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Mathematikunterricht/ Sek/ Brüche/ Ü/ Addieren und Subtrahieren mit Amelie/ L

Hier sind die Lösungen zu den Übungsaufgaben zum Addieren und Subtrahieren von Brüchen.

Bei gleichnamigen Brüchen

1. ${\displaystyle {2 \over 4}+{5 \over 4}={7 \over 4}}$
2. ${\displaystyle {3 \over 7}-{1 \over 7}={2 \over 7}}$
3. ${\displaystyle {8 \over 26}+{26 \over 26}={34 \over 26}}$
4. ${\displaystyle {1 \over 2}+{3 \over 2}={4 \over 2}}$
5. ${\displaystyle {22 \over 6}-{16 \over 6}={6 \over 6}}$
6. ${\displaystyle {126 \over 3}-{83 \over 3}={43 \over 3}}$
7. ${\displaystyle {22 \over 9}-{7 \over 9}={15 \over 9}}$
8. ${\displaystyle {169 \over 426}+{513 \over 426}={682 \over 426}}$

Bei gemischten Brüchen

1. ${\displaystyle {2 \over 4}+{7 \over 8}={11 \over 8}}$
2. ${\displaystyle {3 \over 6}-{1 \over 3}={1 \over 6}}$
3. ${\displaystyle {7 \over 12}+{4 \over 3}={23 \over 12}}$
4. ${\displaystyle {7 \over 8}-{2 \over 3}={5 \over 24}}$
5. ${\displaystyle {12 \over 8}+{2 \over 8}={14 \over 8}}$
6. ${\displaystyle {3 \over 12}-{1 \over 6}={1 \over 12}}$
7. ${\displaystyle {22 \over 4}+{26 \over 16}={114 \over 16}}$
8. ${\displaystyle {29 \over 5}+{5 \over 20}={121 \over 20}}$

Knifflige Aufgaben

1. ${\displaystyle {2 \over 6}+{7 \over 21}={2 \over 3}}$
2. ${\displaystyle {3 \over 2}-{7 \over 5}+{20 \over 40}={3 \over 5}}$
3. ${\displaystyle {7 \over 64}+{7 \over 24}={77 \over 192}}$
4. ${\displaystyle {36 \over 122}-{7 \over 61}={11 \over 61}}$
5. ${\displaystyle 2{5 \over 6}-{8 \over 3}={1 \over 6}}$
6. ${\displaystyle {200 \over 5000}+{5000 \over 10000}={400 \over 10000}+{5000 \over 10000}={5400 \over 10000}}$