S'il vous plaît, la dernière fois que je vous pose des questions. Aidez-moi avec ces exercices. J'ai.... Pergunta de ideia delina200793

lina200793 @lina200793

November 2020 1 96 Report

S'il vous plaît, la dernière fois que je vous pose des questions. Aidez-moi avec ces exercices. J'ai besoin de vous demain. Je dois y les rendre.

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$\rule{6cm}{1mm}$

✪ Calculons les expressions suivantes et donnons le résultat sous forme d'une fraction irréductible :

❶ Exo

$\:A = - \dfrac{12}{11} - \dfrac{20}{99} \div \dfrac{20}{33}$

$\:A = - \dfrac{12}{11} - \dfrac{20}{99} \times \dfrac{33}{20}$

$\:A = - \dfrac{12}{11} - \dfrac{33}{99}$

$\:A = - \dfrac{12}{11} - \dfrac{11}{33}$

$\:A = \dfrac{- 36 - 11}{33}$

$\:A = - \dfrac{47}{33}$

$\:B = - \dfrac{5}{4} \div ( \dfrac{13}{8} -\dfrac{- 8}{5})$

$\:B = - \dfrac{5}{4} \div ( \dfrac{13}{8} +\dfrac{ 8}{5})$

$\:B = - \dfrac{5}{4} \div \dfrac{65 + 64}{40}$

$\:B = - \dfrac{5}{4} \div \dfrac{129}{40}$

$\:B = - \dfrac{5}{4} \times \dfrac{40}{129}$

$\:B = - \dfrac{200}{516}$

$\:B = - \dfrac{50}{129}$

$\:C = \dfrac{\dfrac{7}{2} + 10}{\dfrac{4}{3} + 6}$

$\:C = \dfrac{\dfrac{7 + 20}{2} }{\dfrac{4 + 18}{3}}$

$\:C = \dfrac{\dfrac{27}{2} }{\dfrac{22}{3}}$

$\:C = \dfrac{27}{2} \times \dfrac{3}{22}$

$\:C = \dfrac{81}{44}$

$\rule{6cm}{1mm}$

❷ Exo

$\:A = 9 + \dfrac{- 1}{10} \times \dfrac{7}{5}$

$\:A = 9 - \dfrac{7}{50}$

$\:A = \dfrac{450 - 7}{50}$

$\:A = \dfrac{443}{50}$

$\:B = \dfrac{\dfrac{8}{3} + 5}{\dfrac{- 2}{3} + 1}$

$\:B = \dfrac{\dfrac{8 + 15}{3} }{\dfrac{- 2 + 3}{3}}$

$\:B = \dfrac{\dfrac{23}{3} }{\dfrac{1}{3}}$

$\:B = \dfrac{23}{3} \times 3$

$\:B = 23$

$\:C = \dfrac{5}{4} \div ( \dfrac{- 2}{9} +\dfrac{ 5}{8})$

$\:C = \dfrac{5}{4} \div \dfrac{- 16 + 40}{72}$

$\:C = \dfrac{5}{4} \div \dfrac{24}{72}$

$\:C = \dfrac{5}{4} \times \dfrac{72}{24}$

$\:C = \dfrac{360}{96}$

$\:C = \dfrac{15}{4}$

$\rule{6cm}{1mm}$

❸ Exo

$A = \dfrac{4}{3} \div (\dfrac{1}{6} - \dfrac{13}{5})$

$A = \dfrac{4}{3} \div \dfrac{5 - 78}{30}$

$A = \dfrac{4}{3} \div \dfrac{- 73}{30}$

$A = \dfrac{4}{3} \times \dfrac{- 30}{73}$

$A = - \dfrac{120}{219}$

$A = - \dfrac{40}{73}$

$\:B = \dfrac{\dfrac{4}{7} - 2}{\dfrac{- 7}{8} + 1}$

$\:B = \dfrac{\dfrac{4 - 14}{7} }{\dfrac{- 7 + 8}{8}}$

$\:B = \dfrac{\dfrac{- 10}{7} }{\dfrac{1}{8}}$

$\:B = \dfrac{- 10}{7} \times 8$

$\:B = - \dfrac{ 80}{7}$

$\:C = 9 - \dfrac{9}{10} \times \dfrac{80}{27}$

$\:C = 9 - \dfrac{720}{270}$

$\:C = 9 - \dfrac{8}{3}$

$\:C = \dfrac{27 - 8}{3}$

$\:C = \dfrac{19}{3}$

$\rule{6cm}{1mm}$

❹ Exo

Exo

$\:A = \dfrac{\dfrac{9}{4} - 8}{\dfrac{- 1}{2} - 2}$

$\:A = \dfrac{\dfrac{9 - 32}{4} }{\dfrac{- 1 - 4}{2}}$

$\:A = \dfrac{\dfrac{- 23}{4} }{\dfrac{- 5}{2}}$

$\:A = \dfrac{- 23}{4} \times \dfrac{- 2}{5}$

$\:A = \dfrac{46}{20}$

$\:A = \dfrac{23}{10}$

$\:B = - 63 - \dfrac{- 7}{5} \times \dfrac{3}{28}$

$\:B = 9 + \dfrac{21}{140}$

$\:B = \dfrac{1260 + 21}{140}$

$\:B = \dfrac{1281}{140}$

$\:B = \dfrac{183}{20}$

$C = \dfrac{- 1}{3} \div (\dfrac{1}{5} + \dfrac{6}{7})$

$C = \dfrac{- 1}{3} \div \dfrac{7 + 30}{35}$

$C = \dfrac{- 1}{3} \div \dfrac{37}{30}$

$C = \dfrac{4}{3} \times \dfrac{30}{37}$

$C = - \dfrac{120}{111}$

$C = - \dfrac{40}{37}$

❺ Exo

$\:A = - \dfrac{32}{7} - \dfrac{8}{21} \times \dfrac{49}{24}$

$\:A = - \dfrac{32}{7} - \dfrac{392}{504}$

$\:A = \dfrac{- 2304 - 392}{504}$

$\:A = - \dfrac{2696}{504}$

$\:A = - \dfrac{337}{63}$

$\:B = \dfrac{7}{8} \div ( \dfrac{- 7}{9} -\dfrac{- 11}{8})$

$\:B = \dfrac{7}{8} \div ( \dfrac{- 7}{9} +\dfrac{ 11}{8})$

$\:B = \dfrac{7}{8} \div \dfrac{- 56 + 99}{72}$

$\:B = \dfrac{7}{8} \div \dfrac{43}{72}$

$\:B = \dfrac{7}{8} \times \dfrac{72}{43}$

$\:B = \dfrac{504}{344}$

$\:B = \dfrac{63}{43}$

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