SOLUTION: The denominator of a fraction of a fraction is 9 more than the numerator. If both the numerator and the denominator are decreased by 1, the resulting fraction is equivalent 4/13. F
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-> SOLUTION: The denominator of a fraction of a fraction is 9 more than the numerator. If both the numerator and the denominator are decreased by 1, the resulting fraction is equivalent 4/13. F
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Question 1138362: The denominator of a fraction of a fraction is 9 more than the numerator. If both the numerator and the denominator are decreased by 1, the resulting fraction is equivalent 4/13. Find the fraction Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! let x be the numerator,
:
x-1/((x+9)-1) = 4/13
:
cross multiply the fraction
:
13(x-1) = 4(x+8)
:
13x -13 = 4x+32
:
9x = 45
:
x = 5
:
denominator is 5 + 9 = 14
:
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the fraction is 5/14
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