2/11 + 4/11 * ( 5/2 - 11/5 )
Mathématiques
maissou150
Question
2/11 + 4/11 * ( 5/2 - 11/5 )
1 Réponse
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1. Réponse Anonyme
Bonjour Maissou150
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5\times5}{2\times5} - \dfrac{11\times2}{5\times2})[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{25}{10} - \dfrac{22}{10})[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{25-22}{10})[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2}{11} + \dfrac{4}{11}\times\dfrac{3}{10}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2}{11} + \dfrac{4\times3}{11\times10}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2}{11} + \dfrac{12}{110}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2\times10}{11\times10} + \dfrac{12}{110}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{20}{110} + \dfrac{12}{110}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{20+12}{110}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{32}{110}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{2\times16}{2\times55}[/tex]
[tex]\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{\not{2}\times16}{\not{2}\times55}[/tex]
[tex]\boxed{\dfrac{2}{11} + \dfrac{4}{11}\times(\dfrac{5}{2} - \dfrac{11}{5})=\dfrac{16}{55}}[/tex]