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. $$\frac{1}{6}$$
B. $$2\frac{1}{4}$$
C. $$3\frac{1}{4}$$
D. $$6$$
Answer: Option B
Solution(By Examveda Team)
Let the denominator be xThen, numerator = x + 5
Now,
$$\eqalign{ & \Leftrightarrow \frac{{x + 5}}{x} - \frac{{x + 5}}{{x + 5}} = \frac{5}{4} \cr & \Leftrightarrow \frac{{x + 5}}{x} = \frac{5}{4} + 1 \cr & \Leftrightarrow \frac{{x + 5}}{x} = \frac{9}{4} \cr & \Leftrightarrow \frac{{x + 5}}{x} = 2\frac{1}{4} \cr} $$
So, the fraction is $$2\frac{1}{4}$$
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
Join The Discussion