Question

The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its denominator, the fraction is decreased by$1\frac{1}{4}$. Find the value of the fraction.

• A. (1/6)
• B. 2(1/4)
• C. 3(1/4)
• D. 6
• E. None of these

Answer 1

The correct option is B

2(1/4)

Let the denominator be x. then, numerator = x+5.

Now, $\frac{x+5}{x}-\frac{x+5}{x+5}=\frac{5}{4}\iff \frac{x+5}{x}=\frac{5}{4}+1=\frac{9}{4}=2\frac{1}{4}$

So, the fraction is $2\frac{1}{4}$