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May 18th, 2011, 09:08 PM  #1 
Member Joined: Jan 2011 Posts: 40 Thanks: 0  different rational no.
Let and and Prime number.Then no. of different rational no. whose numerator and Denominator belonging to is

May 19th, 2011, 12:14 AM  #2 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: different rational no.
You mean A = {x  x<30 and x prime}, so A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}. Just start writing them down: 2/2, 2/3, 2/5, 2/7... 2/29, 3/2, 3/3, 3/5, 3/7 ... 3/29, 5/2, 5/3, ... Any two of the rational numbers can only be equal if the components cancel. Which ones cancel? 

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