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Simple fractions (Posted on 2018-01-03) Difficulty: 3 of 5
Write down a few simple positive fractions.
Now create a new fraction, such that its numerator equals the sum of all the numerators you wrote down and the denominator equals the sum of all the denominators.

Example: you wrote down 1/3, 2/7, 4/15 so the new fraction is 7/25.

Prove: the new fraction is smaller than the largest on the initial list
and bigger than the smallest.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Treating as probabilitiesSteve Herman2018-01-04 09:38:48
Treating as probabilitiesCharlie2018-01-03 15:54:38
The First Half, Using Inductionchun2018-01-03 11:19:29
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