SOLUTION: The denominator of a fraction is 1 more than the numerator. If the numerator is decreased by one and the denominator is increased by 2, the value of the fraction becomes 2/3. Find
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Question 169333: The denominator of a fraction is 1 more than the numerator. If the numerator is decreased by one and the denominator is increased by 2, the value of the fraction becomes 2/3. Find the fraction.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The denominator of a fraction is 1 more than the numerator. If the numerator is decreased by one and the denominator is increased by 2, the value of the fraction becomes 2/3. Find the fraction.
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Let the numerator be "x"; then the denominator is "x+1".
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EQUATION:
(x+1)/(x+3) = 2/3
3(x+1) = 2(x+3)
3x+3 = 2x+6
x = 3
x+1 = 4
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Ans: 3/4
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Cheers,
Stan H.
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