Question

Решите уравнения:
1) 2 2/11 x - 5/16 = 1 3/4
2) 4 2/9 x + 3 5/14 = 6 11/21
3) 11/18 - 14/27 x = 5/12
4)1/3 x + 1/4 x + 1/5 x = 1 19/75
5)4 1/2 : x + 1 3/4 = 3 19/28
6) 3 2/3 : (x - 2 4/15) = 3 5/13

Answer 1

Первое :
2 2/11x=1 3/4+5/16
2 2/11x=1 12/16+5/16
2 2/11x=1 17/16
24/11x=33/16
x=33/16*11/24
x=121/128

Второе :
4 2/9 х+3 5/14=6 11/21
4 2/9 х=6 11/21 - 3 5/14 
4 2/9 х=3 7/42
4 2/9 х=3 1/6
4 8/36 х=3 6/36
х=(4 8/36)/(3 6/36)
х=(114/36)/(152/36)
х=(114/36)*(36/152)
х=114/152
х=3/4

Третее :
11/18-14/27*х=5/12
14/27*х=11/18 - 5/12
14/27*х=(22-15)/36
14/27*х=7/36
Х=7/36 : 14/27
Х=7/36 * 27/14
Х=1/4 * 3/2
Х=3/8

Четвёртое :
 1/3x+1/4x+1/5x=1 19/75
х*( 1/3+1/4+1/5)=1 19/75
х*47/60=1 19/75
х=1 19/75 : 47/60
х=94/75*60/47
х=8/5
х= 1 3/5

Пятое :
4  1/2 : х + 1 3/4 = 3 19/28
4  1/2 : х = 3  19/28 - 1  3/4 
4  1/2 : х = 1  13/14
х= 4  1/2 : 1 13/14
х= 2 1/3

Шестое :
Х - 2 4/15 = 3 2/3 : 3 5/13
Х - 2 4/15 = 11/3 : 44/13
Х - 2 4/15 = (11×13)/(3×44)
Х - 2 4/15 = 13/12
Х - 2 4/15 = 1целая 1/12
Х = 1 2/12 + 2 4/15
Х = 1 5/60 + 2 16/60
Х = 3 21/60 
Х = 3 7/20
Ответ. 3 целых 7/20.

Все!)