SOLUTION: the numerator of a certain fraction is 5 times the denominator. if 6 is added to both the numerator and the denominator, the resulting fraction is equivalent to 2. what was the ori
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Question 656308: the numerator of a certain fraction is 5 times the denominator. if 6 is added to both the numerator and the denominator, the resulting fraction is equivalent to 2. what was the original fraction?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let be the denominator.
Then, the numerator is , and the fraction is , which is equivalent to .
If you add to both the numerator and the denominator, the resulting fraction is
That fraction is equivalent to , so we can write
Multiplying both sides of the equal sign times we get
--> --> -->
Subtracting from both sides we get
-->
Subtracting from both sides we get
-->
Dividing both sides by 3 we get
-->
So the original fraction was
or
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