The denominator of a fraction is 8 greater than the numerator. If the numerator and the denominator are increased by 5, the resulting fraction is equal to 6â„7. What is the value of the original fraction?  Choose the correct choice from the following.
A) 25/33 B) 31/39 C) 37/45 D) 43/51 E) 53/61
Let the numerator be x.   Then the denominator is x+8.   x+5 / x+13 = 6/7.   7x+35=6x+78.   x=43.   The original fraction is 43/51.   The answer is 43/51.
<result>D</result>
The denominator of a fraction is 8 greater than the numerator. If the numerator and the denominator are increased by 5, the resulting fraction is equal to 6â„7. What is the value of the original fraction?