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- ALSO CHECK OUT: https://pastebin.com/cBxCcL99
- For some ACTUAL Maths...Not LP Maths XD
- Note:
- The Assumption of finding infinite repeating decimals
- by NOT looking past the first 6 Decimals will result in
- interesting (But incorrect due to lack of precision).
- Let us assume the following is TRUE:
- 0/7 = 0
- 1/7 = 0.142857
- 2/7 = 0.285714
- 3/7 = 0.428571
- 4/7 = 0.571428
- 5/7 = 0.714285
- 6/7 = 0.857142
- 7/7 = 1
- Input: Output:
- 7/7 1.000000 base-10 1.00000000000000000000 base-9
- 6/7 0.857142 base-10 0.76376335470335156708 base-9 6
- 5/7 0.714285 base-10 0.63763730087728733053 base-9 6
- 4/7 0.571428 base-10 0.51251223616223410287 base-9 6
- 3/7 0.428571 base-10 0.37637617234617073804 base-9 6
- 2/7 0.285714 base-10 0.25125111753111650148 base-9 6
- 1/7 0.142857 base-10 0.12512505371505324524 base-9 6
- 0/0 0.000000 base-10 0.00000000000000000000 base-9
- Reps:
- 1/7 0.11111106576004621400 base-8 6
- 2/7 0.22222215374011443000 base-8 6
- 3/7 0.33333324172016264400 base-8 6
- 4/7 0.44444432770023106000 base-8 6
- 5/7 0.55555541566027727400 base-8 6
- 6/7 0.66666650364034551000 base-8 6
- 1/7 0.06666666114344663301 base-7 7
- 2/7 0.16666665232022656602 base-7 n+6
- 3/7 0.26666664346400653215 base-7 n+6
- 4/7 0.36666663464045646514 base-7 n+6
- 5/7 0.46666662611423643110 base-7 n+6
- 6/7 0.56666662026101636423 base-7 n+6
- 1/7 0.05050504523010132353 base-6 7
- 2/7 0.14141413450020305145 base-6 7
- 3/7 0.23232322413030441542 base-6 7
- 4/7 0.32323231340041014335 base-6 7
- 5/7 0.41414140303051151131 base-6 7
- 6/7 0.50505045230101323524 base-6 6
- 1/7 0.03241203224211310020 base-5 9
- 2/7 0.12032412003423120040 base-5 9
- 3/7 0.20324120233134430104 base-5 8
- 4/7 0.24120324012401240124 base-5 8
- 5/7 0.32412032242113100144 base-5 8
- 6/7 0.41203241021324410214 base-5 8
- 1/7 0.02102102101223330001 base-4 10
- 2/7 0.10210210203113320002 base-4 10
- 3/7 0.12312312311003310010 base-4 10
- 4/7 0.21021021012233300011 base-4 10
- 5/7 0.23123123120123230012 base-4 10
- 6/7 0.31231231222013220013 base-4 9
- 1/7 0.01021201021200121021 base-3 13
- 2/7 0.02120102120101012112 base-3 13
- 3/7 0.10212010212001210211 base-3 13
- 4/7 0.12010212010202102002 base-3 13
- 5/7 0.20102120102110000100 base-3 13
- 6/7 0.21201021201010121121 base-3 12
- Binary Reps out of range to determine any rep break
- 1/7 0.00100100100100100100 base-2 20+ (001..)
- 2/7 0.01001001001001001001 base-2 20+ (n+100)
- 3/7 0.01101101101101101101 base-2 20+ (011..)
- 4/7 0.10010010010010010010 base-2 20+ (100..)
- 5/7 0.10110110110110110110 base-2 20+ (101..)
- 6/7 0.11011011011011011011 base-2 20+ (110..)
- Final Note:
- Most Calculators, Online or otherwise, will only give approximations
- based off a precision of about 13 Decimal places. This will work in
- most cases where full precision is not needed, but will fail on epic
- levels in other situations.
- With ALL things, Do your own research and never blindly assume you
- have been given the solution to a problem because it appears at first
- glance to fit.
- Instead... I challenge you to assume the information
- given is incorrect and then try to show how/when or if this information
- assumed as precise facts actually breaks/fails.
- Eg;
- You may believe E=MC^2, but is it really?(Spoiler: No it is not correct)
- But why? and more importantly why do we blindly believe an inaccurate
- theory to be a precise fact?
- ...
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