Ce serait éventuellement pour toutes les questions merci!!

Bonjour,

5.1 :
E = (1/2 - 3/4) x 16/9
E = (2/4 - 3/4) x 16/9
E = -1/4 x 16/9
E = (-1 x 4 x 4)/(4 x 9)
E = (-1 x 4)/9
E = -4/9

F = 1/2 - 3/4 x 16/9
F = 1/2 - (3 x 4 x 4)/(4 x 3 x 3)
F = 1/2 - 4/3
F = 3/6 - 8/6
F = -5/6

G = 1/5 - 3/10 x 1/6 + 1/2
G = 1/5 - (3 x 1)/(10 x 3 x 2) + 1/2
G = 1/5 - 1/20 + 1/2
G = 4/20 - 1/20 + 10/20
G = 13/20

H = (1/5 - 3/10) x (1/6 + 1/2)
H = (2/10 - 3/10) x (2/12 + 6/12)
H = -1/10 x 8/12
H = -1/10 x 4/3
H = -4/30
H = -2/15

5.2 :
J = (1/8 - 7/12) ÷ (7/6 + 7/16)
J = (3/24 - 14/24) ÷ (56/32 + 14/32)
J = -11/24 ÷ 70/32
J = -11/24 x 32/70
J = (-11 x 8 x 4)/(8 x 3 x 70)
J = -44/210
J = -22/105

K = 1/8 - 7/12 + 7/6 + 7/12
K = 3/24 - 14/24 + 28/24 + 14/24
K = 3/24 + 28/24
K = 31/24

L = (1/8 + 7/12) x (6/5 + 4/15)
L = (3/24 + 14/24) x (18/15 + 4/15)
L = 17/24 x 22/24
L = 17/24 x 11/12
L = 187/288

5.3 :
a) 3/4 x 180 = 135 eleves
b) (180 - 135) x 80/100 = 45 x 80/100 = 36 eleves

5.4 :
1/3 - 1/4 = 4/12 - 3/12 = 1/12
5/12 - 1/3 = 5/12 - 4/12 = 1/12
On obtient le meme resultat. Ils sont donc regulierement espacés sur la droite graduee