Question

Cum se rezolva 0,(4)x+0,(12)=0,(45). 1,4×x-1,2=0,3(6)

Answer 1

0,(4) x = 0,(45) - 0 ,(12)
0,(4)x = 0, (33)
x = 0,(33) : 0, (4) 
x= 33/99 : 4/9
x= 33/99 * 9/4 
x= 33 / 4 = 8,25

Answer 2

0,(4)=4/9
0,(12)=12/99
0,(45)=45/99
0,3(6) =(36-3)/90=33/90

4x/9+12/99=45/99
44x+12=45
44x=45-12
44x=33
x=3/4

14x/10-12/10=33/90
126x-108=33
126x=141
x=141/126
x=47/42
x=1,1(190476)