Réponse :
Explications étape par étape
Bonjour
A = 1/3 + 1/3
A = 2/3
B = 2/3 + 5/12
B = (2 x 4)/(3 x 4) + 5/12
B = 8/12 + 5/12
B = 13/12
C = 8 - 13/2
C = 16/2 - 13/2
C = 3/2
D = 3/2 + 5/12
D = (3 x 6)/(2 x 6) + 5/12
D = 18/12 + 5/12
D = 23/12
E = 9/20 - 1/4
E = 9/20 - (1 x 5)/(4 x 5)
E = 9/20 - 5/20
E = 4/20
E = 1/5
F = 13/6 + 7/12
F = (13 x 2)/(6 x 2) + 7/12
F = 26/12 + 7/12
F = 33/12
G = 23/6 - 2/3
G = 23/6 - (2 x 2)/(3 x 2)
G = 23/6 - 4/6
G = 19/6
H = 23/100 + 3/20
H = 23/100 + (3 x 5)/(20 x 5)
H = 23/100 + 15/100
H = 38/100
H = 19/50
I = 41/9 - 5/9
I = 36/9
I = 4
J = 11/8 - 33/24
J = (11 x 3)/(8 x 3) - 33/24
J = 33/24 - 33/24
J = 0
K = 4/3 - 13/21
K = (4 x 7)/(3 x 7) - 13/21
K = 28/21 - 13/21
K = 15/21
K = 5/7
L = 9/2 + 7/16
L = (9 x 8)/(2 x 8) + 7/16
L = 72/16 + 7/16
L = 79/16
M = 27/13 - 1/13
M = 26/13
M = 2
N = 3 + 46/3
N = 9/3 + 46/3
N = 55/3
O = 18/11 - 12/11
O = 6/11
Relier les points : voir pièce jointe
Exercice :
1/20 : natation
3/4 : vélo
? : course à pied
J’imagine qu’il faut déterminer la proportion du parcours pour la course à pied ?
1/20 + 3/4 = 1/20 + (3 x 5)/(4 x 5) = 15/20
Il reste pour la course :
1 - 15/20 = 20/20 - 15/20 = 5/20 = 1/4
