Вычислите 5/6 - 25/49 : (3 - 1 13/14) + 1/2.

Для решения этих примеров нужно соблюдать порядок действий: сначала действия в скобках, затем умножение и деление, в конце — сложение и вычитание. 24. 5/6 - 25/49 : (3 - 1 13/14) + 1/2 1) 3 - 1 13/14 = 3 - 27/14 = 42/14 - 27/14 = 15/14 2) 25/49 : 15/14 = 25/49 * 14/15 = (5*2) / (7*3) = 10/21 3) 5/6 - 10/21 = 35/42 - 20/42 = 15/42 = 5/14 4) 5/14 + 1/2 = 5/14 + 7/14 = 12/14 = 6/7 Ответ: 6/7 25. 7/30 + 9/8 : (4 - 3 7/22) - 1 5/6 1) 4 - 3 7/22 = 1 - 7/22 = 15/22 2) 9/8 : 15/22 = 9/8 * 22/15 = 3/4 * 11/5 = 33/20 = 1 13/20 3) 7/30 + 33/20 = 14/60 + 99/60 = 113/60 = 1 53/60 4) 1 53/60 - 1 5/6 = 113/60 - 110/60 = 3/60 = 1/20 Ответ: 1/20 26. 25/12 : 1 7/8 - 3/5 * (4 - 2 11/18) 1) 4 - 2 11/18 = 1 7/18 = 25/18 2) 3/5 * 25/18 = 1/1 * 5/6 = 5/6 3) 25/12 : 1 7/8 = 25/12 : 15/8 = 25/12 * 8/15 = 5/3 * 2/3 = 10/9 = 1 1/9 4) 1 1/9 - 5/6 = 10/9 - 5/6 = 20/18 - 15/18 = 5/18 Ответ: 5/18 27. 7/13 + 3 3/13 * (2/21 - 3/28) - 1/5 1) 2/21 - 3/28 = 8/84 - 9/84 = -1/84 2) 3 3/13 * (-1/84) = 42/13 * (-1/84) = 1/13 * (-1/2) = -1/26 3) 7/13 - 1/26 = 14/26 - 1/26 = 13/26 = 1/2 4) 1/2 - 1/5 = 5/10 - 2/10 = 3/10 Ответ: 3/10 28. -1 + (7/12 + 5/6) : 2 5/6 - 2/3 1) 7/12 + 5/6 = 7/12 + 10/12 = 17/12 2) 17/12 : 2 5/6 = 17/12 : 17/6 = 17/12 * 6/17 = 1/2 3) -1 + 1/2 = -1/2 4) -1/2 - 2/3 = -3/6 - 4/6 = -7/6 = -1 1/6 Ответ: -1 1/6 29. 6 : 18/23 + 2 2/3 * (3/14 - 4 13/28) 1) 3/14 - 4 13/28 = 6/28 - 125/28 = -119/28 = -17/4 2) 2 2/3 * (-17/4) = 8/3 * (-17/4) = 2/3 * (-17) = -34/3 = -11 1/3 3) 6 : 18/23 = 6 * 23/18 = 23/3 = 7 2/3 4) 7 2/3 - 11 1/3 = 23/3 - 34/3 = -11/3 = -3 2/3 Ответ: -3 2/3 30. 9/22 - 4/9 : (3 - 1 8/15) + 8/11 1) 3 - 1 8/15 = 1 7/15 = 22/15 2) 4/9 : 22/15 = 4/9 * 15/22 = 2/3 * 5/11 = 10/33 3) 9/22 - 10/33 = 27/66 - 20/66 = 7/66 4) 7/66 + 8/11 = 7/66 + 48/66 = 55/66 = 5/6 Ответ: 5/6 31. 2 1/2 + 9/16 * 1 5/27 - 3 3/7 : 27/28 1) 9/16 * 1 5/27 = 9/16 * 32/27 = 1/1 * 2/3 = 2/3 2) 3 3/7 : 27/28 = 24/7 * 28/27 = 8/1 * 4/9 = 32/9 = 3 5/9 3) 2 1/2 + 2/3 = 5/2 + 2/3 = 15/6 + 4/6 = 19/6 = 3 1/6 4) 3 1/6 - 3 5/9 = 19/6 - 32/9 = 57/18 - 64/18 = -7/18 Ответ: -7/18 32. 3 9/10 - (2 - 1 11/35) : 9/49 + 1/2 1) 2 - 1 11/35 = 24/35 2) 24/35 : 9/49 = 24/35 * 49/9 = 8/5 * 7/3 = 56/15 = 3 11/15 3) 3 9/10 - 3 11/15 = 39/10 - 56/15 = 117/30 - 112/30 = 5/30 = 1/6 4) 1/6 + 1/2 = 1/6 + 3/6 = 4/6 = 2/3 Ответ: 2/3 33. -2 + (11/24 + 5/6) : 1 15/16 - 2/5 1) 11/24 + 5/6 = 11/24 + 20/24 = 31/24 2) 31/24 : 1 15/16 = 31/24 : 31/16 = 31/24 * 16/31 = 2/3 3) -2 + 2/3 = -6/3 + 2/3 = -4/3 = -1 1/3 4) -1 1/3 - 2/5 = -4/3 - 2/5 = -20/15 - 6/15 = -26/15 = -1 11/15 Ответ: -1 11/15 34. 3/4 + 3 3/5 * (5/18 - 7/24) - 1/5 1) 5/18 - 7/24 = 20/72 - 21/72 = -1/72 2) 3 3/5 * (-1/72) = 18/5 * (-1/72) = 1/5 * (-1/4) = -1/20 3) 3/4 - 1/20 = 15/20 - 1/20 = 14/20 = 7/10 4) 7/10 - 1/5 = 7/10 - 2/10 = 5/10 = 1/2 Ответ: 1/2