Выполните действия: 1)1/3*(2 2/15*6 1/4-5 1/3*1 1/7)+4 - вопрос №113221561451311745923045125145127127001059 от ArtemFediroolosb 14.03.2023 22:59

Question

Математика: Выполните действия: 1)1/3*(2 2/15*6 1/4-5 1/3*1 1/7)+4 5/9 2)30 4/5-1 2/5*(1 4/5*(12 7/12-9 19/36)-17/35*1 11/34)

ArtemFediroolosb · Answer

1)1/3*(2 2/15*6 1/4-5 1/3*1 1/7)+4 5/9 = 11 50/63
1) 2 2/15 * 6 1/4 = 32/15 * 25/4 = 8/3 * 5/1 = 40/3
2) 5 1/3 * 1 1/7 = 16/3 * 8/7 = 128/21
3) 40/3 - 128/21 = 280/21 - 128/21 = 152/21
4) 1/3 * 152/21 = 152/63
5) 152/21 + 4 5/9 = 152/21 + 41/9 = 456/63 + 287/63 = 743/63 = 11 50/63

2)30 4/5-1 2/5*(1 4/5*(12 7/12-9 19/36)-17/35*1 11/34) = 24
1) 12 7/12 - 9 19/36 = 12 21/36 - 9 19/36 = 3 2/36 = 3 1/18
2) 1 4/5 * 3 1/18 = 9/5 * 55/18 = 1/1 * 11/2 = 11/2
3) 17/35 * 1 11/34 = 17/35 * 45/34 = 1/7 * 9/2 = 9/14
4) 11/2 - 9/14 = 77/14 - 9/14 = 68/14 = 34/7
5) 1 2/5 * 34/7 = 7/5 * 34/7 = 1/5 * 34/1 = 34/5
6) 30 4/5 - 34/5 = 154/5 - 34/5 = 120/5 = 24