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\ANG
{	Rechne die periodischen Dezimalzahlen~$2{,}\overline{06},\;$ $3{,}0\overline{42},\;$ $4{,}06\overline{78}\;$ und $5{,}246\overline{987}\;$
	in vollst"andig gek"urzte unechte Br"uche um!
}
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\LSG
{\large
	$2{,}\overline{06}=2\,\frac{6}{99}=\frac{204}{99}\underset{^{:\,3}}{\overset{_{:\,3}}{=}}\textcolor{blue}{\frac{68}{33}}$\\\\
	$3\textcolor{blue}{{,}\underset{\rightarrow}{\textcolor{black}{0}}}\overline{42}=30\,\frac{42}{99}\cdot\frac{1}{1\textcolor{blue}{0}}=\frac{3012}{990}\underset{^{:\,6}}{\overset{_{:\,6}}{=}}\textcolor{blue}{\frac{502}{165}}$\\\\
	$4\textcolor{blue}{{,}\underrightarrow{\textcolor{black}{06}}}\overline{78}=406\,\frac{78}{99}\cdot\frac{1}{1\textcolor{blue}{00}}=\frac{40\,272}{9900}\underset{^{:\,12}}{\overset{_{:\,12}}{=}}\textcolor{blue}{\frac{3356}{825}}$\\\\
	$5\textcolor{blue}{{,}\underrightarrow{\textcolor{black}{246}}}\overline{987}=5246\,\frac{987}{999}\cdot\frac{1}{1\textcolor{blue}{000}}=\frac{5\,241\,741}{999\,000}\underset{^{:\,3}}{\overset{_{:\,3}}{=}}\textcolor{blue}{\frac{1\,747\,247}{333\,000}}$
}
