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Exercice

L'exercice suivant est automatiquement et aléatoirement généré par ataraXy.
Si vous regénérez la page (F5) les valeurs seront changées.
La correction se trouve en bas de page.

Exercice


Calculer \[-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\left(-\dfrac{127}{8}\right)\times\left(-\dfrac{18}{5}\right)\times4\times\dfrac{22}{3}\times\left(-1\right)}}{-12}}{4}}{\left(\dfrac{12}{11}-1+9\right)\times\dfrac{12}{11}\times\dfrac{12}{11}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\left(-\dfrac{127}{8}\right)\times\left(-\dfrac{18}{5}\right)\times4\times\dfrac{22}{3}\times\left(-1\right)}}{-12}}{4}}{\left(\dfrac{12}{11}-1+9\right)\times\dfrac{12}{11}\times\dfrac{12}{11}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}=-\dfrac{1.0842373394004E+24}{6.1497887057183E+21}\) . Voici le détail : \begin{eqnarray*} X &=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{1143}{20}\times4\times\dfrac{22}{3}\times\left(-1\right)}}{-12}}{4}}{\left(\dfrac{12}{11}-1+9\right)\times\dfrac{12}{11}\times\dfrac{12}{11}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{1143}{5}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}}{4}}{\left(\dfrac{12}{11}-1+9\right)\times\dfrac{12}{11}\times\dfrac{12}{11}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\left(\dfrac{12}{11}-1+9\right)\times\dfrac{12}{11}\times\dfrac{12}{11}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\left(\dfrac{1}{11}+9\right)\times\dfrac{12}{11}\times\dfrac{12}{11}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{12}{11}\times\dfrac{12}{11}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{144}{121}\times\dfrac{67}{2}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{19}{2}+\dfrac{18}{5}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\left(-\dfrac{18}{5}\right)\times\dfrac{22}{3}\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\left(-\dfrac{132}{5}\right)\times\dfrac{22}{3}\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\left(-\dfrac{968}{5}\right)\times\left(-1\right)}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{19}{2}+9+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{-\dfrac{1}{2}+\dfrac{67}{2}-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{33-\dfrac{42}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\left(-\dfrac{42}{5}\right)\times\left(-\dfrac{18}{5}\right)}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{\dfrac{35}{4}-\dfrac{109}{11}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-11-\dfrac{109}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{\dfrac{8382}{5}\times\left(-1\right)}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{100}{11}\times\dfrac{4824}{121}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{\dfrac{\dfrac{-\dfrac{59}{10}}{\dfrac{35}{4}}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{\dfrac{-\dfrac{118}{175}}{\dfrac{968}{5}}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{-\dfrac{59}{16940}}{-12}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{59}{203280}-\dfrac{18}{5}+\dfrac{\dfrac{123}{5}}{\dfrac{756}{25}}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{-\dfrac{51}{44}}{-\dfrac{42}{5}}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{59}{203280}-\dfrac{18}{5}+\dfrac{205}{252}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{\dfrac{\dfrac{85}{616}}{-\dfrac{230}{11}}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{59}{203280}-\dfrac{18}{5}+\dfrac{205}{252}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{-\dfrac{17}{2576}}-\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{69}{2}}{-\dfrac{8382}{5}}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{59}{203280}-\dfrac{18}{5}+\dfrac{205}{252}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{-\dfrac{17}{2576}}-\dfrac{\dfrac{\dfrac{\dfrac{115}{5588}}{-12}}{4}}{\dfrac{482400}{1331}+\dfrac{59}{203280}-\dfrac{18}{5}+\dfrac{205}{252}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{-\dfrac{17}{2576}}-\dfrac{\dfrac{-\dfrac{115}{67056}}{4}}{\dfrac{482400}{1331}+\dfrac{59}{203280}-\dfrac{18}{5}+\dfrac{205}{252}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{-\dfrac{17}{2576}}-\dfrac{\dfrac{-\dfrac{115}{67056}}{4}}{\dfrac{98062350529}{270565680}-\dfrac{18}{5}+\dfrac{205}{252}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{-\dfrac{17}{2576}}-\dfrac{\dfrac{-\dfrac{115}{67056}}{4}}{\dfrac{485441570405}{1352828400}+\dfrac{205}{252}}\\&=&-11-\dfrac{\dfrac{\dfrac{12}{11}}{-1}}{-\dfrac{17}{2576}}-\dfrac{\dfrac{-\dfrac{115}{67056}}{4}}{\dfrac{122608605564060}{340912756800}}\\&=&-11-\dfrac{-\dfrac{12}{11}}{-\dfrac{17}{2576}}-\dfrac{\dfrac{-\dfrac{115}{67056}}{4}}{\dfrac{122608605564060}{340912756800}}\\&=&-11-\dfrac{30912}{187}-\dfrac{\dfrac{-\dfrac{115}{67056}}{4}}{\dfrac{122608605564060}{340912756800}}\\&=&-11-\dfrac{30912}{187}-\dfrac{-\dfrac{115}{268224}}{\dfrac{122608605564060}{340912756800}}\\&=&-11-\dfrac{30912}{187}+\dfrac{39204967032000}{3.2886570618814E+19}\\&=&-\dfrac{32969}{187}+\dfrac{39204967032000}{3.2886570618814E+19}\\&=&-\dfrac{1.0842373394004E+24}{6.1497887057183E+21}\\ \end{eqnarray*}