radix

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Usernameradix
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 #1
avatar+14538 
+3

$${\mathtt{8}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{7}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{8}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{9}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{7}}}{{\mathtt{8}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{5}}}{{\mathtt{8}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{5}}}{{\mathtt{9}}}} = {\mathtt{31.823\: \!412\: \!698\: \!412\: \!698\: \!4}}$$

 

$${\frac{{\mathtt{1}}}{{\mathtt{7}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{8}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{9}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{7}}}{{\mathtt{8}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{5}}}{{\mathtt{8}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{5}}}{{\mathtt{9}}}}$$          Hauptnenner = 504  

 

  =>   $${\frac{{\mathtt{919}}}{{\mathtt{504}}}} = {\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{415}}}{{\mathtt{504}}}}$$

 

$${\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{415}}}{{\mathtt{504}}}} = {\frac{{\mathtt{919}}}{{\mathtt{504}}}} = {\mathtt{1.823\: \!412\: \!698\: \!412\: \!698\: \!4}}$$

 

$${\mathtt{8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}} = {\mathtt{30}}$$              ; 

 

  $${\mathtt{30}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{415}}}{{\mathtt{504}}}} = {\mathtt{31.823\: \!412\: \!698\: \!412\: \!698\: \!4}}$$   

 

   Ergebnis:     $$31\frac{415}{504}$$

 

Gruß radix !

Jun 27, 2015
 #2
avatar+14538 
0
Jun 27, 2015