rat 2 dec with pari-gp

\\ So we have a rational number with nominator called 'p' and denom called 'q'.
\\ The person that gave us these numbers claims that the rational approximates Pi.
\\ We want to test this hypothesis.
\\ Using the following version of PARI/GP:
\\   GP/PARI CALCULATOR Version 2.9.4 (released)
\\   amd64 running linux (x86-64/GMP-6.1.2 kernel) 64-bit version
\\   compiled: Dec 19 2017, gcc version 7.3.0 (Ubuntu 7.3.0-1ubuntu1)
\\   threading engine: pthread
\\   (readline v7.0 disabled, extended help enabled)
\\
\\ For a more recent version check here: http://pari.math.u-bordeaux.fr/download.html

\\ First define the nominator.
p = 169621521599715008276219171512587640647841095442456069002320644182266868459617619753889122898655162183404136973947180752187359905902753260425513050548229467432513862416424894942454713985465278932529328431801828096801920887765994271135011232692744581328925613143089416369332765923820914844366872416498286310709782023849335976275636317740764835591903828756560907312090101454770517747287108619058818385005663195977504011488807928750255014263206030308478008789858365581938685005925857190843815093499376975642422198241136503493946530984537459852215831260865709362658168293949557761906738505201661019132792725659665127352812617496756168506523926285934972259335392327959749209119904008499118043974118384243889708663618255952472658431205999918317575607657740236649567997214307671993864889895393839141039506162002967032097850104329360630620037199839999142283857127423583660420412640713389114512448981659186654920369410109397250843678564086072047059266513900405454076350312323975218753628513160246104286440957540497492228327530693076123214774002565781816122426929452997664845839935152576597214412838642199080522538526785632514871374048614455166761773227562170331518842728241937247564343923818495125376084747425403562295453185186235744629977833817398516530400483769490658446407168075399793934693849926911293460509164677.
\\ %01 = 1.6962152159971500827621917151258764065 E1307

\\ Then define the denominator
q = 53992207234726675278961941928450302452822047623718564385150323747724701281112300190300106635808547972512609385998185753170427113716200847706128220369404709717036269053644161045979852353945911645945115429379410105679831222022124449171708573935148545356552619360430097618490856349218462434207739425221688438345427657734945388360754851355876703517025241721040065222250907032187978825511851598073604902050405347475910190484449194196262402616451203465800884163477391039657283777500697293141096800015886292794390305130398878990902018844921870933047995171901635986345004445034969192966427479779117696471307624934148805180535413821861248354813884290062923803439746267128219005135975738755802559525508507324875485007341328779475078894735722877157533192681548668962657606446758705361666748320254297731413043617929690439214061599103967718073490431270227525555253221083788818740709945739088997644645878720664836566515847158951628965993677079199266744574662134053159976336619213638568983033487260628088204640814188076260382314091548602410696939680031879020944602729449902120056631834098794391928608779141524686795239077451960200846097922780695588801746583663247036517735360081178649014537721782789452025926453581219061848116302188155364930920220240513762484943105388217395949984758122066857243133095444913227856394518646.
\\ %02 = 5.3992207234726675278961941928450302453 E1306

\\ Then do the division
p / q
\\ %03 = 3.1415926535897932384626433832795028842

\\ Compare the result of the division with the value of Pi in the current precision of the system.
Pi
\\ %04 = 3.1415926535897932384626433832795028842

\\ Checking again.
Pi - (p / q)
\\ %05 = 0.E-37

\\ Checking again.
Pi - (p / q) == 0
\\ %06 = 1

\\ Conclusion: According to the above results its apparent that the rational p/q approximates Pi with accuracy of 37 decimal digits.
\\ Not bad at all, PARI/GP. We'll surely talk with you again, thank you for your assistance.