AB: Rechentabelle für Brüche (Erweitert)
1.
In der nachstehenden Tabelle sind Werte für a, b und c eingetragen. Daneben stehen die Berechnungsvorschriften. 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. | \( \frac{1}{2} \) | \( \frac{1}{4} \) | \( \frac{1}{3} \) | \( \frac{3}{4} \) | \( \frac{5}{6} \) | \( \frac{1}{8} \) | \( \frac{3}{2} \) | \( -\frac{1}{12} \) | \( \frac{7}{12} \) |
| 2. | \( \frac{2}{5} \) | \( \frac{13}{5} \) | \( \frac{17}{5} \) | \( 3 \) | \( \frac{19}{5} \) | \( \frac{26}{25} \) | \( \frac{2}{17} \) | \( -\frac{4}{5} \) | \( \frac{231}{25} \) |
| 3. | \( \frac{1}{12} \) | \( \frac{1}{15} \) | \( \frac{2}{10} \) | \( \frac{3}{20} \) | \( \frac{17}{60} \) | \( \frac{1}{180} \) | \( \frac{5}{12} \) | \( -\frac{2}{15} \) | \( \frac{29}{300} \) |
| 4. | \( \frac{21}{2} \) | \( \frac{3}{4} \) | \( \frac{5}{4} \) | \( \frac{45}{4} \) | \( \frac{47}{4} \) | \( \frac{63}{8} \) | \( \frac{42}{5} \) | \( -\frac{1}{2} \) | \( \frac{183}{16} \) |
| 5. | \( \frac{11}{2} \) | \( \frac{2}{15} \) | \( \frac{1}{100} \) | \( \frac{169}{30} \) | \( \frac{551}{100} \) | \( \frac{11}{15} \) | \( 550 \) | \( \frac{37}{300} \) | \( \frac{2063}{375} \) |
| 6. | \( \frac{33}{2} \) | \( \frac{2}{3} \) | \( \frac{21}{6} \) | \( \frac{103}{6} \) | \( 20 \) | \( 11 \) | \( \frac{33}{7} \) | \( -\frac{17}{6} \) | \( \frac{113}{6} \) |
| 7. | \( \frac{5}{12} \) | \( \frac{1}{15} \) | \( \frac{1}{50} \) | \( \frac{29}{60} \) | \( \frac{131}{300} \) | \( \frac{1}{36} \) | \( \frac{125}{6} \) | \( \frac{7}{150} \) | \( \frac{209}{500} \) |
| 8. | \( \frac{2}{16} \) | \( \frac{2}{12} \) | \( \frac{2}{18} \) | \( \frac{7}{24} \) | \( \frac{17}{72} \) | \( \frac{1}{48} \) | \( \frac{9}{8} \) | \( \frac{1}{18} \) | \( \frac{31}{216} \) |
| 9. | \( \frac{1}{2} \) | \( \frac{1}{11} \) | \( \frac{1}{11} \) | \( \frac{13}{22} \) | \( \frac{13}{22} \) | \( \frac{1}{22} \) | \( \frac{11}{2} \) | \( 0 \) | \( \frac{123}{242} \) |
| 10. | \( \frac{11}{3} \) | \( \frac{11}{5} \) | \( \frac{11}{7} \) | \( \frac{88}{15} \) | \( \frac{110}{21} \) | \( \frac{121}{15} \) | \( \frac{7}{3} \) | \( \frac{22}{35} \) | \( \frac{748}{105} \) |
| 11. | \( \frac{1}{30} \) | \( \frac{1}{60} \) | \( \frac{1}{90} \) | \( \frac{1}{20} \) | \( \frac{2}{45} \) | \( \frac{1}{1800} \) | \( 3 \) | \( \frac{1}{180} \) | \( \frac{181}{5400} \) |
| 12. | \( \frac{1}{5} \) | \( \frac{1}{10} \) | \( 2 \) | \( \frac{3}{10} \) | \( \frac{11}{5} \) | \( \frac{1}{50} \) | \( \frac{1}{10} \) | \( -\frac{19}{10} \) | \( \frac{2}{5} \) |
| 13. | \( \frac{13}{9} \) | \( \frac{9}{13} \) | \( 9 \) | \( \frac{250}{117} \) | \( \frac{94}{9} \) | \( 1 \) | \( \frac{13}{81} \) | \( -\frac{108}{13} \) | \( \frac{898}{117} \) |
| 14. | \( \frac{1}{7} \) | \( 17 \) | \( \frac{1}{7} \) | \( \frac{120}{7} \) | \( \frac{2}{7} \) | \( \frac{17}{7} \) | \( 1 \) | \( \frac{118}{7} \) | \( \frac{18}{7} \) |
| 15. | \( \frac{99}{10} \) | \( 100 \) | \( \frac{1}{200} \) | \( \frac{1099}{10} \) | \( \frac{1981}{200} \) | \( 990 \) | \( 1980 \) | \( \frac{19999}{200} \) | \( \frac{52}{5} \) |