Question

Решить уравнение 2/3/ (Х*4/9 - 4/9)+1/20=4/5

Answer 1

2\3:(x4\9-4\9)+1\20=4\5
2\3:(4\9x-4\9)=4\5-1\20
2\3:(4\9x-4\9)=16\20-1\20
2\3:(4\9x-4\9)=3\4
4\9x-4\9=2\3:3\4=2\3*4\3=8\9
4\9x=8\9+4\9
4\9x=12\9
x=12\9:4\9=12\9*9\4=108\36=3
x=3

Answer 2

2/3:4/9х-4/9+1/20=4/5
(4/9х-4/9+1/20)4/5=2/3
((4/9)х-4/9+1/20)2/5=1/3
(8/45)х-8/45+1/50=4/5
(8/45)х=8/45-1/50+4/5
(8/45)х=(400-45+450)/2250
(8/45)х=905/2250
х=(905/2250)*45/8
x=2,2625