SigMathS
Réponse 56:
$X=\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{1}{2}}{3}}{4}}{5}}{6}}{7}}{\dfrac{6}{\dfrac{5}{\dfrac{4}{\dfrac{3}{\dfrac{2}{1}}}}}}$
$=\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{1}{6}}{4}}{5}}{6}}{7}}{\dfrac{6}{\dfrac{5}{\dfrac{4}{\dfrac{3}{2}}}}}$
$=\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{1}{24}}{5}}{6}}{7}}{\dfrac{6}{\dfrac{5}{\dfrac{8}{3}}}}$
$=\dfrac{\dfrac{\dfrac{1}{720}}{7}}{\dfrac{6}{\dfrac{15}{8}}}$
$=\dfrac{\dfrac{1}{5040}}{\dfrac{48}{15}}$
$=\dfrac{1}{16128}$