SOLUTION: What is the denominator of a fraction is 1 greater than its numerator. If both the numerator and demonminator are decreased by 3, the resulting fraction is equal to 4 timesthe ori
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Question 191372: What is the denominator of a fraction is 1 greater than its numerator. If both the numerator and demonminator are decreased by 3, the resulting fraction is equal to 4 timesthe original fraction. Find the original fraction.
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let the numerator of the original fraction is x, the the original fraction can be expressed as:
The resulting fraction is
As the resulting fraction is equal to 4 timesthe original fraction, we have
Solving for x, we have
cross-multiplication
expanding
dividing both sides by 3 to simplify the equation
So x = 1
Therefore the original fraction is
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