SVP Ce devoir est pour demain ,il faut juste m'aidez et respectez les règles pour les exercices 1 et 2. Merci de mettre les résultats non simplifiées et les simplifiées , Merci beaucoup !
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1)a) 3/4 + 5/2 = 3/4 + 5 x 2 / 2 x 2 = 3/4 + 10/4 = 13/4
b) 7/6 - 1/3 = 7/6 - 1 x 2 / 3 x 2 = 7/6 - 2/6 = 5/6
c) 3 - 8/3 = 3 x 3 / 1 x 3 - 8/3 = 9/3 - 8/3 = 1/3
d) 8/11 x 3/5 = 24/55
e) 15/14 x 35/30 = 525/420 = 105 x 5 / 105 x 4 = 5/4
f) 5/6 x 12 = 60/6 = 6 x 10 / 6 x 1 = 10/1 = 10
2)
a) 12/10 x (35/6 + 55/6)
= 12/10 x 90/6
= 1080/60
= 60 x 18 / 60 x 1
= 18/1
= 18
b) 14/15 x 20/21 - 14/15 x 5/21
= 280/315 - 70/315
= 210/315
= 105 x 2 / 105 x 3
= 2/3
c) 6/55 x (5/12 + 7/3)
= 6/55 x (5/12 + 7 x 4 / 3 x 4)
= 6/55 x (5/12 + 28/12)
= 6/55 x 33/12
= 198/660
= 66 x 3 / 66 x 10
= 3/10
d) (5/3 - 13/2) x (10/3 + 11/12 - 1/4)
= (5 x 2 / 3 x 2 - 13 x 3 / 2 x 3) x (10 x 4 / 3 x 4 + 11/12 - 1 x 3 / 4 x 3)
= (10/6 - 39/6) x (40/12 + 11/12 - 3/12)
= - 29/6 x 48/12
= - 1392/72
= 24 x - 58 / 24 x 3
= - 58/3
e) 5/14 x 7/15 + 12 x 7/18 - 11/81 x 27/44
= 35/210 + 84/18 - 297/3564
= 35 x 1 / 35 x 6 + 3 x 28 / 3 x 6 -
= 1/6 + 28/6 - 297/3564
= 29/6 - 297/3564
= 29 x 3564 / 6 x 3564 - 297 x 6 / 3564 x 6
= 103356/21384 - 1782/21384
= 101574/21384
= 5346 x 19 / 5346 x 4
= 19/4