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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 \[\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\dfrac{-3}{\dfrac{131}{9}}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{-\dfrac{89}{7}+\dfrac{69}{2}+\dfrac{129}{5}}{\left(-3\right)\times\left(-\dfrac{114}{5}\right)\times\left(-\dfrac{114}{5}\right)}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{62}{11}+\dfrac{58}{9}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\dfrac{-3}{\dfrac{131}{9}}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{-\dfrac{89}{7}+\dfrac{69}{2}+\dfrac{129}{5}}{\left(-3\right)\times\left(-\dfrac{114}{5}\right)\times\left(-\dfrac{114}{5}\right)}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{62}{11}+\dfrac{58}{9}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)=-\dfrac{1.6350079758237E+24}{1.951662395291E+20}\) . Voici le détail : \begin{eqnarray*} X &=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{-\dfrac{89}{7}+\dfrac{69}{2}+\dfrac{129}{5}}{\left(-3\right)\times\left(-\dfrac{114}{5}\right)\times\left(-\dfrac{114}{5}\right)}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{62}{11}+\dfrac{58}{9}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{305}{14}+\dfrac{129}{5}}{\left(-3\right)\times\left(-\dfrac{114}{5}\right)\times\left(-\dfrac{114}{5}\right)}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{62}{11}+\dfrac{58}{9}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{\left(-3\right)\times\left(-\dfrac{114}{5}\right)\times\left(-\dfrac{114}{5}\right)}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{62}{11}+\dfrac{58}{9}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{\dfrac{342}{5}\times\left(-\dfrac{114}{5}\right)}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{62}{11}+\dfrac{58}{9}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{62}{11}+\dfrac{58}{9}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{1196}{99}-11}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{58}{9}+3+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\left(-\dfrac{31}{9}+9\right)-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{\dfrac{41}{4}}{\dfrac{131}{9}}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{69}{2}+9+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+11\times9\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\left(-\dfrac{58}{9}\right)\times11\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\left(-\dfrac{638}{9}\right)\times\left(-\dfrac{27}{131}\right)-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}-\dfrac{\dfrac{3331}{70}}{-\dfrac{38988}{25}}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{131}{9}+\dfrac{107}{99}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\left(-\dfrac{23}{2}\right)\times\left(-\dfrac{114}{5}\right)}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\left(\dfrac{50}{9}-\dfrac{369}{524}\right)-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}-\left(-\dfrac{89}{7}\right)\times\dfrac{41}{4}\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}-\left(-\dfrac{3649}{28}\right)\times\dfrac{129}{5}\right)\right)\\&=&\left(\dfrac{87}{2}+99\right)\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\left(11+\dfrac{1914}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\left(\dfrac{3355}{131}-\dfrac{89}{7}\right)\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\dfrac{11826}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{129}{5}+\dfrac{16655}{545832}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\dfrac{11826}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\left(\dfrac{70495603}{2729160}+\dfrac{114}{5}\right)-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\dfrac{11826}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\dfrac{132720451}{2729160}-\dfrac{\dfrac{9}{\dfrac{172}{11}}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\dfrac{11826}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\dfrac{132720451}{2729160}-\dfrac{\dfrac{99}{172}}{\dfrac{1311}{5}}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\dfrac{11826}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\dfrac{132720451}{2729160}-\dfrac{165}{75164}-\left(11-\dfrac{22879}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\dfrac{11826}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\dfrac{132720451}{2729160}-\dfrac{165}{75164}-\left(\dfrac{28997}{4716}+\dfrac{470721}{140}\right)\right)\\&=&\dfrac{285}{2}\times\dfrac{11826}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\dfrac{132720451}{2729160}-\dfrac{165}{75164}-\dfrac{2223979816}{660240}\right)\\&=&\dfrac{1685205}{917}\times\left(-\dfrac{70}{11}\right)-\left(\dfrac{62}{11}-3\right)-\left(\dfrac{132720451}{2729160}-\dfrac{165}{75164}-\dfrac{2223979816}{660240}\right)\\&=&-\dfrac{16852050}{1441}-\left(\dfrac{62}{11}-3\right)-\left(\dfrac{132720451}{2729160}-\dfrac{165}{75164}-\dfrac{2223979816}{660240}\right)\\&=&-\dfrac{16852050}{1441}-\dfrac{29}{11}-\left(\dfrac{132720451}{2729160}-\dfrac{165}{75164}-\dfrac{2223979816}{660240}\right)\\&=&-\dfrac{16852050}{1441}-\dfrac{29}{11}-\left(\dfrac{9975349667564}{205134582240}-\dfrac{2223979816}{660240}\right)\\&=&-\dfrac{16852050}{1441}-\dfrac{29}{11}+\dfrac{4.4962904560084E+20}{135438056578137600}\\&=&-\dfrac{16855849}{1441}+\dfrac{4.4962904560084E+20}{135438056578137600}\\&=&-\dfrac{1.6350079758237E+24}{1.951662395291E+20}\\ \end{eqnarray*}