(0,5: 1,25+7/5: 1 4/7-3/11)*3 / (1,5+1/4): 18 1/3 - вопрос №05125751473113151418134131493 от Лазоревка 30.04.2023 12:03

Question

Алгебра: (0,5: 1,25+7/5: 1 4/7-3/11)*3 / (1,5+1/4): 18 1/3

Лазоревка · Answer

(0,5 : 1,25 + 7/5 : 1 4/7 - 3/11) * 3 / (1,5 + 1/4) : 18 1/3 = 32

Числитель: (0,5 : 1,25 + 7/5 : 1 4/7 - 3/11) * 3 = 3 3/55
1) 0,5 : 1,25 = 0,4
2) 7/5 : 1 4/7 = 7/5 : 11/7 = 7/5 * 7/11 = 49/55
3) 0,4 + 49/55 = 4/10 + 49/55 = 44/110 + 98/110 = 142/110 = 71/55 = 1 16/55
4) 1 16/55 - 3/11 = 1 16/55 - 15/55 = 1 1/55
5) 1 1/55 * 3 = 56/55 * 3 = 168/55 = 3 3/55

Знаменатель: (1,5 + 1/4) : 18 1/3 = 21/220
1) 1,5 + 1/4 = 1 5/10 + 1/4 = 1 10/20 + 5/20 = 1 15/20 = 1 3/4
2) 1 3/4 : 18 1/3 = 7/4 : 55/3 = 7/4 * 3/55 = 21/220

Числитель/Знаменатель: 3 3/55 : 21/220 = 168/55 * 220/21 = 8 * 4 = 32