Bonjour pourriez vous m’aider svp Calcule et écris le résultat sous la forme d'une fraction la plus simple possible.

Réponse :

Bonjour

Explications étape par étape

J = (1/8 - 7/12) ÷ (7/6 + 7/16)

J = (3/24 - 14/24) ÷ (56/48 + 21/48)

J = -11/24 ÷ 77/48

J = -11/24 × 48/77

J = -11 × 3 × 2 × 8/8 × 3 × 11 × 7

J = -2/7

K = 1/8 - 7/12 ÷ 7/6 + 7/12

K = 1/8 - 7/12 × 6/7 + 7/2

K = 1/8 - 1/2 + 7/12

K = 3/24 - 12/24 + 14/24

K = 5/24

L = (1/8 +7/12) × (6/5 ÷ 4/15)

L = (3/24 + 14/24) × (6/5 × 15/4)

L = 17/24 × (3×2×5×3/5×2×2)

L = 17/24 × 9/2

L = 17 × 3 × 3/8 × 3 × 2

L = 51/16

M = ( 1/8 + 7/12) / (5/6 - 4/15)

M = (3/24 + 14/24)/(25/30 - 8/30)

M = 17/24 ÷ 17/30

M = 17/24 × 30/17

M = 30/24

M = 6 × 5/6 × 4

M = 5/4

N = (5/3 - 7/9)/(1/4 - 1/2)

N = (15/9 - 7/9)/(1/4 - 2/4)

N = 8/9 ÷ (-1/4)

N = 8/9 × (-4)

N = -32/9

P = (1/5)/(6 - 4/15)

P = (1/5)/(90/15 - 4/15)

P = 1/5 ÷ 86/15

P = 1/5 × 15/86

P = 1 × 5 × 3/5 × 86

P = 3/86