1) (х - 8/9) + 3/8 = 19/36
х - 8/9 + 3/8 = 19/36
х= 19/36 + 8/9 - 3/8
х= 19*2/36*2 + 8*8/9*8 - 3*9/8*9
х= 38/72 + 64/72 - 27/72
х= (38+64-27)/72
х=75/72
х=25*3/24*3
х=25/24, или
х = 1 целая 1/24
Проверка:
(25/24 - 8/9) + 3/8 = 25/24 - 8/9+3/8 = 25*3/24*3 - 8*8/9*8 + 3*9/9*9 =
= 75/72 - 64/72 + 27/72 = (75-64+27)/72 = 38/72 = 19*2/36*2 = 19/36
Ответ: 25/25 (или 1 целая 1/24).
2) 3, 1/6 - (х+11/12) = 1/4
19/6 - х + 11/12 = 1/4
19/6 + 11/12 - 1/4 = х
х = 19*2/6*2 + 11/12 - 1*3/4*3
х= 38/12 +11/12 -3/12
х= (38+11-3)/12
х=46/12
х=23*2/6*2
х=23/6, или
х= 3 целых 5/6
Проверка:
3, 1/6 - (23/6 + 11/12) = 19/6 - 23/6 +11/12 = 19*2/6*2 - 23*2/6*2 + 11/12 =
=38/12 - 46/12 + 11/12 = (38-46+11)/12 = 3/12 = 3/3*4 = 1/4
Ответ: 23/6 (или 3 целых 5/6).