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.

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) (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.

Multiply by 6 and multiply by (4+x) to eliminate denominators. We can do it in any order, and we will end up with

Multiply (apply distributive property)

Subtract 18 from both sides

Subtract 5x from both sides

Verify

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