SOLUTION: if the same number is adde to both the numerator and the denominator of the fraction 3/4,the result is 5/6.Find the numerator.

Algebra ->  Rational-functions -> SOLUTION: if the same number is adde to both the numerator and the denominator of the fraction 3/4,the result is 5/6.Find the numerator.      Log On


   

Question 537016: if the same number is adde to both the numerator and the denominator of the fraction 3/4,the result is 5/6.Find the numerator.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is obvious just by inspection. 3+2=5 and 4+2=6.


By algebra.


%283%2Bn%29%2F%284%2Bn%29=5%2F6


Cross multiply


6%283%2Bn%29+=+5%284%2Bn%29


Multiply each number by what's inside the ()


18+%2B+6n+=+20+%2B+5n


Subtract 5n from both sides, subtract 18 from both sides.


n = 2

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