The denominator of a fraction is one more then the numerator. If 2 were added to both the numerator and denominator, the new fraction equals 4/5. Find the original fraction.
Why not just reverse the process and subtract 2 from top and bottom to get 2/3 ?
I can't. This is how my math teacher put in the question. Its confusing, right? Its just messed up. I was just hoping if someone can plug in the fraction. If I saw how it looks when its all plugged in I might get it.
n/(n+1)
(n+2) /[(n+1)+2 ] = 4/5
(n+2) / (n+3) = 4/5
5(n+2) = 4(n+3)
5 n + 10 = 4 n + 12
n = 2
2/3
To find the original fraction, let's first represent the numerator of the fraction as 'x'.
According to the given information, the denominator is one more than the numerator, so it can be represented as 'x + 1'. Therefore, the original fraction can be written as x/(x + 1).
Next, we are told that if we add 2 to both the numerator and the denominator, the new fraction is equal to 4/5. So the new fraction becomes (x + 2)/(x + 1 + 2), which simplifies to (x + 2)/(x + 3).
Now, we can set up an equation based on the given information:
(x + 2)/(x + 3) = 4/5
To solve this equation, we can cross multiply:
5(x + 2) = 4(x + 3)
Expanding both sides of the equation:
5x + 10 = 4x + 12
Next, we can simplify the equation:
5x - 4x = 12 - 10
x = 2
Therefore, the numerator of the original fraction is 2. The denominator of the original fraction is one more than the numerator, so it is 2 + 1 = 3.
Hence, the original fraction is 2/3.