SOLUTION: The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the resulting fraction is equivalent to 1. W

Question 230666: The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the resulting fraction is equivalent to 1. What was the original fraction (not written in lowest terms)?
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's first write out how the fraction will look:

x + 2/3x-2 = 1
Now all we have to do is solve what x equals.
First we multiply both sides by 3x-2
This will then make the equation look like this:
x + 2 = 3x - 2
Now subtract 2 from both sides and this leaves
x = 3x - 4
Now subtract 3x from both sides and this will give you:
-2x = -4
Now divide both sides by -2 and this gives you
x = 2
plugging 2 into the original formula gives you:
2 + 2/3 times 2-2 = 1 this turns into:

4/4=1
You're welcome,
RJ Toftness
www.math-unlock.com
RELATED QUESTIONS
The denominator of a certain fraction is th ree times the numerator. If 2 is added to... (answered by ReadingBoosters)

the denominator of a certain fraction is three times the numerator. if 1 is added to the... (answered by solver91311)

The denominator of a certain fraction is three times the numerator. If 2 is added to the... (answered by MathLover1)

The denominator of a certain fraction is six times the numerator. If 3 is added to the... (answered by oberobic)

The ratio of the numerator to the denominator of a certain fraction is one to four. If... (answered by ewatrrr)

The ratio of the numerator to the denominator of a certain fraction is one to four. If... (answered by Alan3354)

The difference between the numerator and the denominator of a certain proper fraction is... (answered by stanbon)

A denominator is 3 times the numerator of a fraction. If 4 is added to the denominator... (answered by checkley71)