Bonsoir,
1)
A = 1 - 1/3 - 1/4 x 2/5
A = 1 - 1/3 - 2/20
A = 1 - 1/3 - 1/10
A = (1 x 30) / (1 x 30) - (1 x 10) / (3 x 10) - (1 x 3) / (10 x 3)
A = 30/30 - 10/30 - 3/30
A = 17/30
B = (1 - 1/3 - 1/4) x 2/5
B = [(1 x 12) / (1 x 12) - (1 x 4) / (3 x 4) - (1 x 3) / (4 x 3)] x 2/5
B = (12/12 - 4/12 - 3/12) x 2/5
B = 5/12 x 2/5
B = 10/60
B = (10 x 1) / (10 x 6)
B = 1/6
C = (1 - 1/3 - 1/4) : 2/5
C = (12/12 - 4/12 - 3/12) : 2/5
C = 5/12 : 2/5
C = 5/12 x 5/2
C = 25/24
D = 1 - (1/3 + 1/4) x 2/5
D = 1 - (4/12 + 3/12) x 2/5
D = 1 - 7/12 x 2/5
D = (1 x 60) / (1 x 60) - 14/60
D = 60/60 - 14/60
D = 46/60
D = (2 x 23) / (2 x 30)
D = 23/30
2)
1 - (1/3 + 1/4)
= 12/12 - (4/12 + 3/12)
= 12/12 - 7/12
= 5/12
Après que les deux 1ers se soient servis il reste 5/12 de chocolat
5/12 x 2/5 = 10/60 = (10 x 1) / (10 x 6) = 1/6
Le 3eme prend 1/6 du chocolat.
La B.
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Verified answer
Bonsoir,
1)
A = 1 - 1/3 - 1/4 x 2/5
A = 1 - 1/3 - 2/20
A = 1 - 1/3 - 1/10
A = (1 x 30) / (1 x 30) - (1 x 10) / (3 x 10) - (1 x 3) / (10 x 3)
A = 30/30 - 10/30 - 3/30
A = 17/30
B = (1 - 1/3 - 1/4) x 2/5
B = [(1 x 12) / (1 x 12) - (1 x 4) / (3 x 4) - (1 x 3) / (4 x 3)] x 2/5
B = (12/12 - 4/12 - 3/12) x 2/5
B = 5/12 x 2/5
B = 10/60
B = (10 x 1) / (10 x 6)
B = 1/6
C = (1 - 1/3 - 1/4) : 2/5
C = (12/12 - 4/12 - 3/12) : 2/5
C = 5/12 : 2/5
C = 5/12 x 5/2
C = 25/24
D = 1 - (1/3 + 1/4) x 2/5
D = 1 - (4/12 + 3/12) x 2/5
D = 1 - 7/12 x 2/5
D = (1 x 60) / (1 x 60) - 14/60
D = 60/60 - 14/60
D = 46/60
D = (2 x 23) / (2 x 30)
D = 23/30
2)
1 - (1/3 + 1/4)
= 12/12 - (4/12 + 3/12)
= 12/12 - 7/12
= 5/12
Après que les deux 1ers se soient servis il reste 5/12 de chocolat
5/12 x 2/5 = 10/60 = (10 x 1) / (10 x 6) = 1/6
Le 3eme prend 1/6 du chocolat.
La B.