Lösungen: Kürzen von Brüchen II (Erweitert)

1. Bestimme die Zahl, die zum gekürzten Bruch führt:

a) $$\frac{8}{40}^{\bbox[#e1ffc1,5px]{:4}} = \frac{8\color{blue}{:4}}{40\color{blue}{:4}} = \frac{2}{10}$$

b) $$\frac{3}{9}^{\bbox[#e1ffc1,5px]{:3}} = \frac{3\color{blue}{:3}}{9\color{blue}{:3}} = \frac{1}{3}$$

c) $$\frac{6}{16}^{\bbox[#e1ffc1,5px]{:2}} = \frac{6\color{blue}{:2}}{16\color{blue}{:2}} = \frac{3}{8}$$

d) $$\frac{8}{48}^{\bbox[#e1ffc1,5px]{:8}} = \frac{8\color{blue}{:8}}{48\color{blue}{:8}} = \frac{1}{6}$$

e) $$\frac{12}{84}^{\bbox[#e1ffc1,5px]{:12}} = \frac{12\color{blue}{:12}}{84\color{blue}{:12}} = \frac{1}{7}$$

f) $$\frac{51}{12}^{\bbox[#e1ffc1,5px]{:3}} = \frac{51\color{blue}{:3}}{12\color{blue}{:3}} = \frac{17}{4}$$

g) $$\frac{909}{54}^{\bbox[#e1ffc1,5px]{:9}} = \frac{909\color{blue}{:9}}{54\color{blue}{:9}} = \frac{101}{6}$$

h) $$\frac{155}{25}^{\bbox[#e1ffc1,5px]{:5}} = \frac{155\color{blue}{:5}}{25\color{blue}{:5}} = \frac{31}{5}$$

i) $$\frac{27}{81}^{\bbox[#e1ffc1,5px]{:9}} = \frac{27\color{blue}{:9}}{81\color{blue}{:9}} = \frac{3}{9}$$

j) $$\frac{30}{195}^{\bbox[#e1ffc1,5px]{:15}} = \frac{30\color{blue}{:15}}{195\color{blue}{:15}} = \frac{2}{13}$$

k) $$\frac{175}{205}^{\bbox[#e1ffc1,5px]{:5}} = \frac{175\color{blue}{:5}}{205\color{blue}{:5}} = \frac{35}{41}$$

l) $$\frac{210}{1020}^{\bbox[#e1ffc1,5px]{:10}} = \frac{210\color{blue}{:10}}{1020\color{blue}{:10}} = \frac{21}{102}$$