Bonjour pouvais vous m'aider pour le calcul : (2/3+1/5)×3/5= Merci d'avance.

Bonjour,

[tex]\left(\dfrac{2}{3}+\dfrac{1}{5}\right)\times\dfrac{3}{5}\\\\\\ = \left(\dfrac{2\times5}{3\times 5}+\dfrac{1\times 3}{5\times 3}\right)\times\dfrac{3}{5}\\\\\\ = \left(\dfrac{10}{15}+\dfrac{3}{15}\right)\times\dfrac{3}{5}\\\\\\ = \dfrac{13}{15}\times\dfrac{3}{5}\\\\\\ = \dfrac{13\times 3}{15\times 5}\\\\\\ = \dfrac{39}{75}\\\\\\ = \dfrac{39\div 3}{75\div 3}\\\\\\ \boxed{= \dfrac{13}{25}}[/tex]