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Sagot :

☺ Salut ☺

Prouvons que

[tex]\dfrac{2 + \dfrac{3}{4}}{\dfrac{3}{4} - 5} = - \dfrac{11}{17}[/tex] :

Calculons [tex]\dfrac{2 + \dfrac{3}{4}}{\dfrac{3}{4} - 5}[/tex] :

[tex]\;\;\dfrac{2 + \dfrac{3}{4}}{\dfrac{3}{4} - 5} = - \dfrac{11}{17}[/tex]

• [tex]\;\;\dfrac{ \dfrac{8 + 3}{4}}{\dfrac{3 - 20}{4}} = - \dfrac{11}{17}[/tex]

• [tex]\;\;\dfrac{ \dfrac{11}{4}}{- \dfrac{17}{4}} = - \dfrac{11}{17}[/tex]

• [tex]\;\;\dfrac{ \dfrac{11}{\cancel{4}}}{- \dfrac{17}{\cancel{4}}} = - \dfrac{11}{17}[/tex]

✅ [tex]\boxed{\boxed{- \dfrac{11}{17} = - \dfrac{11}{17}}}[/tex]✅

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