간단한 분수의 순환소수 전개 목록
이 항목의 스프링노트 원문주소
개요
목록
- 아래 목록은 {n,1/n의 순환소수 전개, 순환마디의 길이}를 나타냄
- 아래표에서 순환소수전개는 실제 순환마디보다 다섯개의 숫자가 더 많도록 출력됨
\( \begin{array}{ccc} 1 & 1.00000 & 1 \\ 3 & 0.333333 & 1 \\ 7 & 0.14285714286 & 6 \\ 9 & 0.111111 & 1 \\ 11 & 0.09090909 & 2 \\ 13 & 0.076923076923 & 6 \\ 17 & 0.0588235294117647058824 & 16 \\ 19 & 0.052631578947368421052632 & 18 \\ 21 & 0.047619047619 & 6 \\ 23 & 0.0434782608695652173913043478 & 22 \\ 27 & 0.037037037 & 3 \\ 29 & 0.0344827586206896551724137931034483 & 28 \\ 31 & 0.032258064516129032258 & 15 \\ 33 & 0.03030303 & 2 \\ 37 & 0.027027027 & 3 \\ 39 & 0.025641025641 & 6 \\ 41 & 0.02439024390 & 5 \\ 43 & 0.023255813953488372093023256 & 21 \\ 47 & 0.0212765957446808510638297872340425531914893617021277 & 46 \\ 49 & 0.020408163265306122448979591836734693877551020408 & 42 \\ 51 & 0.0196078431372549019608 & 16 \\ 53 & 0.0188679245283018868 & 13 \\ 57 & 0.017543859649122807017544 & 18 \\ 59 & 0.0169491525423728813559322033898305084745762711864406779661016949 & 58 \\ 61 & 0.016393442622950819672131147540983606557377049180327868852459016393 & 60 \\ 63 & 0.015873015873 & 6 \\ 67 & 0.014925373134328358208955223880597014925 & 33 \\ 69 & 0.0144927536231884057971014493 & 22 \\ 71 & 0.01408450704225352112676056338028169014085 & 35 \\ 73 & 0.01369863013699 & 8 \\ 77 & 0.012987012987 & 6 \\ 79 & 0.0126582278481012658 & 13 \\ 81 & 0.012345679012346 & 9 \\ 83 & 0.01204819277108433734939759036144578313253012048 & 41 \\ 87 & 0.0114942528735632183908045977011494 & 28 \\ 89 & 0.01123595505617977528089887640449438202247191011236 & 44 \\ 91 & 0.010989010989 & 6 \\ 93 & 0.010752688172043010753 & 15 \\ 97 & 0.010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185567010309 & 96 \\ 99 & 0.01010101 & 2 \end{array} \)
11 2 90 0.09090909
13 6 769230 0.076923076923
17 16 5882352941176470 0.0588235294117647058824
19 18 526315789473684210 0.052631578947368421052632
21 6 476190 0.047619047619
23 22 4347826086956521739130 0.0434782608695652173913043478
27 3 370 0.037037037
29 28 3448275862068965517241379310 0.0344827586206896551724137931034483
31 15 322580645161290 0.032258064516129032258
33 2 30 0.03030303
37 3 270 0.027027027
39 6 256410 0.025641025641
41 5 24390 0.02439024390
43 21 232558139534883720930 0.023255813953488372093023256
47 46 2127659574468085106382978723404255319148936170 0.0212765957446808510638297872340425531914893617021277
49 42 204081632653061224489795918367346938775510 0.020408163265306122448979591836734693877551020408
51 16 1960784313725490 0.0196078431372549019608
53 13 1886792452830 0.0188679245283018868
57 18 175438596491228070 0.017543859649122807017544
59 58 1694915254237288135593220338983050847457627118644067796610 0.0169491525423728813559322033898305084745762711864406779661016949
61 60 163934426229508196721311475409836065573770491803278688524590 0.016393442622950819672131147540983606557377049180327868852459016393
63 6 158730 0.015873015873
67 33 149253731343283582089552238805970 0.014925373134328358208955223880597014925
69 22 1449275362318840579710 0.0144927536231884057971014493
71 35 14084507042253521126760563380281690 0.01408450704225352112676056338028169014085
73 8 13698630 0.01369863013699
77 6 129870 0.012987012987
79 13 1265822784810 0.0126582278481012658
81 9 123456790 0.012345679012346
83 41 12048192771084337349397590361445783132530 0.01204819277108433734939759036144578313253012048
87 28 1149425287356321839080459770 0.0114942528735632183908045977011494
89 44 11235955056179775280898876404494382022471910 0.01123595505617977528089887640449438202247191011236
91 6 109890 0.010989010989
93 15 107526881720430 0.010752688172043010753
97 96 103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061855670 0.010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185567010309
99 2 10 0.01010101
재미있는 사실
역사
메모
관련된 항목들
수학용어번역
사전 형태의 자료
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- http://www.wolframalpha.com/input/?i=
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
관련논문
관련도서 및 추천도서
- 도서내검색
- 도서검색
관련기사
- 네이버 뉴스 검색 (키워드 수정)