SOLUTION: The denominator of a fraction is 3 less than 4 times the numerator. If 5 is added to both terms the resulting fraction has the value 1/2. What is the original fraction?

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Question 242724: The denominator of a fraction is 3 less than 4 times the numerator. If 5 is added to both terms the resulting fraction has the value 1/2. What is the original fraction?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the numerator. Then the denominator must be . Hence the fraction is:



If you add 5 to both terms (I presume that means add 5 to both numerator and denominator) you get:



And this is equal to one-half, so:



Now all you have to do is cross-multiply and solve for

John