Вычислите:1. (19 5/6 + 7 9/16) - ( 15 2/3 - 9 3/8)2. (28 1/6 - 16 11/15) - (18 3/20 -14...

Question

Вычислите:
1. (19 5/6 + 7 9/16) - ( 15 2/3 - 9 3/8)
2. (28 1/6 - 16 11/15) - (18 3/20 -14 2/3)

Answer 1

1)19 5/6 + 7 9/16 - 15 2/3 - 9 3/8 = 2 17/48
19 5/6 + 7 9/16 - 15 2/3 - 9 3/8 = 119/6 + 121/16 - 47/3 - 75/8 
НОК(6,16,3,8) = 48
 (119*8 + 121*3 - 47*16 - 75*6)/48 = (952 + 363 - 752 - 450)/48 = 113/48 = 2 17/48
2 17/48 = 2.3541666667

Comments

2)28 1/6 - 16 11/15 - 18 3/20 - 14 2/3 = - 21 23/60

28 1/6 - 16 11/15 - 18 3/20 - 14 2/3 = 169/6 - 251/15 - 363/20 - 44/3

НОК(6,15,20,3) = 60

(169*10 - 251*4 - 363*3 - 44*20)/60 = (1690 - 1004 - 1089 - 880)/60 = - 1283/60 = - 21 23/60

- 21 23/60 = -21.3833333333