Vinculum's Fraction Mystery Cache

This cache has been archived.

PYC: This one lasted over 7.5 years and ended with 1 Fav points. Container and log sheet have been removed. Feel free to reclaim any of your Fav points from our archived caches.

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A cache by PYC Message this owner
Hidden : 10/7/2015
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size: micro (micro)

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Geocache Description:


The cache is NOT located at the posted coordinates.

Solve and interpret correctly the puzzle problems below (A-H), then
fill in the corresponding digits to obtain the final's coordinates.

Final: N 46 4A.BCD W 117 1E.FGH

Repeating decimals can be expressed as fractions, i.e., .3333... = 1/3)

Below you will find 8 decimal numbers, each with repeating decimals of various lengths.

When these decimal numbers are "fractionalized" (and reduced) the results should help you determine the coordinates for the final GZ.


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Note: The problems below are the same problems as those above, but in text form.

Each of the 8 decimal numbers repeat the group of digits
shown after the decimal point - in the same order, ad infinitum.
(For example, .36... means .3636363636 ... repeating the 36 infinitely.)

A 0.2352941176470588…
B 0.857142…
C 0.538461…
D 0.72…
==========
E 0.1…
F 0.2413793103448275862068965517…
G 0.3913043478260869565217…
H 0.263157894736842105…

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In lieu of a geochecker,
we are providing a mathematical method for
verifying the missing digits of the final GZ:

(EGFH)/(BACD) = an answer with a five-digit repetend.

(The letters (A-H) in this formula represent the digits in each number:
and are not to be multiplied together.)

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Be careful of thorns at the final GZ! You are looking for a camoed preform.

Additional Hints (Decrypt)

Svany: cersbez unatvat ba n oenapu ba gur onpxfvqr bs bar bs gur gehaxf arne gur gerr pragre

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)


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