5/432
2007-10-19 08:20:05
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answer #1
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answered by 1,1,2,3,3,4, 5,5,6,6,6, 8,8,8,10 6
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Yes -- it is exactly 5/432
Method: Let x=0.0115[740] (brackets indicate an indefinitely repeating decimal).
Then 1000x = 11.5[740]
Computing 1000x - x:
11.5740[740]
- 0.0115[740]
-------------------
11.5625
So 1000x-x = 11.5625
999x = 11.5625
9990000x = 115625
x = 115625/9990000
Finding GCD (9990000, 115625) using the Euclidean algorithm:
9990000 mod 115625 = 46250
115625 mod 46250 = 23125
46250 mod 23125 = 0
So the GCD is 23125. Dividing both numerator and denominator by 23125 yields:
x = 115625/9990000 = 5/432
So x = 5/432
2007-10-19 15:28:22
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answer #2
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answered by Pascal 7
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Well the "740" repeats, so it's definitely a rational number. That means it can be written as a fraction.
N = 0.01157407407407...
1000N = 11.57407407407...
999N = 11.5740 - 0.0115
N = 11.5625 / 999
N = 115,625 / 9,990,000
N = 5 / 432
As for what it "means", I don't know of any cases where this is some kind of special number.
2007-10-19 15:18:02
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answer #3
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answered by Anonymous
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Well the "740" repeats, so it's definitely a rational number. That means it can be written as a fraction.
N = 0.01157407407407...
1000N = 11.57407407407...
999N = 11.5740 - 0.0115
N = 11.5625 / 999
N = 115,625 / 9,990,000
N = 5 / 432
or the meaning could be of tht i'm confused.. loolz
2007-10-20 14:00:30
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answer #4
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answered by instructure cs101 1
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I don't know if it's special or anything, but if it's a repeating decimal you can turn it into a fraction. Something like (1157/100,000 + 407/999 - 40740/100,000).
2007-10-19 15:20:58
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answer #5
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answered by JP 3
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WHOA! that is one long frekin' decimal. o.k. the number 740 keeps on going,right? So that makes the decimal a repeating decimal. To make it easier on you and your eyes, just put 0.0115740 and put a line above 740 symbolizing that it repeats 740.
2007-10-19 15:18:58
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answer #6
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answered by Anonymous
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0.01157 = 1157 / 100,000
0.0000407.... = [407 / 9,999,999] / 100,000
>>>>>>>>> = 11 / 2,700,000
Now add:
1157 / 100,000 + 11 / 2,700,000
= 5 / 432
2007-10-19 15:39:26
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answer #7
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answered by Helen B 5
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THIS IS OBVIOUSLY A PERIODIC NUMBER BUT IT MEANS NOTHING. A NUMBER WITHOUT ANY UNITS MEANS NOTHING. IT DENOTES A QUANTITY OF SOMETHING THA COULD BE THE RESULT OF A DIVISION OF TWO OTHER AMOUNTS.
2007-10-19 15:20:33
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answer #8
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answered by JACK_GOES_TRAVELLING 1
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1/86.4
one divided by 86.4
2007-10-19 15:23:39
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answer #9
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answered by bigfrank1255 3
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It means just that
0.0115740740740740740740740740...
2007-10-19 15:21:55
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answer #10
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answered by idontknow 4
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