SOLUTION: The denominator of a fraction is two more than twice the numerator. If both numerator and denominator are decreased by eight, the simplified result is 2/9 Find the original fra

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Question 1056784: The denominator of a fraction is two more than twice the numerator. If both numerator and denominator are decreased by eight, the simplified result is
2/9
Find the original fraction
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of a fraction is two more than twice the numerator.
n%2F%28%282n%2B2%29%29
If both numerator and denominator are decreased by eight, the simplified result is
2/9
:
%28%28n-8%29%29%2F%28%282n%2B2-8%29%29 = 2%2F9
%28%28n-8%29%29%2F%28%282n-6%29%29 = 2%2F9
cross multiply
9(n-8) = 2(2n-6)
9n - 72 = 4n - 12
9n - 4n = 72 - 12
5n = 60
n = 60/5
n = 12 is the numerator
then
2(12)+2 = 26 is the denominator
:
12%2F26 is the original fraction
:
:
Check this by reducing the numerator and denominator by 8
4%2F18 reduces to 2%2F9