprocal of the fraction is (3x + 1)/x.
According to the question, (3x + 1)/x - x/(3x + 1) = 15/4. Now, we can solve this equation to find the value of x and then substitute it back into the expression to find the fraction.