SOLUTION: The numerator of a fraction is 1 more than the denominator. If 1 is added to the numerator, and the denominator is unchanged, the resulting fraction has a value of 3/4. Find the or

Question 825543: The numerator of a fraction is 1 more than the denominator. If 1 is added to the numerator, and the denominator is unchanged, the resulting fraction has a value of 3/4. Find the original fraction
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Let n = the original numerator and d = the original denominator. Then the numerator with 1 added to it would be: n + 1.

With two variables we need two equations to solve this problem. "The numerator of a fraction is 1 more than the denominator." translates into:
n = d + 1
and "If 1 is added to the numerator, and the denominator is unchanged, the resulting fraction has a value of 3/4" translates into:

Now we can solve. Since the first equation is already solved for n, the Substitution Method seems like it would be easiest. Substituting for n in the second equation we get:

Simplifying we get:

Cross-multiplying we get:

which simplifies to:

Subtracting 4d we get:

Multiplying (or dividing) both sides by -1 we get:

Now we find the value for n. Using the first equation, n = d + 1, and the value we found for d, we should get n = -7. And since n and d are the original fraction:

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