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murat_kz
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if each of the following fractions were written as a 30 Nov 2004, 21:24
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if each of the following fractions were written as a repeating decimal, which would have been the longest sequence of different digits
1 2/11
2 1/3
3 41/99
4 2/3
5 23/37

Guys pls explain the shortest way to solve such problems



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vprabhala
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if each of the following fractions were written as a 01 Dec 2004, 10:58
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the way I would handle it is. remove the ones which you can calculate in your brain easily . this would remove 1/3, 2/3..

then if the two digits in the denominator are the same then take it as a rule that its gonna be a repeating decimal remove those too. which in this case will be 2/11, 41/99. that would leave us with the most odd one which is 23/37 which is a transcendental number.
answer is E
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if each of the following fractions were written as a 01 Dec 2004, 13:24
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E.. I calculated everything.
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oxon
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if each of the following fractions were written as a 01 Dec 2004, 16:27
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vprabhala, that was beautiful :wink:
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gmat1obsessed
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if each of the following fractions were written as a 01 Dec 2004, 16:42
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good expalanation vprabhala !
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if each of the following fractions were written as a 01 Dec 2004, 18:38
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interesting Prabhala
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gayathri
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if each of the following fractions were written as a 01 Dec 2004, 20:10
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vprabhala
that would leave us with the most odd one which is 23/37 which is a transcendental number.
answer is E
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Vasudha, how do you identify a transcendental number without actually doing the calculation?
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ian7777
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if each of the following fractions were written as a 03 Dec 2004, 09:08
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vprabhala
the way I would handle it is. remove the ones which you can calculate in your brain easily . this would remove 1/3, 2/3..

then if the two digits in the denominator are the same then take it as a rule that its gonna be a repeating decimal remove those too. which in this case will be 2/11, 41/99. that would leave us with the most odd one which is 23/37 which is a transcendental number.
answer is E
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this is a fair generalization, but it is not a rule. I just tried a bunch of them on the calculator and it does not always work out exactly. 9/88, for example, is .10227272727, and 4/55 is .0727272
23/37 is .621621621.

no fraction can be a transcendental number, incidentally, because a transcendental number is by definition irrational, and no fraction is irrational. A rational number is defined as any number that can be written as a/b.

I wouldn't take chances with this problem. I'd wipe out 1/3 and 2/3 for obvious reasons and then just do the division on the other three. How long does that really take to ensure a correct answer?



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Hi there,
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