Question

Вычислите : 3/4+5/7 9/14-3/4 11/12-2/3 7/25+4/10 11/18-5/12 13/18+7/15 19/24-25/36 5/6-3/4+5/24 5/8+11/28-9/14

Answer 1

1целая 13/28
-3/28
1/4
17/25
7/36
1 целая 17/90
7/72
7/24
3/8

Answer 2

1 целая 13/28

-3/28

1/4

17/25

7/36

1 целая 17/90

7/72

7/24

3/8

Answer 3

Давайте последовательно вычислим каждое выражение:

1. 3/4 + 5/7 = (37 + 54) / (4*7) = (21 + 20) / 28 = 41 / 28

2. 9/14 - 3/4 = (94 - 314) / (14*4) = (36 - 42) / 56 = -6 / 56 = -3 / 28

3. 11/12 - 2/3 = (113 - 212) / (12*3) = (33 - 24) / 36 = 9 / 36 = 1 / 4

4. 7/25 + 4/10 = (710 + 425) / (25*10) = (70 + 100) / 250 = 170 / 250 = 17 / 25

5. 11/18 - 5/12 = (1112 - 518) / (18*12) = (132 - 90) / 216 = 42 / 216 = 7 / 36

6. 13/18 + 7/15 = (1315 + 718) / (18*15) = (195 + 126) / 270 = 321 / 270 = 107 / 90

7. 19/24 - 25/36 = (1936 - 2524) / (24*36) = (684 - 600) / 864 = 84 / 864 = 7 / 72

8. 5/6 - 3/4 + 5/24 = (54 - 36 + 51) / (64) = (20 - 18 + 5) / 24 = 7 / 24

9. 5/8 + 11/28 - 9/14 = (57 + 112 - 94) / (87) = (35 + 22 - 36) / 56 = 21 / 56 = 3 / 8

Таким образом, результаты вычислений для каждого выражения:

1. 3/4 + 5/7 = 41/28
2. 9/14 - 3/4 = -3/28
3. 11/12 - 2/3 = 1/4
4. 7/25 + 4/10 = 17/25
5. 11/18 - 5/12 = 7/36
6. 13/18 + 7/15 = 107/90
7. 19/24 - 25/36 = 7/72
8. 5/6 - 3/4 + 5/24 = 7/24
9. 5/8 + 11/28 - 9/14 = 3/8