(4/5)=0,2х+(3/6,5)
(4/5)-(3/6,5)=0,2х
|3÷6,5=3÷(65/10)=(3×10)/65=(30/65)|
(4/5)-(30/65)=0,2х
0,2х=(4×13-30)/65
0,2х=(52-30)/65
0,2х=(22/65)
(2/10)х=(22/65)|÷(2/10)
(2/10)х÷(2/10)=(22/65)÷(2/10)
(2/10)х×(10/2)=(11×2)/(13×5)×(2×5)/2
х=(11×2×2×5)/(13×5×2)
х=(22/13)
х=1(9/13)
Проверка:
(4/5)=0,2×(22/13)+(3/6,5)
(4/5)=(2/10)×(22/13)+(30/65)
(4/5)=(44/130)+(30/65)
(4/5)=(44+30×2)/130
(4/5)=104/130=(4×26)/(5×26)
(4/5)=(4/5)- истина.