Reciprocal expansions (1/n) in radix 10:

n₁₀	n	1/n	period

`1`	`1`	`1`	`0`
`2`	`2`	`0.5`	`0`
`3`	`3`	`0.(3)`	`1`
`4`	`4`	`0.25`	`0`
`5`	`5`	`0.2`	`0`

`6`	`6`	`0.1(6)`	`1`
`7`	`7`	`0.(142857)`	`6`
`8`	`8`	`0.125`	`0`
`9`	`9`	`0.(1)`	`1`
`10`	`10`	`0.1`	`0`

`11`	`11`	`0.(09)`	`2`
`12`	`12`	`0.08(3)`	`1`
`13`	`13`	`0.(076923)`	`6`
`14`	`14`	`0.0(714285)`	`6`
`15`	`15`	`0.0(6)`	`1`

`16`	`16`	`0.0625`	`0`
`17`	`17`	`0.(0588235294117647)`	`16`
`18`	`18`	`0.0(5)`	`1`
`19`	`19`	`0.(052631578947368421)`	`18`
`20`	`20`	`0.05`	`0`

`21`	`21`	`0.(047619)`	`6`
`22`	`22`	`0.0(45)`	`2`
`23`	`23`	`0.(0434782608695652173913)`	`22`
`24`	`24`	`0.041(6)`	`1`
`25`	`25`	`0.04`	`0`

`26`	`26`	`0.0(384615)`	`6`
`27`	`27`	`0.(037)`	`3`
`28`	`28`	`0.03(571428)`	`6`
`29`	`29`	`0.(0344827586206896551724137931)`	`28`
`30`	`30`	`0.0(3)`	`1`

`31`	`31`	`0.(032258064516129)`	`15`
`32`	`32`	`0.03125`	`0`
`33`	`33`	`0.(03)`	`2`
`34`	`34`	`0.0(2941176470588235)`	`16`
`35`	`35`	`0.0(285714)`	`6`

`36`	`36`	`0.02(7)`	`1`
`37`	`37`	`0.(027)`	`3`
`38`	`38`	`0.0(263157894736842105)`	`18`
`39`	`39`	`0.(025641)`	`6`
`40`	`40`	`0.025`	`0`

`41`	`41`	`0.(02439)`	`5`
`42`	`42`	`0.0(238095)`	`6`
`43`	`43`	`0.(023255813953488372093)`	`21`
`44`	`44`	`0.02(27)`	`2`
`45`	`45`	`0.0(2)`	`1`

`46`	`46`	`0.0(2173913043478260869565)`	`22`
`47`	`47`	`0.(0212765957446808510638297872340425531914893617)`	`46`
`48`	`48`	`0.0208(3)`	`1`
`49`	`49`	`0.(020408163265306122448979591836734693877551)`	`42`
`50`	`50`	`0.02`	`0`

`51`	`51`	`0.(0196078431372549)`	`16`
`52`	`52`	`0.01(923076)`	`6`
`53`	`53`	`0.(0188679245283)`	`13`
`54`	`54`	`0.0(185)`	`3`
`55`	`55`	`0.0(18)`	`2`

`56`	`56`	`0.017(857142)`	`6`
`57`	`57`	`0.(017543859649122807)`	`18`
`58`	`58`	`0.0(1724137931034482758620689655)`	`28`
`59`	`59`	`0.(0169491525423728813559322033898305084745762711864406779661)`	`58`
`60`	`60`	`0.01(6)`	`1`

`61`	`61`	`0.(016393442622950819672131147540983606557377049180327868852459)`	`60`
`62`	`62`	`0.0(161290322580645)`	`15`
`63`	`63`	`0.(015873)`	`6`
`64`	`64`	`0.015625`	`0`
`65`	`65`	`0.0(153846)`	`6`

`66`	`66`	`0.0(15)`	`2`
`67`	`67`	`0.(014925373134328358208955223880597)`	`33`
`68`	`68`	`0.01(4705882352941176)`	`16`
`69`	`69`	`0.(0144927536231884057971)`	`22`
`70`	`70`	`0.0(142857)`	`6`

`71`	`71`	`0.(01408450704225352112676056338028169)`	`35`
`72`	`72`	`0.013(8)`	`1`
`73`	`73`	`0.(01369863)`	`8`
`74`	`74`	`0.0(135)`	`3`
`75`	`75`	`0.01(3)`	`1`

`76`	`76`	`0.01(315789473684210526)`	`18`
`77`	`77`	`0.(012987)`	`6`
`78`	`78`	`0.0(128205)`	`6`
`79`	`79`	`0.(0126582278481)`	`13`
`80`	`80`	`0.0125`	`0`

