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May 17th, 2010, 07:36 PM   #1
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HELP PLEASE

Hey All! Can someone please help me in doing this question?

a) find the repetend for the fraction 1/103

b) find the five largest fractions amongst n/103 for n = 1,2,3.....,102 whose repetends have the cyclic order as the repetend for 1/103.

c)find three fractions amongst n/103 for n = 1,2,3,....,102 whose repetends do not have the same cyclic order.

d) represent the three different repetends in part c as A,B,C. Determine which of these repetends each of the fractions n/103 has for n = 1,2,3,....,10 and 93,94,95...,102. what pattern do you notice?
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May 18th, 2010, 03:25 PM   #2
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(a) 0097087378640776699029126213592233

(b) 102/103, 100/103, 95/102, 94/102, 93/102

(c) 1/103, 2/103, 4/103

(d) A,B,A,C,C,B,C,A,A,A and A,A,A,C,B,C,C,A,B,A (order reversed)
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May 18th, 2010, 06:47 PM   #3
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Re: HELP PLEASE

Hello, Mariner!

Quote:
a) Find the repetend for the fraction 1/103

Carefully divide 1 by 103.


We find a decimal with a 34-digit repeating cycle.

[color=beige]. . [/color]




Quote:
b) Find the five largest fractions among n/103 for n = 1,2,3.....,102
[color=beige]. . [/color]whose repetends have the cyclic order as the repetend for 1/103.

Read along the cycle and pick out the five largest 6-digit (or 9-digit) decimals.

[color=beige]. . [/color]


Multiply each by 103:

[color=beige]. . [/color]






Quote:
c) Find three fractions among n/103 for n = 1,2,3,....,102
[color=beige]. . [/color]whose repetends do not have the same cyclic order.










Quote:
d) Represent the three different repetends in part c as A,B,C.
Determine which of these repetends each of the fractions n/103 has for n = 1,2,3,....,10 and 93,94,95...,102.
What pattern do you notice?

Not sure what they're asking . . .

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May 19th, 2010, 10:23 PM   #4
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Re: HELP PLEASE

Thank you very much!
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May 19th, 2010, 10:24 PM   #5
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Re: Please Help!

Thanks skipjack!
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