Réponse :
Explications étape par étape
Bonjour
A = 1 /(1 + 1/(1 + 1/3))
A = 1 / (1 + 1 / (3/3 + 1/3))
A = 1 / (1 + 1 / (4/3))
A = 1 / (1 + 1 x 3/4)
A = 1 / (1 + 3/4)
A = 1 / (4/4 + 3/4)
A = 1 / (7/4)
A = 1 x 4/7
A = 4/7
B = 2 / (2 - 1 / (2 - 1 / (2 - 1/2)))
B = 2 / (2 - 1 / (2 - 1 / (4/2 - 1/2)))
B = 2 / (2 - 1 / (2 - 1 / (3/2)))
B = 2 / (2 - 1 / (2 - 2/3))
B = 2 / (2 - 1 / (6/3 - 2/3))
B = 2 / (2 - 1 / (4/3))
B = 2 / (2 - 3/4)
B = 2 / (8/4 - 3/4)
B = 2 / (5/4)
B = 2 x 4/5
B = 8/5
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Réponse :
Explications étape par étape
Bonjour
A = 1 /(1 + 1/(1 + 1/3))
A = 1 / (1 + 1 / (3/3 + 1/3))
A = 1 / (1 + 1 / (4/3))
A = 1 / (1 + 1 x 3/4)
A = 1 / (1 + 3/4)
A = 1 / (4/4 + 3/4)
A = 1 / (7/4)
A = 1 x 4/7
A = 4/7
B = 2 / (2 - 1 / (2 - 1 / (2 - 1/2)))
B = 2 / (2 - 1 / (2 - 1 / (4/2 - 1/2)))
B = 2 / (2 - 1 / (2 - 1 / (3/2)))
B = 2 / (2 - 1 / (2 - 2/3))
B = 2 / (2 - 1 / (6/3 - 2/3))
B = 2 / (2 - 1 / (4/3))
B = 2 / (2 - 3/4)
B = 2 / (8/4 - 3/4)
B = 2 / (5/4)
B = 2 x 4/5
B = 8/5