Réponses

2014-03-17T19:01:33+01:00
Exercice 2

17/16 > 7/8  (14/16)
25/18 < 8/3  (48/18)
3/7 < 7/3  (9/21 et 79/21)
24/7 > 8/4   (96/28 et 56/28)
8 = 64/8
12/13 < 15/16  (192/208 et 195/208)

Exercice 3
5/4 = 5 x 12 / 4 x 12 = 60/48
15/24 = 15 x 2 / 24 x 2 = 30/48
24/16 = 24 x 3 / 16 x 3 = 72/48
5/8 = 5 x 6 / 8 x 6 = 30/48
3/6 = 3 x  8 / 6 x 8 = 24/48
Donc :
24/48 < 30/48 ≤ 30/48 < 60/48 < 72/48
et
3/6 ≤ 5/8 ≤ 15/24 ≤ 5/4 ≤ 24/16

31/50 = 31/50
17/10 = 17 x 5 / 10 x 5 = 85/50
12/25 = 12 x 2 / 25 x 2 = 24/50
2/5 = 2 x 10 / 5 x 10 = 20/50
Donc :
20/50 < 24/50 < 31/50 < 85/50
Et :
2/5 < 12/25 < 31/50 < 17/10