AB: Rechentabelle für Brüche

1.

In der nachstehenden Tabelle sind Werte für a, b und c eingetragen. Daneben stehen die gesuchten Berechnungen. Berechne entsprechend der Vorgaben und trage die Ergebnisse ein:

Nr. a b c a + b a + c a · b a : c b - c a + b · c
1. \( \frac{1}{2} \) \( \frac{1}{2} \) \( \frac{1}{4} \) \( 1 \) \( \frac{3}{4} \) \( \frac{1}{4} \) \( 2 \) \( \frac{1}{4} \) \( \frac{5}{8} \)
2. \( \frac{2}{5} \) \( \frac{3}{5} \) \( \frac{7}{5} \) \( 1 \) \( \frac{9}{5} \) \( \frac{6}{25} \) \( \frac{2}{7} \) \( -\frac{4}{5} \) \( \frac{31}{25} \)
3. \( \frac{1}{10} \) \( \frac{1}{10} \) \( \frac{2}{10} \) \( \frac{1}{5} \) \( \frac{3}{10} \) \( \frac{1}{100} \) \( \frac{1}{2} \) \( -\frac{1}{10} \) \( \frac{3}{25} \)
4. \( \frac{1}{2} \) \( \frac{3}{4} \) \( \frac{1}{4} \) \( \frac{5}{4} \) \( \frac{3}{4} \) \( \frac{3}{8} \) \( 2 \) \( \frac{1}{2} \) \( \frac{11}{16} \)
5. \( \frac{1}{2} \) \( \frac{2}{5} \) \( \frac{1}{10} \) \( \frac{9}{10} \) \( \frac{3}{5} \) \( \frac{1}{5} \) \( 5 \) \( \frac{3}{10} \) \( \frac{27}{50} \)
6. \( \frac{3}{2} \) \( \frac{1}{3} \) \( \frac{1}{6} \) \( \frac{11}{6} \) \( \frac{5}{3} \) \( \frac{1}{2} \) \( 9 \) \( \frac{1}{6} \) \( \frac{14}{9} \)
7. \( \frac{5}{2} \) \( \frac{1}{5} \) \( \frac{1}{10} \) \( \frac{27}{10} \) \( \frac{13}{5} \) \( \frac{1}{2} \) \( 25 \) \( \frac{1}{10} \) \( \frac{63}{25} \)
8. \( \frac{1}{6} \) \( \frac{1}{12} \) \( \frac{1}{18} \) \( \frac{1}{4} \) \( \frac{2}{9} \) \( \frac{1}{72} \) \( 3 \) \( \frac{1}{36} \) \( \frac{37}{216} \)
9. \( \frac{1}{20} \) \( \frac{1}{5} \) \( \frac{1}{10} \) \( \frac{1}{4} \) \( \frac{3}{20} \) \( \frac{1}{100} \) \( \frac{1}{2} \) \( \frac{1}{10} \) \( \frac{7}{100} \)
10. \( \frac{1}{20} \) \( \frac{2}{30} \) \( \frac{3}{40} \) \( \frac{7}{60} \) \( \frac{1}{8} \) \( \frac{1}{300} \) \( \frac{2}{3} \) \( -\frac{1}{120} \) \( \frac{11}{200} \)
11. \( \frac{1}{30} \) \( \frac{1}{60} \) \( \frac{1}{3} \) \( \frac{1}{20} \) \( \frac{11}{30} \) \( \frac{1}{1800} \) \( \frac{1}{10} \) \( -\frac{19}{60} \) \( \frac{7}{180} \)
12. \( \frac{1}{3} \) \( \frac{1}{6} \) \( 2 \) \( \frac{1}{2} \) \( \frac{7}{3} \) \( \frac{1}{18} \) \( \frac{1}{6} \) \( -\frac{11}{6} \) \( \frac{2}{3} \)
13. \( \frac{3}{10} \) \( \frac{3}{15} \) \( 3 \) \( \frac{1}{2} \) \( \frac{33}{10} \) \( \frac{3}{50} \) \( \frac{1}{10} \) \( -\frac{14}{5} \) \( \frac{9}{10} \)
14. \( \frac{1}{2} \) \( 7 \) \( \frac{1}{7} \) \( \frac{15}{2} \) \( \frac{9}{14} \) \( \frac{7}{2} \) \( \frac{7}{2} \) \( \frac{48}{7} \) \( \frac{3}{2} \)
15. \( \frac{9}{10} \) \( 10 \) \( \frac{1}{20} \) \( \frac{109}{10} \) \( \frac{19}{20} \) \( 9 \) \( 18 \) \( \frac{199}{20} \) \( \frac{7}{5} \)

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