SOLUTION: The denominator of a fraction is 12 more than its numerator. If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8. Find the original fraction

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Question 1108783: The denominator of a fraction is 12 more than its numerator. If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8. 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 12 more than its numerator.
n%2F%28%28n%2B12%29%29
If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8.
%28%28n%2B6%29%29%2F%28%28n%2B12-5%29%29 = 7%2F8
:
%28%28n%2B6%29%29%2F%28%28n%2B7%29%29 = 7%2F8
Cross multiply
8(n+6) = 7(n+7)
8n + 48 = 7n + 49
8n - 7n = 49 - 48
n = 1 is the numerator
then
1 + 12 = 13 is the denominator
then
1%2F13 is the original fraction
:
:
Check the solution in the statement
"If the numerator is increased by 6 and the denominator is decreased by 5, the result is 7/8."
%281%2B6%29%2F%2813-5%29 = 7%2F8