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The Sum of the Parts Is Less Than And More Than the Parts (Posted on 2004-10-15) Difficulty: 2 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Simple proofRichard2004-10-16 22:55:17
Another Practical UseCharlie2004-10-16 16:54:51
SolutionSimple proofFederico Kereki2004-10-16 13:11:40
Some ThoughtsPractical useTristan2004-10-16 00:57:38
re(2): CounterexamplesSteve Herman2004-10-15 21:54:02
re: CounterexamplesDavid Shin2004-10-15 20:13:41
CounterexamplesSteve Herman2004-10-15 18:55:29
Proofnp_rt2004-10-15 18:09:50
Too EasyRandyOrton2004-10-15 18:00:57
ProofJer2004-10-15 17:08:32
SolutionSolutionDavid Shin2004-10-15 17:07:22
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