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

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 = 1 целая 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!)