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ekadhikena purvena of 1/9,1/19,1/29,1/39....... astounding idea vedic math



The Vedic Mathematics way : by using the Sutra ekadhiken Purvena which means "by one more than the previous one" and can be used when the denominator ends in 9. so with the help of this numbers of the form 1/9,1/19,1/29,1/39.............. can be computed Guys just enter any number which has unit digit 9 for example if you type 6199 ,it will calculate 1/6199.
for e.g if you type 19 it will calculate 1/19
1/19=0.052631578947368421052631578947368421052631...................
after 18 digits the numbers are repeated.
similarly for
1/29=0.03448275862068965517241379310344827586206896551724137931034482........
after 28 digits the numbers are repeated.
but for
1/39=0.0256410256410256410256...................
after 6 digits the numbers are repeated.
and for
1/49=0.0204081632653061224489795918367346938775510204081632.........
after 42 digits the numbers are repeated.
and for
1/1729=0.00057836899942163100057836899942163100057836..................
after 18 digits the numbers are repeated
but for bigger numbers you can't check in calculator and in those case this program may help you
http://www.planet-source-code.com/vb/scripts/ShowCode.asp?txtCodeId=13414&lngWId=3
Note:
After downloading only two simple modifications are required ,the first one is
remove these four lines
if(n==49)

y=21;

if(n==289)

y=136;

and replace it by
if((n==49)||(n==289)||(n==2209)||(n==4489)||(n=9409))

y=(sqrt(n)*((sqrt(n)-1)))/2;

and in order to use the sqrt function include the header file
#include<math.h>
so that program will work flawlessly
but any number of the above form will repeat after certain digits but some numbers will take more digits whereas some will take less
for e.g if you give 99 it will display 0.101 (i.e it will repeat after 3 digits itself)
whereas if you give 5789 see after how many digits it will repeat
After 2478 digits the same digits repeats
so answer(recurring decimal) is 0.000172741406115045776472620487130765244429089
65278977370875798929003282086716185869752979789255484539644152703403005700466401
79651062359647607531525306615995854206253238901364657108308861634133701848333045
43098980825703921229918811539125928485057868371048540335118327863188806356883745
03368457419243392641216099499049922266367248229400587320780791155640006909656244
60183105890481948523060977716358611159094835031957160131283468647434790119191570
21938158576610813612022801865607186042494385904301261012264639834168250129556054
58628433235446536534807393332181723959233028156849196752461565037139402314734841
94161340473311452755225427534980134738296769735705648643979961996890654689929176
02349283123164622560027638624978407324235619277940922439108654344446363793401278
28640525133874589739160476766280877526343064432544480912074624287441699775436172
05044049058559336673000518224218345137329417861461392295733287268958369321126273
96787009846260148557609258939367766453618932458110209017101399205389531870789428
22594575919847987562618759716704093971324926584902401105544999136292969424771117
63689756434617377785455173605113145621005354983589566419070651235101053722577301
77923648298497149766799101744688201761962342373466920020728968733805493176714458
45569182933149075833477284505095871480393850405942304370357574710658144757298324
40836068405596821558127483157712903783036793919502504750388668163758852997063396
09604422179996545171877699084470547590257384695111418206944204525824840214199343
58265676282604940404214890309207116945931939885990671964069787528070478493694938
67680082915874935221972706857833822767317325963033339091380203834859215754016237
69217481430298842632579029193297633442736223872862325099326308516151321471756780
10019001554672655035411988253584384176887199861806875107963378821903610295387804
45672827776818103299360856797374330627051304197616168595612368284677837277595439
62687856279150112281913974779754707203316634997408878908274313352910692693038521
33356365520815339436863016064950768699257211953705303161167731905337709448954914
49300397305234064605285887027120400760062186906201416479530143375367075487994472
27500431853515287614441181551217826913111072724131974434271894973225082052167904
64674382449473138711349110381758507514251166004491276558991190188288132665399896
35515633097253411642770772154085334254620832613577474520642598030747970288478148
21212644670927621350837795819657972015892209362584211435481084816030402487476248
056659181205735014683019519778891
similarly if you give 6199 see the recurring decimal answer below
6199
so answer(recurring decimal) is 0.000161316341345378286820454912082593966768833
68285207291498628811098564284562026133247297951282464913695757380222616551056622
03581222777867397967414099048233586062268107759316018712695596063881271172769801
58090014518470721084045813840942087433457009195031456686562348765929988707856105
82351992256815615421842232618164220035489595095983223100500080658170672689143410
22745604129698338441684142603645749314405549282142281013066623648975641232456847
87869011130827552831101790611388933698983707049524116793031134053879658009356347
79803194063558638490079045007259235360542022906920471043716728504597515728343281
17438296499435392805291175996128407807710921116309082110017744797547991611550250
04032908533634457170511372802064849169220842071301822874657202774641071140506533
31182448782061622842393934505565413776415550895305694466849491853524762058396515
56702693982900467817389901597031779319245039522503629617680271011453460235521858
36425229875786417164058719148249717696402645587998064203903855460558154541055008
87239877399580577512502016454266817228585255686401032424584610421035650911437328
60138732053557025326665591224391030811421196967252782706888207775447652847233424
74592676238102919825778351346991450233908694950798515889659622519761251814808840
13550572673011776092918212614937893208582029359574124858848201322793999032101951
92773027907727052750443619938699790288756251008227133408614292627843200516212292
30521051782545571866430069366026778512663332795612195515405710598483626391353444
10388772382642361671237296338119051459912889175673495725116954347475399257944829
81125988062590740442006775286336505888046459106307468946604291014679787062429424
10066139699951605097596386513953863526375221809969349895144378125504113566704307
14631392160025810614615260525891272785933215034683013389256331666397806097757702
85529924181319567672205194386191321180835618648169059525729956444587836747862558
47717373769962897241490562994031295370221003387643168252944023229553153734473302
14550733989353121471205033069849975802548798193256976931763187610904984674947572
18906275205678335215357315696080012905307307630262945636392966607517341506694628
16583319890304887885142764962090659783836102597193095660590417809324084529762864
97822229391837393127923858686884981448620745281497015647685110501693821584126472
01161477657686723665107275366994676560735602516534924987901274399096628488465881
59380545249233747378609453137602839167607678657848040006452653653815131472818196
48330375867075334731408291659945152443942571382481045329891918051298596547830295
20890466204226488143248911114695918696563961929343442490724310372640748507823842
55525084691079206323600580738828843361832553637683497338280367801258267462493950
63719954831424423294079690272624616873689304726568801419583803839328924020003226
32682690756573640909824165187933537667365704145829972576221971285691240522664945
95902564929827391514760445233102113244071624455557347959348281980964671721245362
15518632037425391192127762542345539603161800290369414421680916276818841748669140
18390062913373124697531859977415712211647039845136312308436844652363284400709791
90191966446201


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