SOLUTION: Find the fraction which becomes 1/2 when the finnoinator is increased by 4 and 1/8 when the numerator is diminished by 5

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Find the fraction which becomes 1/2 when the finnoinator is increased by 4 and 1/8 when the numerator is diminished by 5      Log On


   

Question 919706: Find the fraction which becomes 1/2 when the finnoinator is increased by 4 and 1/8 when the numerator is diminished by 5
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

n%2F%28d%2B4%29+=+1%2F2 n = (d+4)/2

%28n-5%29%2Fd+=+1%2F8

%28%28d%2B4%29%2F2+-+5%29%2Fd+=+1%2F8

%28%28d%2B4%29+-+10%29%2F%282d%29+=+1%2F8

2d  = 8(d-6)

48 = 6d

8 = d   and a  = 6 %288%2B4%29%2F2

Fraction is: +highlight_green%286%2F8%29 

Checking.......

6/12 = 1/2

and

1/8 = 1/8