Réponse :

Explications étape par étape

Bonsoir

Calculer et donner chaque résultat sous forme d'une fraction irréductible.

S = -15/28 : -25/42

S = -15/28 x (-42/25)

S = 15/28 x 42/25

S = 15/25 x 42/28

S = (3 x 5)/(5 x 5) x (3 x 14)/(2 x 14)

S = 3/5 x 3/2

S = 9/10

T = 63/44 : (-72/55)

T = 63/44 x -55/72

T = (-55/44) x 63/72

T = (-5 x 11)/(4 x 11) x (9 x 7)/(9 x 8)

T = -5/4 x 7/8

T = -35/32

U = 12/(45/16)

U = 12 x 16/45

U = (3 x 4) x 4 x 4 / (3 x 15)

U = 64/15

V = -48/(32/21)

V = -48 x 21/32

V = -48/32 x 21

V = (-3 x 16)/(2 x 16) x 21

V = (-3/2) x 21

V = -63/2

W = -5/12 + 7/12 : 5/18

W = -5/12 + 7/12 x 18/5

W = -5/12 + 7/5 x 18/12

W = -5/12 + 7/5 x (3 x 6)/(2 x 6)

W = -5/12 + 7/5 x 3/2

W = -5/12 + 21/10

W = (-5 x 5)/(12 x 5) + (21 x 6)/(10 x 6)

W = -25/60 + 126/60

W = 101/60

X = (-1/24 - (-2/24))/(-3/8 - 1)

X = (-1/24 + 2/24) / (-3/8 - 8/8)

X = 1/24 / (-11/8)

X = 1/24 x (-8/11)

X = -8/24 x 1/11

X = -1/3 x 1/11

X = -1/33