SOLUTION: The value of a fraction is 2/3. If the numerator is increased by 14 and the denominator is decreased by 9 the value of the resulting fraction will be the reciprocal of the value of
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Question 739464: The value of a fraction is 2/3. If the numerator is increased by 14 and the denominator is decreased by 9 the value of the resulting fraction will be the reciprocal of the value of the original fraction. What is the original fraction?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You just stated that the original fraction is 2/3 and you ask what is this fraction. It's the same: 2/3.
Did you mean that the ratio of two variables is 2/3, and then according to the description, find those two numbers? That would be worded a little differently.
Let numerator be n
Let denominator be d.
.
The longer part of the description gives .
Working with the longer equation,
.
Using the 2/3 equation, , so try substituting:
Multiply both sides by 9
.
.
...
meaning .
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