Für diese Aufgabe benötigst Du folgendes Grundwissen: Schriftliche Division

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Es handelt sich hierbei um einen Periodischen Dezimalbruch.

$\frac{3}{7}=3:7\backslash frac\{3\}\{7\}=3:7$

Führe die schriftliche Division durch.

$\begin{array}{c}\phantom{-}3:7=\mathrm{0,4285}\dots \\ \phantom{-}30\\ \underset{‾}{-28}\\ \phantom{-6}20\\ \phantom{6}\underset{‾}{-14}\\ \phantom{-36}60\\ \phantom{36}\underset{‾}{-56}\\ \phantom{-000}40\\ \phantom{000}\underset{‾}{-35}\\ \phantom{-0000}50\\ \phantom{-00000}\mathrm{⋮}\end{array}\backslash def\backslash arraystretch\{1.25\}\; \backslash begin\{array\}\{l\}\backslash hphantom\{-\}3\; :7\; =\; 0\{,\}4285\backslash ldots\backslash \backslash \backslash hphantom\{-\}30\backslash \backslash \backslash underline\{-28\}\backslash \backslash \backslash hphantom\{-6\}20\backslash \backslash \backslash hphantom\{6\}\backslash underline\{-14\}\backslash \backslash \backslash hphantom\{-36\}60\backslash \backslash \backslash hphantom\{36\}\backslash underline\{-56\}\backslash \backslash \backslash hphantom\{-000\}40\backslash \backslash \backslash hphantom\{000\}\backslash underline\{-35\}\backslash \backslash \backslash hphantom\{-0000\}50\backslash \backslash \backslash hphantom\{-00000\}\backslash vdots\backslash end\{array\}$