I am having a bit of trouble understanding why the answer is less than:
428551/999953.
It seems to me that the answer that is expected is farther away from 3/7 than 428551/999953 is.
Could anyone explain why this numerator is not the correct answer?
Thanks!
Problem 071
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See also the topics:
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daniel.is.fischer
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Re: Problem 071
Because there are fractions between 428551/999953 and 3/7 with denominator less than 1000000, e.g. 214277/499980, so it's not the closest.
Il faut respecter la montagne -- c'est pourquoi les gypaètes sont là.
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honahursey
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Re: Problem 071
I don't see how 214277/499980 is closer to 3/7 than 428551/999953.
214277/499980 is approx. 0.42847113884555382, while 428551/999953 is aprox. 0.42857114284371367.
428551/999953 is clearly closer to 3/7 than 2142277/499980. The same holds true with the answer the problem is looking for, as far as I can tell.
214277/499980 is approx. 0.42847113884555382, while 428551/999953 is aprox. 0.42857114284371367.
428551/999953 is clearly closer to 3/7 than 2142277/499980. The same holds true with the answer the problem is looking for, as far as I can tell.
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Georg
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Re: Problem 071
No, 214227/499980 is approx. 0.42847113884555382.honahursey wrote:214277/499980 is approx. 0.42847113884555382, [...]
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honahursey
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Re: Problem 071
Ah, I see I must have been typing it in wrong all along. Thanks for clearing that up.
My initial program had spit out 428551/999953, and when I compared that against the answer I must have typed it in wrong.
My initial program had spit out 428551/999953, and when I compared that against the answer I must have typed it in wrong.
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slivkamjan
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Re: Problem 071
Fractions between [snip] and 3/7 with denominator less than 1000000, e.g. [snip]. Is there a fraction closer to 3/7 ?
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stijn263
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Re: Problem 071
Please remove those numbers, and note that Problem 71 (View Problem) asks for the numerator 
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SoboLAN
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Re: Problem 071
3 / 7 = 0.428571428571
I got the fraction 428567 / 999990 as result, which is 0.42857128571. So the first 6 fractional digits are identical. This HAS to be the right answer, but.... it's not...
Am I close ?
PS: Never mind, I solved it
.
I got the fraction 428567 / 999990 as result, which is 0.42857128571. So the first 6 fractional digits are identical. This HAS to be the right answer, but.... it's not...
Am I close ?
PS: Never mind, I solved it
.
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satyres
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Re: Problem 071
Hi, this is my second post in this forum and i need a little help to understand the problem because english is not my mother tongue !
My question is why the proper fraction of d<=8 ?
1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, 2/5, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8
I can not understand why we start 1/8, 1/7, 1/6, 1/5, 1/4, and then 2/7 why not 1/3 before 2/7 ?
why we don't have somthing like this :
1/8, 1/7, 1/6, 1/5, 1/4, 1/3,1/2...
I'm extreamy sorry i could not understand how to have a sequence like this .
Thanks so much !
My question is why the proper fraction of d<=8 ?
1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, 2/5, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8
I can not understand why we start 1/8, 1/7, 1/6, 1/5, 1/4, and then 2/7 why not 1/3 before 2/7 ?
why we don't have somthing like this :
1/8, 1/7, 1/6, 1/5, 1/4, 1/3,1/2...
I'm extreamy sorry i could not understand how to have a sequence like this .
Thanks so much !
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stijn263
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