[tex]\it 0,5=\dfrac{1}{2}\ ;\ \ 0,1(6)=\dfrac{16-1}{90}=\dfrac{\ 15^{(15}}{90}=\dfrac{1}{90}\\ \\ \\ \{x,\ y,\ z\}\ d.\ p.\ \Big\{\dfrac{1}{2},\ \dfrac{1}{6},\ \dfrac{1}{3}\Big\} \Rightarrow \{x,\ y,\ z\}\ i.\ p.\ \{2,\ 6,\ 3\} \Rightarrow 2x=6y=3z\ \ \ \ (*)[/tex]
[tex]\it 2x+6y+3z=15 \stackrel{(*)}{\Longrightarrow}\ \begin{cases}\it 2x+2x+2x=15\Rightarrow 6x=15\Rightarrow x=\dfrac{\ 15^{(3}}{6}=\dfrac{5}{2}\\ \\ \it 6y+6y+6y=15 \Rightarrow 18y=15\Rightarrow y=\dfrac{\ 15^{(3}}{18}=\dfrac{5}{6}\\ \\ \it 3z\ +3z\ +3z\ =15\Rightarrow9z=15\Rightarrow z=\dfrac{\ 15^{(3}}{9}=\dfrac{5}{3}\end{cases}[/tex]
