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 The Sum of the Parts Is Less Than And More Than the Parts (Posted on 2004-10-15)
Given a number of different fractions, create a new fraction whose numerator is the sum of all those fractions' numerators and whose denominator is the sum of the denominators. Call it y. Call the smallest of the original fractions x and the largest z.

Prove that for all cases, x < y < z.

 No Solution Yet Submitted by Victor Zapana Rating: 2.3333 (3 votes)

 Subject Author Date re: Simple proof Richard 2004-10-16 22:55:17 Another Practical Use Charlie 2004-10-16 16:54:51 Simple proof Federico Kereki 2004-10-16 13:11:40 Practical use Tristan 2004-10-16 00:57:38 re(2): Counterexamples Steve Herman 2004-10-15 21:54:02 re: Counterexamples David Shin 2004-10-15 20:13:41 Counterexamples Steve Herman 2004-10-15 18:55:29 Proof np_rt 2004-10-15 18:09:50 Too Easy RandyOrton 2004-10-15 18:00:57 Proof Jer 2004-10-15 17:08:32 Solution David Shin 2004-10-15 17:07:22

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