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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 \[\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12-\dfrac{127}{12}\times\left(-\dfrac{9}{5}\right)-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9-\dfrac{7}{3}+\dfrac{47}{2}-\dfrac{9}{5}-3+0-2-2+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12-\dfrac{127}{12}\times\left(-\dfrac{9}{5}\right)-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9-\dfrac{7}{3}+\dfrac{47}{2}-\dfrac{9}{5}-3+0-2-2+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}=-\dfrac{1661492}{4676935}\) . Voici le détail : \begin{eqnarray*} X &=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9-\dfrac{7}{3}+\dfrac{47}{2}-\dfrac{9}{5}-3+0-2-2+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{127}{6}-\dfrac{9}{5}-3+0-2-2+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{581}{30}-3+0-2-2+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+0-2-2+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}-2-2+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}-4+\dfrac{127}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}+\left(\dfrac{127}{12}-\dfrac{23}{2}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}+\left(-\dfrac{11}{12}-0\right)-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-\left(9+9+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-\left(18+0\right)+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-7-3-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-10-4}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(\left(-4+5-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(\left(1-0\right)-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-\dfrac{\dfrac{\dfrac{47}{2}}{-3}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-\dfrac{-\dfrac{47}{6}}{0}\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\left(\dfrac{127}{12}+0\right)\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)+9-12+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-3+\dfrac{381}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)+\dfrac{321}{20}-\dfrac{47}{2}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{9+\dfrac{491}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{761}{30}+\dfrac{79}{12}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{11}{12}-\dfrac{80}{7}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{1037}{84}-0-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{1037}{84}-18+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{2549}{84}+1+\dfrac{-4}{-14}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{2549}{84}+1+\dfrac{2}{7}}}{-3}}{\left(1-0\right)-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7+\dfrac{127}{12}\times\left(-3\right)-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{2549}{84}+1+\dfrac{2}{7}}}{-3}}{1-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{149}{20}-\dfrac{7}{3}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{2549}{84}+1+\dfrac{2}{7}}}{-3}}{1-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}+\dfrac{-7}{\dfrac{23}{2}}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{2549}{84}+1+\dfrac{2}{7}}}{-3}}{1-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{639}{20}-\dfrac{2549}{84}+1+\dfrac{2}{7}}}{-3}}{1-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{337}{210}+1+\dfrac{2}{7}}}{-3}}{1-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{547}{210}+\dfrac{2}{7}}}{-3}}{1-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{607}{210}}}{-3}}{1-\dfrac{47}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{607}{210}}}{-3}}{-\dfrac{45}{2}-\dfrac{47}{2}-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{607}{210}}}{-3}}{-46-\dfrac{80}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-7-\dfrac{127}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{607}{210}}}{-3}}{-\dfrac{402}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-\dfrac{155}{4}-\dfrac{587}{60}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{607}{210}}}{-3}}{-\dfrac{402}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times\left(-\dfrac{728}{15}-\dfrac{14}{23}\right)\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{607}{210}}}{-3}}{-\dfrac{402}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times-\dfrac{16954}{345}\times\dfrac{\dfrac{\dfrac{-2}{\dfrac{607}{210}}}{-3}}{-\dfrac{402}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times-\dfrac{16954}{345}\times\dfrac{\dfrac{-\dfrac{420}{607}}{-3}}{-\dfrac{402}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times-\dfrac{16954}{345}\times\dfrac{\dfrac{140}{607}}{-\dfrac{402}{7}}\\&=&\left(-\dfrac{9}{5}\right)\times-\dfrac{16954}{345}\times\left(-\dfrac{490}{122007}\right)\\&=&\dfrac{50862}{575}\times\left(-\dfrac{490}{122007}\right)\\&=&-\dfrac{1661492}{4676935}\\ \end{eqnarray*}