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. | \( \frac{9}{10} \) | \( 10 \) | \( \frac{1}{20} \) | \( \frac{109}{10} \) | \( \frac{19}{20} \) | \( 9 \) | \( 18 \) | \( \frac{199}{20} \) | \( \frac{7}{5} \) |