Question

0,(3)/0,1 (6) = x/2,5

Answer 1

0,(3)=3/9=1/3
0,1(6)=(16-1)/90=15/90=3/18=1/6
1/3:1/6=x/1:25/10
1/3·6/1=x/1·10/25
2=10x/25
2·25=10x
10x=50
x=50/10
x=5

Answer 2

$0,(3)= \frac{1}{3} \\ 0,1(6)= \frac{16-1}{90}= \frac{15}{90}= \frac{1}{6}$

$\frac{0,(3)}{0,1(6)}= \frac{x}{2,5}<=> \frac{ \frac{1}{3} }{ \frac{1}{6} } = \frac{x}{ \frac{5}{2} }<=> \frac{1}{3}*6= \frac{2x}{5}<=>2= \frac{2x}{5}=>x= \frac{5*2}{2}=5$.

Solutie: x=5.