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Ratio Resolution VI (Posted on 2022-03-04) Difficulty: 3 of 5
Let
     1      1             1   
P = --- + ---- + .....+ ------
    1*2    3*4          99*100
    
      1        1             1
Q = ------ + ------ + ....+ ------
    51*100   52*99          100*51

Express P/Q in its lowest terms, that is, gcd(P,Q)=1
*** Adapted from a problem appearing at Argentina Mathematical Olympiad in 2014

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solution... or let the computer do the arithmeticCharlie2022-03-04 12:55:59
SolutionSolutionBrian Smith2022-03-04 12:43:22
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