Lösungen: Erweitern von Brüchen I (Erweitert)

1. Erweitere die folgenden Brüche mit den vorgegebenen Zahlen:

a)  \( \frac{1}{5}^{\color{blue}{·2}} = \bbox[#e1ffc1,5px]{ \frac{1\color{blue}{·2}}{5\color{blue}{·2}} = \frac{2}{10} } \)

b)  \( \frac{2}{3}^{\color{blue}{·3}} = \bbox[#e1ffc1,5px]{ \frac{2\color{blue}{·3}}{3\color{blue}{·3}} = \frac{6}{9} } \)

c)  \( \frac{2}{7}^{\color{blue}{·4}} = \bbox[#e1ffc1,5px]{ \frac{2\color{blue}{·4}}{7\color{blue}{·4}} = \frac{8}{28} } \)

d)  \( \frac{7}{9}^{\color{blue}{·5}} = \bbox[#e1ffc1,5px]{ \frac{7\color{blue}{·5}}{9\color{blue}{·5}} = \frac{35}{45} } \)

e)  \( \frac{15}{8}^{\color{blue}{·7}} = \bbox[#e1ffc1,5px]{ \frac{15\color{blue}{·7}}{8\color{blue}{·7}} = \frac{105}{56} } \)

f)  \( \frac{1}{7}^{\color{blue}{·7}} = \bbox[#e1ffc1,5px]{ \frac{1\color{blue}{·7}}{7\color{blue}{·7}} = \frac{7}{49} } \)

g)  \( \frac{11}{15}^{\color{blue}{·10}} = \bbox[#e1ffc1,5px]{ \frac{11\color{blue}{·10}}{15\color{blue}{·10}} = \frac{110}{150} } \)

h)  \( \frac{11}{15}^{\color{blue}{·12}} = \bbox[#e1ffc1,5px]{ \frac{11\color{blue}{·12}}{15\color{blue}{·12}} = \frac{132}{180} } \)

i)  \( \frac{10}{9}^{\color{blue}{·9}} = \bbox[#e1ffc1,5px]{ \frac{10\color{blue}{·9}}{9\color{blue}{·9}} = \frac{90}{81} } \)

j)  \( \frac{4}{25}^{\color{blue}{·15}} = \bbox[#e1ffc1,5px]{ \frac{4\color{blue}{·15}}{25\color{blue}{·15}} = \frac{60}{375} } \)

k)  \( \frac{7}{21}^{\color{blue}{·12}} = \bbox[#e1ffc1,5px]{ \frac{7\color{blue}{·12}}{21\color{blue}{·12}} = \frac{84}{252} } \)

l)  \( \frac{9}{11}^{\color{blue}{·19}} = \bbox[#e1ffc1,5px]{ \frac{9\color{blue}{·19}}{11\color{blue}{·19}} = \frac{171}{209} } \)

2. Erweitere die Brüche gemäß folgender Tabelle:

Erweitere mit 2 mit 3 mit 4
\( \frac{8}{24} \) \( \frac{16}{48} \) \( \frac{24}{72} \) \( \frac{32}{96} \)
\( \frac{12}{48} \) \( \frac{24}{96} \) \( \frac{36}{144} \) \( \frac{48}{192} \)
\( \frac{48}{60} \) \( \frac{96}{120} \) \( \frac{144}{180} \) \( \frac{192}{240} \)
\( \frac{36}{80} \) \( \frac{72}{160} \) \( \frac{108}{240} \) \( \frac{144}{320} \)
  Hinweis senden