%
\ANG
{	Ordne folgende rationale Zahlen jeweils als Br"uche aufsteigend nach der Gr"o"se!
    \begin{enumerate}
	\item	$0{,}81\overline{6};~~\frac{13}{15};~~0{,}85;~~\frac{5}{6}$
	\item	$0{,}8\overline{142857};~~\frac{11}{14};~~0{,}8;~~\frac{29}{35}$
    \end{enumerate}
}
%  
\LSG
{
    \begin{enumerate}
	\item	$\frac{5}{6}=\textcolor{blue}{\frac{50}{60}}$;~~
			$\frac{13}{15}=\textcolor{blue}{\frac{52}{60}}$;~~
			$0{,}85=\frac{85}{100}=\frac{17}{20}=\textcolor{blue}{\frac{51}{60}}$;\\
			$0{,}81\overline{6}=\frac{735}{900}$
			$\underset{^{:\,3}}{\overset{_{:\,3}}{=}}\frac{245}{300}$
			$\underset{^{:\,5}}{\overset{_{:\,5}}{=}}\textcolor{blue}{\frac{49}{60}}$\\
			$\Longrightarrow~~\frac{49}{60}<\frac{50}{60}<\frac{51}{60}<\frac{52}{60}$
	\item	$\frac{11}{14}=\textcolor{blue}{\frac{55}{70}}$;~~
			$\frac{29}{35}=\textcolor{blue}{\frac{58}{70}}$;~~
			$0{,}8=\frac{8}{10}=\textcolor{blue}{\frac{56}{70}}$;\\
			$0{,}8\overline{142857}=\frac{8\,142\,849}{9\,999\,990}$
			$\underset{^{:\,9}}{\overset{_{:\,9}}{=}}\frac{904\,761}{1\,111\,110}$
			$\underset{^{:\,3}}{\overset{_{:\,3}}{=}}\frac{301\,587}{370\,370}$
			$\underset{^{:\,11}}{\overset{_{:\,11}}{=}}\frac{27\,417}{33\,670}$
			$\underset{^{:\,13}}{\overset{_{:\,13}}{=}}\frac{2109}{2590}$
			$\underset{^{:\,37}}{\overset{_{:\,37}}{=}}\textcolor{blue}{\frac{57}{70}}$\\
			$\Longrightarrow~~\frac{55}{70}<\frac{56}{70}<\frac{57}{70}<\frac{58}{70}$
   \end{enumerate}
}
