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Not a fraction (Posted on 2011-04-11) Difficulty: 1 of 5
In what base is 41/14 an integer?

P&p(or just use your head),please.

  Submitted by Ady TZIDON    
Rating: 4.0000 (3 votes)
Solution: (Hide)
Answer: 11

Call 41/14 f(b), b denoting the base.
Since minimal value for b is 5 and f(5)=21/9=7/3>2
and lim f(b) is clearly 4 as b increases to infinity, the integer must be 3.
Solving (4*b+1)/(b+4)=3 we get:
4*b+1=3*b+12==> b=11


Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionThinking quicklyBrian Smith2016-06-29 13:42:30
SolutionThe baseMath Man2011-04-11 21:40:31
SolutionP&P (spoiler)Steve Herman2011-04-11 13:08:03
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