☺ Salut ️☺️
[tex]\rule{6cm}{1mm}[/tex]
✪ Calculons les expressions suivantes et donnons le résultat sous forme d'une fraction irréductible :
❶ Exo
[tex]\:A = - \dfrac{12}{11} - \dfrac{20}{99} \div \dfrac{20}{33}[/tex]
[tex]\:A = - \dfrac{12}{11} - \dfrac{20}{99} \times \dfrac{33}{20}[/tex]
[tex]\:A = - \dfrac{12}{11} - \dfrac{33}{99}[/tex]
[tex]\:A = - \dfrac{12}{11} - \dfrac{11}{33}[/tex]
[tex]\:A = \dfrac{- 36 - 11}{33}[/tex]
[tex]\:A = - \dfrac{47}{33}[/tex]
[tex]\:B = - \dfrac{5}{4} \div ( \dfrac{13}{8} -\dfrac{- 8}{5})[/tex]
[tex]\:B = - \dfrac{5}{4} \div ( \dfrac{13}{8} +\dfrac{ 8}{5})[/tex]
[tex]\:B = - \dfrac{5}{4} \div \dfrac{65 + 64}{40}[/tex]
[tex]\:B = - \dfrac{5}{4} \div \dfrac{129}{40}[/tex]
[tex]\:B = - \dfrac{5}{4} \times \dfrac{40}{129}[/tex]
[tex]\:B = - \dfrac{200}{516} [/tex]
[tex]\:B = - \dfrac{50}{129} [/tex]
[tex]\:C = \dfrac{\dfrac{7}{2} + 10}{\dfrac{4}{3} + 6} [/tex]
[tex]\:C = \dfrac{\dfrac{7 + 20}{2} }{\dfrac{4 + 18}{3}} [/tex]
[tex]\:C = \dfrac{\dfrac{27}{2} }{\dfrac{22}{3}} [/tex]
[tex]\:C = \dfrac{27}{2} \times \dfrac{3}{22} [/tex]
[tex]\:C = \dfrac{81}{44} [/tex]
[tex]\rule{6cm}{1mm}[/tex]
❷ Exo
[tex]\:A = 9 + \dfrac{- 1}{10} \times \dfrac{7}{5}[/tex]
[tex]\:A = 9 - \dfrac{7}{50} [/tex]
[tex]\:A = \dfrac{450 - 7}{50} [/tex]
[tex]\:A = \dfrac{443}{50} [/tex]
[tex]\:B = \dfrac{\dfrac{8}{3} + 5}{\dfrac{- 2}{3} + 1} [/tex]
[tex]\:B = \dfrac{\dfrac{8 + 15}{3} }{\dfrac{- 2 + 3}{3}} [/tex]
[tex]\:B = \dfrac{\dfrac{23}{3} }{\dfrac{1}{3}} [/tex]
[tex]\:B = \dfrac{23}{3} \times 3[/tex]
[tex]\:B = 23 [/tex]
[tex]\rule{6cm}{1mm}[/tex]
❸ Exo
[tex]A = \dfrac{4}{3} \div (\dfrac{1}{6} - \dfrac{13}{5})[/tex]
[tex]A = \dfrac{4}{3} \div \dfrac{5 - 78}{30}[/tex]
[tex]A = \dfrac{4}{3} \div \dfrac{- 73}{30}[/tex]
[tex]A = \dfrac{4}{3} \times \dfrac{- 30}{73}[/tex]
[tex]A = - \dfrac{120}{219} [/tex]
[tex]A = - \dfrac{40}{73} [/tex]
[tex]\:B = \dfrac{\dfrac{4}{7} - 2}{\dfrac{- 7}{8} + 1} [/tex]
[tex]\:B = \dfrac{\dfrac{4 - 14}{7} }{\dfrac{- 7 + 8}{8}} [/tex]
[tex]\:B = \dfrac{\dfrac{- 10}{7} }{\dfrac{1}{8}} [/tex]
[tex]\:B = \dfrac{- 10}{7} \times 8[/tex]
[tex]\:B = - \dfrac{ 80}{7}[/tex]
[tex]\:C = 9 - \dfrac{9}{10} \times \dfrac{80}{27} [/tex]
[tex]\:C = 9 - \dfrac{720}{270} [/tex]
[tex]\:C = 9 - \dfrac{8}{3} [/tex]
[tex]\:C = \dfrac{27 - 8}{3} [/tex]
[tex]\:C = \dfrac{19}{3} [/tex]
[tex]\rule{6cm}{1mm}[/tex]
❹ Exo
Exo
[tex]\:A = \dfrac{\dfrac{9}{4} - 8}{\dfrac{- 1}{2} - 2} [/tex]
[tex]\:A = \dfrac{\dfrac{9 - 32}{4} }{\dfrac{- 1 - 4}{2}} [/tex]
[tex]\:A = \dfrac{\dfrac{- 23}{4} }{\dfrac{- 5}{2}} [/tex]
[tex]\:A = \dfrac{- 23}{4} \times \dfrac{- 2}{5}[/tex]
[tex]\:A = \dfrac{46}{20}[/tex]
[tex]\:A = \dfrac{23}{10}[/tex]
[tex]\rule{6cm}{1mm}[/tex]
❺ Exo
[tex]\:A = - \dfrac{32}{7} - \dfrac{8}{21} \times \dfrac{49}{24}[/tex]
[tex]\:A = - \dfrac{32}{7} - \dfrac{392}{504}[/tex]
[tex]\:A = \dfrac{- 2304 - 392}{504}[/tex]
[tex]\:A = - \dfrac{2696}{504}[/tex]
[tex]\:A = - \dfrac{337}{63}[/tex]
[tex]\:B = \dfrac{7}{8} \div ( \dfrac{- 7}{9} -\dfrac{- 11}{8})[/tex]
[tex]\:B = \dfrac{7}{8} \div ( \dfrac{- 7}{9} +\dfrac{ 11}{8})[/tex]
[tex]\:B = \dfrac{7}{8} \div \dfrac{- 56 + 99}{72}[/tex]
[tex]\:B = \dfrac{7}{8} \div \dfrac{43}{72}[/tex]
[tex]\:B = \dfrac{7}{8} \times \dfrac{72}{43}[/tex]
[tex]\:B = \dfrac{504}{344} [/tex]
[tex]\:B = \dfrac{63}{43} [/tex]
[tex]\rule{6cm}{1mm}[/tex]
