Question

623. Выполните действие. 1)8/27*9/7:4/7;. 2)11/12:7/24:2 2/21;. 3)2 2/3:24/35:2 7/9; 4)13 1/2*1 1/2:2 1/4;. 5)15/16:5/8*1 1/9;. 6)13/14:1 4/21:13/5;. 7)4 9/28*5/23:7/19;. 8)2 16/19*2 1/9:3 3/8.​

Answer 1

Ответ:2/3; 2 3/4; 1 2/5; 8 1/13; 4,5; 1 7/9

Пошаговое объяснение:

8/27×9/7:4/7=8/21×7/4=8/12=2/3;

11/12:7/24:22/21=11/12×24/7×21/24=11/4=2 3/4;

8/3:24/35:25/9=8/3×35/24×9/25=7/5=1 2/5;

21:13/5=21×5/13=105/13=8 1/13;

121/28×5/23×19/7=4,5

54/19×19/9×8/27=16/9=1 7/9

Answer 2

Давайте рассмотрим каждое действие по порядку:

1. (8/27 * 9/7) / (4/7) = (72/189) / (4/7) = (72/189) * (7/4) = (72/27) * (1/4) = 8/3 * 1/4 = 8/12 = 2/3

2. (11/12) / (7/24) / (2 2/21) = (11/12) / (7/24) / (44/21) = (11/12) * (24/7) * (21/44) = (11/2) * (3/7) * (1/2) = 33/28

3. (2 2/3) / (24/35) / (2 7/9) = (8/3) / (24/35) / (25/9) = (8/3) * (35/24) * (9/25) = (14/1) * (3/1) * (9/25) = 378/25

4. (13 1/2 * 1 1/2) / 2 1/4 = (27/2 * 3/2) / (9/4) = (81/4) / (9/4) = 81/9 = 9

5. (15/16) / (5/8 * 1 1/9) = (15/16) / ((5/8) * (10/9)) = (15/16) / (25/36) = (15/16) * (36/25) = (9/10) * (36/25) = 324/250 = 162/125

6. (13/14) / (1 4/21) / (13/5) = (13/14) / (25/21) / (13/5) = (13/14) * (21/25) * (5/13) = (3/2) * (3/5) * (5/13) = 9/13

7. (4 9/28 * 5/23) / (7/19) = (133/28 * 5/23) / (7/19) = (665/644) / (7/19) = (665/644) * (19/7) = (95/92) * 19 = 95 * 19 / 92 = 1805/92 = 452.5/23 = 90.5/4.6 = 181/9.2

8. (2 16/19 * 2 1/9) / (3 3/8) = (39/19 * 19/9) / (27/8) = (39/9) / (27/8) = (13/3) / (27/8) = (13/3) * (8/27) = (13/9) * (8/3) = 104/27

Таким образом, результаты для каждого действия следующие:

1. 2/3
2. 33/28
3. 378/25
4. 9
5. 162/125
6. 9/13
7. 181/9.2
8. 104/27