Breuken haakjesregel (reeks 1)

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Bereken

1. \(-\left(\frac{11}{-12}\right)-\left(\frac{7}{8}\right)\)
2. \(-\left(\frac{8}{11}\right)-\left(\frac{10}{-3}\right)\)
3. \(-\left(\frac{-7}{-3}\right)+\left(\frac{4}{-5}\right)\)
4. \(+\left(\frac{-11}{13}\right)+\left(\frac{-11}{-4}\right)\)
5. \(-\left(\frac{5}{6}\right)+\left(\frac{8}{-9}\right)\)
6. \(+\left(\frac{-2}{5}\right)-\left(\frac{13}{11}\right)\)
7. \(-\left(\frac{9}{2}\right)+\left(\frac{4}{13}\right)\)
8. \(+\left(\frac{2}{-3}\right)-\left(\frac{7}{5}\right)\)
9. \(-\left(\frac{-8}{5}\right)+\left(\frac{5}{-11}\right)\)
10. \(-\left(\frac{8}{9}\right)+\left(\frac{8}{-11}\right)\)
11. \(-\left(\frac{-10}{-13}\right)+\left(\frac{11}{-2}\right)\)
12. \(+\left(\frac{-11}{2}\right)-\left(\frac{-4}{-3}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{-12}\right)-\left(\frac{7}{8}\right)\\= \frac{11}{12}-\frac{7}{8}\\=\frac{22}{24}-\frac{21}{24}\\=\frac{22-21}{24}\\=\frac{1}{24}\)
2. \(-\left(\frac{8}{11}\right)-\left(\frac{10}{-3}\right)\\= \frac{-8}{11}+\frac{10}{3}\\=\frac{-24}{33}+\frac{110}{33}\\=\frac{-24+110}{33}\\=\frac{86}{33}\)
3. \(-\left(\frac{-7}{-3}\right)+\left(\frac{4}{-5}\right)\\= \frac{-7}{3}-\frac{4}{5}\\=\frac{-35}{15}-\frac{12}{15}\\=\frac{-35-12}{15}\\=\frac{-47}{15}\)
4. \(+\left(\frac{-11}{13}\right)+\left(\frac{-11}{-4}\right)\\= \frac{-11}{13}+\frac{11}{4}\\=\frac{-44}{52}+\frac{143}{52}\\=\frac{-44+143}{52}\\=\frac{99}{52}\)
5. \(-\left(\frac{5}{6}\right)+\left(\frac{8}{-9}\right)\\= \frac{-5}{6}-\frac{8}{9}\\=\frac{-15}{18}-\frac{16}{18}\\=\frac{-15-16}{18}\\=\frac{-31}{18}\)
6. \(+\left(\frac{-2}{5}\right)-\left(\frac{13}{11}\right)\\= \frac{-2}{5}-\frac{13}{11}\\=\frac{-22}{55}-\frac{65}{55}\\=\frac{-22-65}{55}\\=\frac{-87}{55}\)
7. \(-\left(\frac{9}{2}\right)+\left(\frac{4}{13}\right)\\= \frac{-9}{2}+\frac{4}{13}\\=\frac{-117}{26}+\frac{8}{26}\\=\frac{-117+8}{26}\\=\frac{-109}{26}\)
8. \(+\left(\frac{2}{-3}\right)-\left(\frac{7}{5}\right)\\= \frac{-2}{3}-\frac{7}{5}\\=\frac{-10}{15}-\frac{21}{15}\\=\frac{-10-21}{15}\\=\frac{-31}{15}\)
9. \(-\left(\frac{-8}{5}\right)+\left(\frac{5}{-11}\right)\\= \frac{8}{5}-\frac{5}{11}\\=\frac{88}{55}-\frac{25}{55}\\=\frac{88-25}{55}\\=\frac{63}{55}\)
10. \(-\left(\frac{8}{9}\right)+\left(\frac{8}{-11}\right)\\= \frac{-8}{9}-\frac{8}{11}\\=\frac{-88}{99}-\frac{72}{99}\\=\frac{-88-72}{99}\\=\frac{-160}{99}\)
11. \(-\left(\frac{-10}{-13}\right)+\left(\frac{11}{-2}\right)\\= \frac{-10}{13}-\frac{11}{2}\\=\frac{-20}{26}-\frac{143}{26}\\=\frac{-20-143}{26}\\=\frac{-163}{26}\)
12. \(+\left(\frac{-11}{2}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-11}{2}-\frac{4}{3}\\=\frac{-33}{6}-\frac{8}{6}\\=\frac{-33-8}{6}\\=\frac{-41}{6}\)