SOLUTION: The denominator of a fraction is 2 more than the numerator. if 1 is added to both the fraction reduces to 4\5. find the fraction

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The denominator of a fraction is 2 more than the numerator. if 1 is added to both the fraction reduces to 4\5. find the fraction       Log On


   

Question 427621: The denominator of a fraction is 2 more than the numerator. if 1 is added to both the fraction reduces to 4\5. find the fraction
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The original fraction is x%2F%28x%2B2%29
Then the new fractions is %28x%2B1%29%2F%28x%2B3%29+=+4%2F5-%3E+5%28x%2B1%29+=+4%28x%2B3%29
Solve for x: 5x + 5 = 4x + 12 -> x = 7
So, the original fraction is 7/(7+2) = 7/9