Bonsoir,
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[tex]A = \frac{5}{7} + \frac{2}{5} * \frac{9}{5} \\A = \frac{5}{7} + \frac{2*9}{5*5}\\A = \frac{5}{7} + \frac{18}{25} \\A = \frac{5*25}{7*25} + \frac{18*7}{25*7}\\A = \frac{125}{175} + \frac{126}{175} \\A = \frac{251}{175} \\\\B = \frac{5}{7} (\frac{2*5}{3*5}-\frac{9*3}{5*3})\\B = \frac{5}{7} (\frac{10}{15}-\frac{27}{15})\\\\B = \frac{5}{7} * \frac{-17}{15} \\B = \frac{5*(-17)}{7*15}\\B = \frac{-85}{105}\\\\B = \frac{-5*17}{-5*(-21)}\\\\\B = \frac{17}{21}\\[/tex]
[tex]C = \frac{4*8}{3*8} - \frac{1*3}{8*3} / \frac{3}{5} \\C = \frac{32}{24} - \frac{3}{24} / \frac{3}{5} \\C = \frac{28}{24} / \frac{3}{5} \\C = \frac{28}{24} * \frac{5}{3}\\C = \frac{28*5}{24*3}\\C = \frac{125}{72}[/tex]
[tex]D = \frac{4}{3} - \frac{1}{8} * \frac{5}{3}\\D = \frac{4}{3} - \frac{1*5}{8*3} \\D = \frac{4}{3} - \frac{5}{24}\\D = \frac{4*8}{3*8} - \frac{5}{24}\\D = \frac{32}{24} - \frac{5}{24}\\D = \frac{27}{24}\\D = \frac{3*9}{3*8}\\D = \frac{9}{8}[/tex]
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En espérant avoir aidée :)
