Ratio Resolution VI (Posted on 2022-03-04)

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

	Submitted by K Sengupta
Rating: 5.0000 (1 votes)
Solution:	(Hide)
P/Q as expressed in its lowest terms is 151/2. For an explanation, refer to the analytical solution submitted by Brian Smith in this location.

	Subject	Author	Date
	... or let the computer do the arithmetic	Charlie	2022-03-04 12:55:59
	Solution	Brian Smith	2022-03-04 12:43:22