Bonjour j'ai besoin d'aide pour faire mes mathématiques l'exercices :

Calculer les expressions suivantes en détaillant les calculs et en donnant le résultat sous la forme d'une fraction simplifiée au maximum ( * : symbole d'une multiplication) , ( / : symbole d'une fractions)

A = ( 3 + 5/7)7. B = 2/3 - 3/45/9

C = 7/5 ➗ 3/2 + 8/3 D = 25/4928/533/10

Merci.

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KOUROUMAKALILOU KOUROUMAKALILOU · Answer 1 · 2022-02-14T18:36:32+01:00

Réponse:

A = 26 ; B = 1/4 ; C = 18/5 et D = 66/7

Explications étape par étape:

A = ( 3 + 5/7 ) × 7 = ( 21/7 + 5/7 ) × 7 =>

A = ( 3 + 5/7 ) × 7 = ( 21/7 + 5/7 ) × 7 => A = ( 26/7 ) × 7 = 26 × 7 / 7 = 26 <=>

A = 26

B = 2/3 - 3/4 × 5/9 = 2/3 - 3×5/4×3×3 = 2/3 - 5/12 =>

B = 2/3 - 3/4 × 5/9 = 2/3 - 3×5/4×3×3 = 2/3 - 5/12 =>B = 2×4/4×3 - 5/12 = 8/12 - 5/12 = 3/12 = 3×1/3×4 <=>

B = 1 / 4

C = 7/5 ÷ 3/2 + 8/3 = 7/5×2/3 + 8/3 = 7×2/5×3 + 8/3 =>

C = 7/5 ÷ 3/2 + 8/3 = 7/5×2/3 + 8/3 = 7×2/5×3 + 8/3 =>C = 14/15 + 8/3 = 14/15 + 8×5/3×5 = 14/15 + 40/15 =>

C = 7/5 ÷ 3/2 + 8/3 = 7/5×2/3 + 8/3 = 7×2/5×3 + 8/3 =>C = 14/15 + 8/3 = 14/15 + 8×5/3×5 = 14/15 + 40/15 =>C = 54/15 = 18×3/5×3 <=>

C = 18 / 5

D = 25/49×28/5×33/10 = 5×5×2×2×7×3×11/7×7×5×5×2

D = 25/49×28/5×33/10 = 5×5×2×2×7×3×11/7×7×5×5×2D = 2×3×11/7 = 66/7 <=>

D = 66 / 7