SOLUTION: Solve What number must be added to both the numerator and the denominator of 5/11 to produce a fraction equivalent to 3/4?

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Question 1034638: Solve
What number must be added to both the numerator and the denominator of 5/11 to produce a fraction equivalent to 3/4?

Found 2 solutions by fractalier, Alan3354:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We set this up this way:
%285%2Bx%29%2F%2811%2Bx%29+=+3%2F4
Now cross-multiply and solve
4(5+x) = 3(11+x)
20 + 4x = 33 + 3x
x = 13

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What number must be added to both the numerator and the denominator of 5/11 to produce a fraction equivalent to 3/4?
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Add x
(5+x)/(11+x) = 3/4
Cross multiply
4(x+5) = 3(x+11)
4x+20 = 3x+33
x = 13