SOLUTION: The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the n

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Question 1113781: The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator, then find the fraction.
A)3/7
B)4/8
C)2/7
D)3/8
Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
n=d-4

%28n-2%29%2F%28d%2B1%29=n%2F8n=1%2F8

8n-16=d%2B1

8n-d=17

%288%29%28d-4%29-d=17

8d-32-d=17

7d=49

d=7%2C+n=3

So the fraction in question is 3%2F7 (Answer)