Răspuns :
0,(3)/0,0(5)=x/ 2 1/6
3/9/5/90=x/13/6
1/3/1/18=x/13/6
1/3×18=x/13/6
6=x/13/6
x=(6×13)/6
x=13
Răspuns:
x = 13
Explicație pas cu pas:
[tex]\frac{0,(3)}{0,0(5)} = \frac{x}{2 \frac{1}{6} } \\ \frac{\frac{3}{9} }{\frac{5}{90} } = \frac{x}{\frac{13}{6} }[/tex]
[tex]\frac{3}{9} * \frac{90}{5} = \frac{6x}{13}[/tex] (am folosit formula [tex]\frac{a}{b} = a*\frac{1}{b}[/tex]
[tex]\frac{30}{5} = \frac{6x}{13}[/tex]
[tex]6 = \frac{6x}{13}[/tex]
[tex]1 = \frac{x}{13}[/tex]
x = 13×1
x = 13