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?

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) (Show Source): You can put this solution on YOUR website!
We set this up this way:

Now cross-multiply and solve
4(5+x) = 3(11+x)
20 + 4x = 33 + 3x
x = 13
Answer by Alan3354(69443) (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
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