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Question 343893:  find two irrational numbers between 5/7 and 9/11 
 Answer by Jk22(389)      (Show Source): 
You can  put this solution on YOUR website! 5/7=55/77 
9/11=63/77 (9/11 is bigger than 5/7)
 
9/11-5/7=8/77 (distance between 5/7 and 9/11)
 
We can have irrational numbers inbetween, by for example, adding an irrational smaller than 1 ratio of the "distance" between those 2 rational numbers to the smaller one :
 
IR1=5/7+8/77*1/Sqrt(2) 
IR2=5/7+8/77*1/Pi 
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