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Sagot :

Bonjour

a. 7/18 + 2/6 + 5/9

= 7/18 + (2 x 3) / (6 x 3) + (5 x 2) / (9 x 2)

= 7/18 + 6/18 + 10/18

= 23/18

b. 9 - 15/2 - 3/2

= (9 x 2) / (1 x 2) - 15/2 - 3/2

= 18/2 - 18/2

= 0

c. 1 - 5/8 + 3/8

= (1 x 8) / (1 x 8) - 2/8

= 8/8 - 2/8

= 6/8

= (2 x 3) / (2 x 4)

= 3/4

d. 8/5 - (1/10 + 2/10)

= (8 x 2) / (5 x 2) - [(1x 2) / (10 x 2) + 2/10]

= 16/10 - (2/10 + 2/10)

= 16/10 - 4/10

= 12/10

= (2 x 6) / (2 x 5)

= 6/5

e. (1/6 + 1/18) - (1/3 - 1/9)

= [(1 x 3) / (6 x 3) + 1/18] - [(1 x 6) / (3 x 6) - (1 x 2) / (9 x 2)]

= (3/18 + 1/18) - (6/18 - 2/18)

= 4/18 - 4/18

= 0.

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