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Réponse :

Explications étape par étape

Bonsoir

A = 21/7 + 2/3 - 4/21

A = (21 x 3)/(3 x 7) + (2 x 7)/(3 x 7) - 4/21

A = 63/21 + 14/21 - 4/21

A = 77/21 - 4/21

[tex]\bf{A = 73/21}[/tex]

B = 84/17 x 34/27 x 5/2

B = 84/27 x 34/17 x 5/2

B = (3 x 28)/(3 x 9) x (17 x 2)/17 x 5/2

B = 28/9 x 2 x 5/2

B = 28/9 x 5 x 2/2

[tex]\bf{B = 140/9}[/tex]

C = 7/2 - 1/3 x 5/2

C = 7/2 - 5/6

C = 21/6 - 5/6

C = 16/6

C = (2 x 8)/(2 x 3)

[tex]\bf{C = 8/3}[/tex]

D = 4/3 x 9/2 + 25/9 x 3/10

D = 4/2 x 9/3 + 25/10 x 3/9

D = 2 x 3 + 5/2 x 1/3

D = 6 + 5/6

D = 36/6 + 5/6

[tex]\bf{D = 41/6}[/tex]

E = 7/12 x (13/9 + 18/7)

E = 7/12 x (91/63 + 162/63)

E = 7/12 x 253/63

E = 7/63 x 253/12

E = 1/9 x 253/12

[tex]\bf{E = 253/108}[/tex]

F = 12 - 7/3 x 2/5 + 8/5

F = 12 - 14/15 + 8/5

F = 180/15 - 14/15 + 24/15

F = 204/15 - 14/15

F = 190/15

F = (38 x 5)/(3 x 5)

[tex]\bf{F = 38/3}[/tex]