The denominator of a fraction is 5 more than its numerator. If 3 is added to both the numerator and denominator, will the new fraction equal 2/3? What was the original fraction?
Show answer & explanation
Correct answer: C
Explanation
Given:
The denominator of a fraction is 5 greater than its numerator. If 3 is added to both the numerator and denominator, the new fraction becomes 2/3.
Formula:
Let the numerator = x
Then the denominator = x + 5
(x + 3) / (x + 8) = 2 / 3
3(x + 3) = 2(x + 8)
3x + 9 = 2x + 16
x = 7
Denominator = x + 5 = 7 + 5 = 12
Original fraction = 7 / 12