# Somme de fractions

• Bonjour,

Montrer que pour tout $n\in {\mathbb N}^*$, il existe des entiers naturels distincts $x_1,x_2,\cdots,x_n$ tels que :

$\dfrac{1}{x_1}+\dfrac{1}{x_2}+\cdots+\dfrac{1}{x_n}=\dfrac{1}{2018}.$

MA

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