The denominator of a fraction is 6 more than its numerator. If the numerator…
2020
The denominator of a fraction is 6 more than its numerator. If the numerator is increased by 4 and the denominator is decreased by 8, the fraction becomes 5/3. What is the original fraction?
- A.
11/17
- B.
5/11
- C.
7/13
- D.
13/19
Attempted by 10 students.
Show answer & explanation
Correct answer: A
Let the numerator be x. Then the denominator is x + 6.
After the changes, the new numerator is x + 4 and the new denominator is (x + 6) - 8 = x - 2.
According to the question:
(x + 4)/(x - 2) = 5/3
3(x + 4) = 5(x - 2)
3x + 12 = 5x - 10
22 = 2x
x = 11
So the denominator is 11 + 6 = 17.
Therefore, the original fraction is 11/17.