Réponse :
- 5/3 = ...../6 = 20/.... = ..../-36 = - 45/....
⇔ - 5/3 = ...a../6 = 20/.b... = .c.../-36 = - 45/.d...
on obtient
- 5/3 = - 10/6 = 20/-12 = 60/-36 = - 45/27
Explications étape par étape
- 5/3 = a/6 ⇔ 3 x a = - 5 x 6 ⇔ 3 x a = - 30 ⇔ a = - 30/3 = - 10
- 10/6 = 20/b ⇔ - 10 x b = 6 x 20 ⇔ - 10 x b = 120 ⇔ b = 120/-10 = - 12
20/-12 = c/- 36 ⇔ - 12 x c = - 20 x 36 ⇔ - 12 x c = - 720 ⇔ c = 720/12 = 60
60/- 36 = - 45/d ⇔ 60 x d = - 36 x (- 45) = 1620 ⇔ d = 1620/60 = 27
