[tex]Bonjour ; \\\\ K = \dfrac{11}{5} - \dfrac{3}{5} \times \dfrac{3}{2} = \dfrac{11\times 2}{5\times 2} - \dfrac{3\times3}{5\times 2} = \dfrac{22}{10} - \dfrac{9}{10} = \dfrac{22-9}{10} = \dfrac{13}{10} .
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[tex]L= \dfrac{2}{3} \times( \dfrac{1}{6} + \dfrac{5}{3} ) = \dfrac{2}{3} \times( \dfrac{1}{6} + \dfrac{5\times 2}{3\times 2} ) = \dfrac{2}{3} \times( \dfrac{1}{6} + \dfrac{10}{6} ) \\\\ = \dfrac{2}{3} \times \dfrac{1+10}{6} = \dfrac{2}{3} \times \dfrac{11}{6} = \dfrac{2\times11}{3\times6} = \dfrac{2\times11}{3\times2\times 3} = \dfrac{11}{3\times 3} = \dfrac{11}{9} .[/tex]
[tex]M=( \dfrac{3}{2} - \dfrac{1}{4} )\times( \dfrac{3}{2} + \dfrac{1}{4} ) = (\dfrac{3}{2})^2 - (\dfrac{1}{4})^2 \textit{ : identit\'e remarquable , } \\\\ = \dfrac{9}{4} - \dfrac{1}{16} = \dfrac{9\times 4}{4\times 4} - \dfrac{1}{16} = \dfrac{36}{16} - \dfrac{1}{16} = \dfrac{36-1}{16} = \dfrac{35}{16} .[/tex]
