SOLUTION: The denominator of a fraction is 5 more than the numerator. If both the numerator and the denominator are decreased by 3, the resulting fraction is equivalent to 6/11. Find the fra

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Question 791935: The denominator of a fraction is 5 more than the numerator. If both the numerator and the denominator are decreased by 3, the resulting fraction is equivalent to 6/11. Find the fraction.
Answer by MathLover1(20850) About Me  (Show Source):
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The denominator of a fraction is 5 more than the numerator.
x%2F%28x%2B5%29
If both the numerator and the denominator are decreased by 3%7D%7D%5D%2C+the+resulting+fraction+is+equivalent+to+%7B%7B%7B6%2F11.
%28x-3%29%2F%28%28x%2B5%29-3%29=6%2F11
%28x-3%29%2F%28x%2B5-3%29=6%2F11
%28x-3%29%2F%28x%2B2%29=6%2F11
%28x-3%29%2A11=6%28x%2B2%29
11x-33=6x%2B12
11x-6x=33%2B12
5x=45
x=45%2F5
x=9..........the numerator
x%2B5=14.........the denominator
9%2F14............the fraction