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| Not a fraction (Posted on 2011-04-11) |
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In what base is 41/14 an integer?
P&p(or just use your head),please.
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Submitted by Ady TZIDON
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Rating: 4.0000 (3 votes)
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Solution:
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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
CHECK: DECIMAL VALUES 45/15=3 |
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