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aratati ca fractia 7n+10 supra 5n+7 esteireductibilaoricare ar fi n


Răspuns :

Fie [tex]d=gcd(7n+10,5n+7)[/tex].
Cum [tex] \left \{ {{d\mid7n+10} \atop {d\mid5n+7}} \right \Rightarrow d\mid5(7n+10)-7(5n+7)=1[/tex]