Question

Determinati x din proportia :
$\frac{0,(3)}{0,3(8)} = \frac{x-1}{1,1(6)}$

Answer 1

0,(3)/0,3(8)=(x-1)/1,1(6)
(x-1)*0,3(8)=0,(3)*1,1(6)
0,3(8)x-0,3(8)=0,38
0,3(8)x=0,38+0,3(8)
x=0,76:0,3(8)
x=2

Answer 2

0,(3)=3/9=1/3 ;
0,3(8)=(38-3)/90=35/90=7/18 ;
1,1(6)=(116-11)/90=105/90=21/18=7/6 ;
=>
1/3:7/18 = (x-1):7/6
1/3*18 : 7 = 6*(x-1) : 7  | *7

6x-6 =  6  | :6
 x-1 = 1
    x = 2