En precisant les differentes etape des calculs calculer A et donner le resultat sous la forme dune fraction irréductibles

Bonjour Inesbaroudi2001

[tex]A=\dfrac{24}{35}-\dfrac{\dfrac{3}{5}-\dfrac{9}{7}}{2-\dfrac{11}{4}}\\\\\\A=\dfrac{24}{35}-\dfrac{\dfrac{3}{5}\times\dfrac{7}{7}-\dfrac{9}{7}\times\dfrac{5}{5}}{\dfrac{8}{4}-\dfrac{11}{4}}\\\\\\A=\dfrac{24}{35}-\dfrac{\dfrac{21}{35}-\dfrac{45}{35}}{-\dfrac{3}{4}}[/tex]

[tex]A=\dfrac{24}{35}-\dfrac{-\dfrac{24}{35}}{-\dfrac{3}{4}}\\\\\\A=\dfrac{24}{35}-\dfrac{\dfrac{24}{35}}{\dfrac{3}{4}}\\\\\\A=\dfrac{24}{35}-\dfrac{24}{35}\times\dfrac{4}{3}}[/tex]

[tex]A=\dfrac{24}{35}-\dfrac{24\times4}{35\times3}\\\\A=\dfrac{24}{35}-\dfrac{8\times4}{35}\\\\A=\dfrac{24}{35}-\dfrac{32}{35}\\\\\boxed{A=-\dfrac{8}{35}} [/tex]