SOLUTION: The numerator of a fraction is 4 less than its denominator. If you add 1 to both the numerator and the denominator, the resulting fraction is equal to 2/3. What is the original f

Question 685076: The numerator of a fraction is 4 less than its denominator. If you add 1 to both the numerator and the denominator, the resulting fraction is equal to 2/3. What is the original fraction?
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
The numerator of a fraction is 4 less than its denominator. If you add 1 to both the numerator and the denominator, the resulting fraction is equal to 2/3. What is the original fraction?

Let the denominator = x

Then the numerator is 4 less than that: x-4

If you add 1 to the denominator you have: x+1

If you add one to the numerator you have: x-4+1 or x-3

So your algebraic equation is:

Cross Multiply:

Your denominator is x=11
Your numerator is: x-4=11-4=7
The original fraction is:

Do a sanity check...if you add 1 to the numerator and denominator, does it indeed reduce to 2/3's?

Happy Calculating!

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