# AB: Lektion Brüche (Teil 1)

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)

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

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