one = 1third = 1/3half = 1/2third + half = 5/6third - half = -1/6third * half = 1/6third / half = 2/3onePointTwo = 5404319552844595/4503599627370496double(onePointTwo) = 1.2a = 1a += half = 3/2a -= half = 1a *= half = 1/2a /= half = 1approxpi = 355/113double(approxpi) = 3.14159rpi = Rational(PI) = 884279719003555/281474976710656double(rpi) = 3.14159approxpi + rpi = 199847224979684595/31806672368304128approxpi - rpi = 8484881165/31806672368304128approxpi * rpi = 313919300246262025/31806672368304128approxpi / rpi = 19984723346456576/19984721649480343-approxpi = -355/113abs(negapproxpi) = 355/113enter a Rational in form a/b or a: number = 61727839/49382716approximating e as pow(1+1/n),n) for n =10double(approxe) = 2.59374log(approxe) = 0.953102approxe = 25937424601/10000000000approximating e as pow(1+1/n),n) for n =100double(approxe) = 2.70481log(approxe) = 0.995033approxe = 270481382942152609326719471080753083367793838278100277689020104911710151430673927943945601434674459097335651375483564268312519281766832427980496322329650055217977882315938008175933291885667484249510001/100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000approximating e as pow(1+1/n),n) for n =1000double(approxe) = 2.71692log(approxe) = 0.9995approxe = 2716923932235892457383088121947577188964315018836572803722354774868894945523768158997885697298661429053421034015406256924859461187617653889457753593083386399572063538500432650176144488046171044844121805479607648086607018742077798375087855857012278053105042704758822511824867218226931719410407150364389665913091822576819072281835735365786202176167228686198158460724641052407506305826211156964723064441295969498221919251479211700941935114755531972677360157561485144237786816579422141378066423317811515462669946309306263409027388915931082226854264858661420878279983534424128672461206356847463821364630504359665171573635397346037274752410368174877433941234543153511100471651472869116068528478976916600585383497180172395573924789047989563714318957536493108041591460911612078698461739084741934442448701416575483263891529095158013233115648534154086009312190489168546024398834243847135102411661996020129557921444666343641039137906807591342742464200991933722791531063202677650581946360422027765645970182463780273161113009717582155489902677095053354207944772439271656447869921825959042801322775729022491402012084605367784456090892987682547811360481731795980637847551788259384243997341190753089343387201753821360405430310320564488741142120089460368986590136324737459372963666586532443570474179352656517635333744783401695951969936296323256525034685525470426185224036844803487442831639483152362831735350269624668701702424450940840884555271325190876102665277858154695092765613639718577127438538649414492678358762110235621776218781360881010654696273264706319088453035858355052988808507775439561385232652305316287705653436727647681405618323757201022946801118770148072424021385261829594248369890171583993147934044232792517118743393217276416179842097554494269012251329134783596037733973478306188255291484352384699871420472711423079586319041837563678498472779422282261024744394844558738378027105699691260086532632930941478779680554645850778168703661423819000515895232903243738763481571999080702098369316199601942246247887808385073821861517636839926907458184604648942036355256683219218129910422822177336785268627274482037476294341444562207197209503659518266210432791078248321015453218019586608696207295299183111963158564162419152742807437346241667671688466998244424726765837682151606230638111654756595917019206453978024157097042546937345673337179165242325399648121877178987723999503839197328183925340949191821443698275476295245249466361817367207248089144718808572152781037112209285944844021186534832159964297181970584453756163204297111185823467744743465840230098261424789313315093951766314459027947176701489215746884363426961577348384651887153140609616362927338107686794499974902581579897076172716541504294334300741444106749994715713419630688719451362658288812132056854807330827050505064714442618243101018812153563795539024370219967801515099970721926240625418512417940854760415566229746248973756297569452302821563467574313259066016089521122779204844875998864114930516063910324359331903843040069467324167490917499501000001/100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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of test