Question

Помогите решить по действиям

Answer 1

[(28 : 1 3/4 + 7 1/3 : 22 + 1 2/3 · 9 3/4 + 14 : 1 1/2) · 3 1/7] / [10 1/2 - 9 3/4] =

= 175 41/63

1) 28 : 1 3/4 = 28 : 7/4 = 28 · 4/7 = 4 · 4 = 16

2) 7 1/3 : 22 = 22/3 · 1/22 = 1/3

3) 1 2/3 · 9 3/4 = 5/3 · 39/4 = (5·13)/(1·4) = 65/4 = 16 1/4

4) 14 : 1 1/2 = 14 : 3/2 = 14 · 2/3 = 28/3 = 9 1/3

5) 16 + 1/3 = 16 1/3

6) 16 1/3 + 16 1/4 = 16 4/12 + 16 3/12 = 32 7/12

7) 32 7/12 + 9 1/3 = 32 7/12 + 9 4/12 = 41 11/12

8) 41 11/12 · 3 1/7 = 503/12 · 22/7 = (503·11)/(6·7) = 5533/42

9) 10 1/2 - 9 3/4 = 10 2/4 - 9 3/4 = 9 6/4 - 9 3/4 = 3/4

10) 5533/42 : 3/4 = 5533/42 · 4/3 = (5533·2)/(21·3) = 11066/63 = 175 41/63

Ответ: 175 целых 41/63.