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 739476: 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!
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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