`81`	`81`	`0.(012345679)`	`9`
`82`	`82`	`0.0(12195)`	`5`
`83`	`83`	`0.(01204819277108433734939759036144578313253)`	`41`
`84`	`84`	`0.01(190476)`	`6`
`85`	`85`	`0.0(1176470588235294)`	`16`

`86`	`86`	`0.0(116279069767441860465)`	`21`
`87`	`87`	`0.(0114942528735632183908045977)`	`28`
`88`	`88`	`0.011(36)`	`2`
`89`	`89`	`0.(01123595505617977528089887640449438202247191)`	`44`
`90`	`90`	`0.0(1)`	`1`

`91`	`91`	`0.(010989)`	`6`
`92`	`92`	`0.01(0869565217391304347826)`	`22`
`93`	`93`	`0.(010752688172043)`	`15`
`94`	`94`	`0.0(1063829787234042553191489361702127659574468085)`	`46`
`95`	`95`	`0.0(105263157894736842)`	`18`

`96`	`96`	`0.01041(6)`	`1`
`97`	`97`	`0.(010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185567)`	`96`
`98`	`98`	`0.0(102040816326530612244897959183673469387755)`	`42`
`99`	`99`	`0.(01)`	`2`
`100`	`100`	`0.01`	`0`

`101`	`101`	`0.(0099)`	`4`
`102`	`102`	`0.0(0980392156862745)`	`16`
`103`	`103`	`0.(0097087378640776699029126213592233)`	`34`
`104`	`104`	`0.009(615384)`	`6`
`105`	`105`	`0.0(095238)`	`6`

`106`	`106`	`0.0(0943396226415)`	`13`
`107`	`107`	`0.(00934579439252336448598130841121495327102803738317757)`	`53`
`108`	`108`	`0.00(925)`	`3`
`109`	`109`	`0.(009174311926605504587155963302752293577981651376146788990825688073394495412844036697247706422018348623853211)`	`108`
`110`	`110`	`0.0(09)`	`2`

`111`	`111`	`0.(009)`	`3`
`112`	`112`	`0.0089(285714)`	`6`
`113`	`113`	`0.(0088495575221238938053097345132743362831858407079646017699115044247787610619469026548672566371681415929203539823)`	`112`
`114`	`114`	`0.0(087719298245614035)`	`18`
`115`	`115`	`0.0(0869565217391304347826)`	`22`

`116`	`116`	`0.00(8620689655172413793103448275)`	`28`
`117`	`117`	`0.(008547)`	`6`
`118`	`118`	`0.0(0847457627118644067796610169491525423728813559322033898305)`	`58`
`119`	`119`	`0.(008403361344537815126050420168067226890756302521)`	`48`
`120`	`120`	`0.008(3)`	`1`

`121`	`121`	`0.(0082644628099173553719)`	`22`
`122`	`122`	`0.0(081967213114754098360655737704918032786885245901639344262295)`	`60`
`123`	`123`	`0.(00813)`	`5`
`124`	`124`	`0.00(806451612903225)`	`15`
`125`	`125`	`0.008`	`0`

`126`	`126`	`0.0(079365)`	`6`
`127`	`127`	`0.(007874015748031496062992125984251968503937)`	`42`
`128`	`128`	`0.0078125`	`0`
`129`	`129`	`0.(007751937984496124031)`	`21`
`130`	`130`	`0.0(076923)`	`6`

`131`	`131`	`0.(0076335877862595419847328244274809160305343511450381679389312977099236641221374045801526717557251908396946564885496183206106870229)`	`130`
`132`	`132`	`0.00(75)`	`2`
`133`	`133`	`0.(007518796992481203)`	`18`
`134`	`134`	`0.0(074626865671641791044776119402985)`	`33`
`135`	`135`	`0.0(074)`	`3`

`136`	`136`	`0.007(3529411764705882)`	`16`
`137`	`137`	`0.(00729927)`	`8`
`138`	`138`	`0.0(0724637681159420289855)`	`22`
`139`	`139`	`0.(0071942446043165467625899280575539568345323741)`	`46`
`140`	`140`	`0.00(714285)`	`6`

`141`	`141`	`0.(0070921985815602836879432624113475177304964539)`	`46`
`142`	`142`	`0.0(07042253521126760563380281690140845)`	`35`
`143`	`143`	`0.(006993)`	`6`
`144`	`144`	`0.0069(4)`	`1`
`145`	`145`	`0.0(0689655172413793103448275862)`	`28`

