Question

încadrați următoarele fractii intre doua numere naturale consecutive 13 supra 6, 17 supra 5, 38 supra 10, 65 supra 21 ,165 supra 13, 723 supra 100

Answer 1

13/6 = (12+1)/6 = 12/6+1/6 = 2 + 1/6
2 < 13/6 < 3

17/5 = (15+2)/5 = 15/5 + 2/5 = 3 + 2/5
3 < 17/5 < 4

38/10 = (30+8)/10 = 30/10 + 8/10 = 3 + 4/5
3 < 38/10 < 4

65/21 = (63+2)/21 = 63/21 + 2/21 = 3 + 2/21
3 < 65/21 < 4

165/13 = (156 + 9)/13 = 156/13 + 9/13 = 12 + 9/13
12 < 165/13 < 13

723/100 = (700+23)/100 = 700/100 + 23/100 = 7 + 23/100
7 < 723/100 < 8