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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 \[\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-\dfrac{\dfrac{\dfrac{3}{-\dfrac{49}{12}}}{4}}{0}\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\left(-\dfrac{25}{2}\right)\times\left(-\dfrac{49}{12}\right)\times\dfrac{62}{7}+0}{\left(4+\dfrac{25}{2}\right)-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-\dfrac{\dfrac{\dfrac{3}{-\dfrac{49}{12}}}{4}}{0}\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\left(-\dfrac{25}{2}\right)\times\left(-\dfrac{49}{12}\right)\times\dfrac{62}{7}+0}{\left(4+\dfrac{25}{2}\right)-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}=\dfrac{3258478973505}{10474200000}\) . Voici le détail : \begin{eqnarray*} X &=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-\dfrac{\dfrac{-\dfrac{36}{49}}{4}}{0}\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\left(-\dfrac{25}{2}\right)\times\left(-\dfrac{49}{12}\right)\times\dfrac{62}{7}+0}{\left(4+\dfrac{25}{2}\right)-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-\dfrac{-\dfrac{9}{49}}{0}\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\left(-\dfrac{25}{2}\right)\times\left(-\dfrac{49}{12}\right)\times\dfrac{62}{7}+0}{\left(4+\dfrac{25}{2}\right)-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\left(-\dfrac{25}{2}\right)\times\left(-\dfrac{49}{12}\right)\times\dfrac{62}{7}+0}{\left(4+\dfrac{25}{2}\right)-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{1225}{24}\times\dfrac{62}{7}+0}{\left(4+\dfrac{25}{2}\right)-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\left(4+\dfrac{25}{2}\right)-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{62}{7}\times4}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{\dfrac{\dfrac{3}{4}}{-\dfrac{92}{9}}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(\dfrac{-\dfrac{27}{368}}{\dfrac{62}{7}}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{\dfrac{62}{7}\times\left(-\dfrac{7}{5}\right)}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{\dfrac{15}{2}-\dfrac{7}{5}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{\dfrac{61}{10}-\dfrac{25}{2}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{-\dfrac{32}{5}+\dfrac{47}{5}}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\left(\dfrac{62}{7}-0\right)\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{4+\dfrac{1}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{13}{3}+\dfrac{5425}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}+0}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{\dfrac{33}{2}-\dfrac{248}{7}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(10\times\dfrac{15}{2}\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(75\times\left(-\dfrac{49}{12}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\left(-\dfrac{1225}{4}\right)\times\left(-\dfrac{92}{9}\right)-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\left(-\dfrac{189}{22816}+\dfrac{7}{5}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\dfrac{158767}{114080}\times\dfrac{\dfrac{\dfrac{-\dfrac{62}{5}}{3}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\dfrac{158767}{114080}\times\dfrac{\dfrac{-\dfrac{62}{15}}{11}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\dfrac{158767}{114080}\times\dfrac{-\dfrac{62}{165}}{-\dfrac{92}{9}}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{62}{7}\times\dfrac{62}{7}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\dfrac{158767}{114080}\times\dfrac{93}{2530}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{\dfrac{3844}{49}\times\left(-\dfrac{25}{2}\right)}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\dfrac{158767}{114080}\times\dfrac{93}{2530}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{-\dfrac{48050}{49}}{\dfrac{\dfrac{5477}{12}}{-\dfrac{265}{14}}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\dfrac{158767}{114080}\times\dfrac{93}{2530}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{-\dfrac{48050}{49}}{-\dfrac{38339}{1590}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28175}{9}-4-10\right)\times\dfrac{158767}{114080}\times\dfrac{93}{2530}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{-\dfrac{48050}{49}}{-\dfrac{38339}{1590}}}{0}+\left(-\dfrac{7}{5}\right)\times\left(\dfrac{28139}{9}-10\right)\times\dfrac{158767}{114080}\times\dfrac{93}{2530}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{-\dfrac{48050}{49}}{-\dfrac{38339}{1590}}}{0}+\left(-\dfrac{7}{5}\right)\times\dfrac{28049}{9}\times\dfrac{158767}{114080}\times\dfrac{93}{2530}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{-\dfrac{48050}{49}}{-\dfrac{38339}{1590}}}{0}+\left(-\dfrac{7}{5}\right)\times\dfrac{28049}{9}\times\dfrac{476301}{9310400}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&\dfrac{\dfrac{76399500}{1878611}}{0}+\left(-\dfrac{7}{5}\right)\times\dfrac{28049}{9}\times\dfrac{476301}{9310400}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&0+\left(-\dfrac{7}{5}\right)\times\dfrac{28049}{9}\times\dfrac{476301}{9310400}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&0+\left(-\dfrac{196343}{45}\right)\times\dfrac{476301}{9310400}\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&0+\left(-\dfrac{93518367243}{418968000}\right)\times\left(-\dfrac{7}{5}\right)-\dfrac{7}{5}\\&=&0+\dfrac{654628570701}{2094840000}-\dfrac{7}{5}\\&=&\dfrac{654628570701}{2094840000}-\dfrac{7}{5}\\&=&\dfrac{3258478973505}{10474200000}\\ \end{eqnarray*}