`146`	`146`	`0.0(06849315)`	`8`
`147`	`147`	`0.(006802721088435374149659863945578231292517)`	`42`
`148`	`148`	`0.00(675)`	`3`
`149`	`149`	`0.(0067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966442953020134228187919463087248322147651)`	`148`
`150`	`150`	`0.00(6)`	`1`

`151`	`151`	`0.(006622516556291390728476821192052980132450331125827814569536423841059602649)`	`75`
`152`	`152`	`0.006(578947368421052631)`	`18`
`153`	`153`	`0.(0065359477124183)`	`16`
`154`	`154`	`0.0(064935)`	`6`
`155`	`155`	`0.0(064516129032258)`	`15`

`156`	`156`	`0.00(641025)`	`6`
`157`	`157`	`0.(006369426751592356687898089171974522292993630573248407643312101910828025477707)`	`78`
`158`	`158`	`0.0(0632911392405)`	`13`
`159`	`159`	`0.(0062893081761)`	`13`
`160`	`160`	`0.00625`	`0`

`161`	`161`	`0.(006211180124223602484472049689440993788819875776397515527950310559)`	`66`
`162`	`162`	`0.0(061728395)`	`9`
`163`	`163`	`0.(006134969325153374233128834355828220858895705521472392638036809815950920245398773)`	`81`
`164`	`164`	`0.00(60975)`	`5`
`165`	`165`	`0.0(06)`	`2`

`166`	`166`	`0.0(06024096385542168674698795180722891566265)`	`41`
`167`	`167`	`0.(0059880239520958083832335329341317365269461077844311377245508982035928143712574850299401197604790419161676646706586826347305389221556886227544910179640718562874251497)`	`166`
`168`	`168`	`0.005(952380)`	`6`
`169`	`169`	`0.(005917159763313609467455621301775147928994082840236686390532544378698224852071)`	`78`
`170`	`170`	`0.0(0588235294117647)`	`16`

`171`	`171`	`0.(005847953216374269)`	`18`
`172`	`172`	`0.00(581395348837209302325)`	`21`
`173`	`173`	`0.(0057803468208092485549132947976878612716763)`	`43`
`174`	`174`	`0.0(0574712643678160919540229885)`	`28`
`175`	`175`	`0.00(571428)`	`6`

`176`	`176`	`0.0056(81)`	`2`
`177`	`177`	`0.(0056497175141242937853107344632768361581920903954802259887)`	`58`
`178`	`178`	`0.0(05617977528089887640449438202247191011235955)`	`44`
`179`	`179`	`0.(0055865921787709497206703910614525139664804469273743016759776536312849162011173184357541899441340782122905027932960893854748603351955307262569832402234636871508379888268156424581)`	`178`
`180`	`180`	`0.00(5)`	`1`

`181`	`181`	`0.(005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767955801104972375690607734806629834254143646408839779)`	`180`
`182`	`182`	`0.0(054945)`	`6`
`183`	`183`	`0.(005464480874316939890710382513661202185792349726775956284153)`	`60`
`184`	`184`	`0.005(4347826086956521739130)`	`22`
`185`	`185`	`0.0(054)`	`3`

`186`	`186`	`0.0(053763440860215)`	`15`
`187`	`187`	`0.(0053475935828877)`	`16`
`188`	`188`	`0.00(5319148936170212765957446808510638297872340425)`	`46`
`189`	`189`	`0.(005291)`	`6`
`190`	`190`	`0.0(052631578947368421)`	`18`

`191`	`191`	`0.(00523560209424083769633507853403141361256544502617801047120418848167539267015706806282722513089)`	`95`
`192`	`192`	`0.005208(3)`	`1`
`193`	`193`	`0.(005181347150259067357512953367875647668393782383419689119170984455958549222797927461139896373056994818652849740932642487046632124352331606217616580310880829015544041450777202072538860103626943)`	`192`
`194`	`194`	`0.0(051546391752577319587628865979381443298969072164948453608247422680412371134020618556701030927835)`	`96`
`195`	`195`	`0.0(051282)`	`6`

`196`	`196`	`0.00(510204081632653061224489795918367346938775)`	`42`
`197`	`197`	`0.(00507614213197969543147208121827411167512690355329949238578680203045685279187817258883248730964467)`	`98`
`198`	`198`	`0.0(05)`	`2`
`199`	`199`	`0.(005025125628140703517587939698492462311557788944723618090452261306532663316582914572864321608040201)`	`99`
`200`	`200`	`0.005`	`0`