Завдання 1301 - 1401 » 1390

Знайдіть значення виразу: 1) 613/22 + 55/11 : (–4) – 5/132 : (–1/6) + (–5/6)2 : 17/18 = 613/22 – 60/11 ∙ 1/4 + 5/132 ∙ 6 + 25/36 ∙ 18/25 = 613/22 – 15/11 + 5/22 + 1/2 = 613/22 – 30/22 + 5/22 + 1/2 = 120/22 + 1/2 = 131/22 = 521/22; 2) (–410/11 ∙ 21/5) ∙ (217/25 : (–119/48)) : (–6 : 25/8) : (–7 + 54/29) : (4/15 + 9/75) = 54/11 ∙ 11/5 ∙ 67/25 ∙ 48/67 : (–6 ∙ 8/21) : (–125/29) : (20/75 + 9/75) = 54/5 ∙ 48/25 ∙ 21/48 ∙ 29/54 : 29/75 = 54/5 ∙ 48/25 ∙ 21/48 ∙ 29/54 ∙ 75/29 = 63/5 = 123/5; 3) (40 : (–22/15) – 255/7 : (–11/35)) : (–217/9 : 42/3 + 1) ∙ (–32/3) = (40 ∙ (–15/32) + 180/7 ∙ 35/36) : (–196/9 ∙ 3/14 + 1) ∙ (–11/3) = (–75/4 + 25) : (–14/3 + 1) ∙ (–11/3) = 25/4 ∙ 3/11 ∙ 11/3 = 25/4 = 61/4; 4) (11/(-9 + 2 1/3) – 1/6 ∙ 12,5 + 113/30) : (–0,23) – 0,005 ∙ 1050 = (11/(-20/3)- 1/6 ∙ 25/2 + 43/30) : (–23/100) – 0,005 ∙ 1050 = (–33/20 – 25/12 + 43/30) : (–23/100) – 5,25 = 138/60 ∙ 100/23 – 5,25 = 10 – 5,25 = 4,75.