AB: Lektion Brüche (Teil 1)

Wiki: Brüche - Formelübersicht
1.

Hast Du das Erweitern verstanden? Dann erweitere jeden der nachstehenden Brüche auf den Nenner 12:

a)

\( \frac{1}{2} = \) \( \frac{1}{2}^{\textcolor{blue}{·6}} = \) \( \frac{1\textcolor{blue}{·6}}{2\textcolor{blue}{·6}} = \frac{6}{12} \)

b)

\( \frac{3}{4} = \) \( \frac{3}{4}^{\textcolor{blue}{·3}} = \) \( \frac{3\textcolor{blue}{·3}}{4\textcolor{blue}{·3}} = \frac{9}{12} \)

c)

\( \frac{7}{4} = \) \( \frac{7}{4}^{\textcolor{blue}{·3}} = \) \( \frac{7\textcolor{blue}{·3}}{4\textcolor{blue}{·3}} = \frac{21}{12} \)

d)

\( \frac{10}{3} = \) \( \frac{10}{3}^{\textcolor{blue}{·4}} = \) \( \frac{10\textcolor{blue}{·4}}{3\textcolor{blue}{·4}} = \frac{40}{12} \)

e)

\( \frac{10}{6} = \) \( \frac{10}{6}^{\textcolor{blue}{·2}} = \) \( \frac{10\textcolor{blue}{·2}}{6\textcolor{blue}{·2}} = \frac{20}{12} \)

f)

\( \frac{100}{6} = \) \( \frac{100}{6}^{\textcolor{blue}{·2}} = \) \( \frac{100\textcolor{blue}{·2}}{6\textcolor{blue}{·2}} = \frac{200}{12} \)

g)

\( 8 = \) \( \frac{8}{1}^{\textcolor{blue}{·12}} = \) \( \frac{8\textcolor{blue}{·12}}{1\textcolor{blue}{·12}} = \frac{96}{12} \)

h)

\( \frac{10}{2} = \) \( \frac{10}{2}^{\textcolor{blue}{·6}} = \) \( \frac{10\textcolor{blue}{·6}}{2\textcolor{blue}{·6}} = \frac{60}{12} \)

2.

Du weißt, wie man kürzt? Dann wende dein Wissen an und kürze diese Brüche so weit es geht:

a)

\( \frac{4}{2} = \) \( \frac{4}{2}^{\textcolor{blue}{:2}} = \frac{4\textcolor{blue}{:2}}{2\textcolor{blue}{:2}} = \frac{2}{1} = 2 \)

b)

\( \frac{28}{4} = \) \( \frac{28}{4}^{\textcolor{blue}{:4}} = \frac{28\textcolor{blue}{:4}}{4\textcolor{blue}{:4}} = \frac{7}{1} = 7 \)

c)

\( \frac{6}{90} = \) \( \frac{6}{90}^{\textcolor{blue}{:6}} = \frac{6\textcolor{blue}{:6}}{90\textcolor{blue}{:6}} = \frac{1}{15} \)

d)

\( \frac{90}{16} = \) \( \frac{90}{16}^{\textcolor{blue}{:2}} = \frac{90\textcolor{blue}{:2}}{16\textcolor{blue}{:2}} = \frac{45}{8} \)

e)

\( \frac{92}{16} = \) \( \frac{92}{16}^{\textcolor{blue}{:4}} = \frac{92\textcolor{blue}{:4}}{16\textcolor{blue}{:4}} = \frac{23}{4} \)

f)

\( \frac{58}{8} = \) \( \frac{58}{8}^{\textcolor{blue}{:2}} = \frac{58\textcolor{blue}{:2}}{8\textcolor{blue}{:2}} = \frac{29}{4} \)

g)

\( \frac{12}{36} = \) \( \frac{12}{36}^{\textcolor{blue}{:12}} = \frac{12\textcolor{blue}{:12}}{36\textcolor{blue}{:12}} = \frac{1}{3} \)

h)

\( \frac{5}{55} = \) \( \frac{5}{55}^{\textcolor{blue}{:5}} = \frac{5\textcolor{blue}{:5}}{55\textcolor{blue}{:5}} = \frac{1}{11} \)

Lösungen

Name:  
Datum: