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 number.

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 number.       Log On


   

Question 537014: 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 number.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Of course, you see at first sight that the number is 2. Let's pretend that we need algebra to solve this problem.
Let that mystery number be x.
%283%2Bx%29%2F%284%2Bx%29=5%2F6
Multiply by 6 and multiply by (4+x) to eliminate denominators. We can do it in any order, and we will end up with
6%283%2Bx%29=5%284%2Bx%29
Multiply (apply distributive property)
18%2B6x=20%2B5x
Subtract 18 from both sides
6x=2%2B5x
Subtract 5x from both sides
x=2
Verify
%283%2Bx%29%2F%284%2Bx%29=%283%2B2%29%2F%284%2B6%29=5%2F6