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Réponse :
[tex]K = \frac{2}{3} *\frac{7}{5} -\frac{4}{15} \\\\K = \frac{14}{15} -\frac{4}{15}\\\\K = \frac{10}{15} \\\\K = \frac{5*2}{5*3} \\\\K = \frac{2}{3}[/tex]
[tex]L = \frac{3}{4} /\frac{4}{5} +\frac{7}{2} \\\\L = \frac{3}{4} *\frac{5}{4} +\frac{7}{2}\\\\ L = \frac{15}{16} +\frac{7}{2}\\\\L = \frac{15}{16} +\frac{7*8}{2*8}\\\\L = \frac{15}{16} +\frac{56}{16}\\\\L = \frac{71}{16}[/tex]
[tex]M = \frac{1}{2} +\frac{5}{2} +\frac{7}{10} \\\\M = \frac{6}{2} +\frac{7}{10} \\\\M = \frac{6*5}{2*5} +\frac{7}{10}\\\\M = \frac{30}{10} +\frac{7}{10}\\\\M = \frac{37}{10}[/tex]
[tex]N = \frac{4}{7} +\frac{15}{7} /\frac{5}{2} \\\\N = \frac{4}{7} +\frac{15*2}{7*5}\\\\N = \frac{4}{7} +\frac{5*3*2}{7*5}\\\\N = \frac{4}{7} +\frac{3*2}{7} \\\\N = \frac{4}{7} +\frac{6}{7} \\\\N = \frac{10}{7}[/tex]
[tex]O = 1 - \frac{5}{2} *\frac{4}{15} \\\\O = 1 - \frac{5*2*2}{2*5*3} \\\\O = 1 -\frac{2}{3} \\\\O = \frac{1*3}{1*3} -\frac{2}{3}\\\\O = \frac{3}{3} - \frac{2}{3}\\\\O = \frac{1}{3}[/tex]
[tex]P = \frac{2}{7} +\frac{5}{14} * (\frac{2}{3} +\frac{1}{3} )\\\\P = \frac{2}{7} +\frac{5}{14} * 1\\\\P = \frac{2}{7} +\frac{5}{14}\\\\P = \frac{2*2}{7*2} +\frac{5}{14}\\\\P = \frac{4}{14} +\frac{5}{14}\\\\P = \frac{9}{14}[/tex]
