Breuken haakjesregel (reeks 1)

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Bereken

1. \(-\left(\frac{11}{-2}\right)-\left(\frac{8}{13}\right)\)
2. \(-\left(\frac{8}{-11}\right)+\left(\frac{-5}{11}\right)\)
3. \(+\left(\frac{8}{3}\right)-\left(\frac{-10}{-3}\right)\)
4. \(-\left(\frac{-7}{-12}\right)-\left(\frac{-7}{-6}\right)\)
5. \(-\left(\frac{-12}{11}\right)+\left(\frac{10}{-7}\right)\)
6. \(-\left(\frac{2}{11}\right)-\left(\frac{10}{-13}\right)\)
7. \(+\left(\frac{8}{-13}\right)-\left(\frac{11}{12}\right)\)
8. \(+\left(\frac{10}{-7}\right)+\left(\frac{4}{9}\right)\)
9. \(-\left(\frac{-11}{-6}\right)-\left(\frac{6}{-11}\right)\)
10. \(+\left(\frac{-3}{-14}\right)-\left(\frac{-10}{13}\right)\)
11. \(-\left(\frac{-9}{-8}\right)-\left(\frac{8}{13}\right)\)
12. \(-\left(\frac{-13}{-5}\right)-\left(\frac{-8}{-11}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{-2}\right)-\left(\frac{8}{13}\right)\\= \frac{11}{2}-\frac{8}{13}\\=\frac{143}{26}-\frac{16}{26}\\=\frac{143-16}{26}\\=\frac{127}{26}\)
2. \(-\left(\frac{8}{-11}\right)+\left(\frac{-5}{11}\right)\\= \frac{8}{11}-\frac{5}{11}\\=\frac{8-5}{11}\\=\frac{3}{11}\)
3. \(+\left(\frac{8}{3}\right)-\left(\frac{-10}{-3}\right)\\= \frac{8}{3}-\frac{10}{3}\\=\frac{8-10}{3}\\=\frac{-2}{3}\)
4. \(-\left(\frac{-7}{-12}\right)-\left(\frac{-7}{-6}\right)\\= \frac{-7}{12}-\frac{7}{6}\\=\frac{-7-7}{12}\\=\frac{-14}{12}\\=\frac{-7}{6}\)
5. \(-\left(\frac{-12}{11}\right)+\left(\frac{10}{-7}\right)\\= \frac{12}{11}-\frac{10}{7}\\=\frac{84}{77}-\frac{110}{77}\\=\frac{84-110}{77}\\=\frac{-26}{77}\)
6. \(-\left(\frac{2}{11}\right)-\left(\frac{10}{-13}\right)\\= \frac{-2}{11}+\frac{10}{13}\\=\frac{-26}{143}+\frac{110}{143}\\=\frac{-26+110}{143}\\=\frac{84}{143}\)
7. \(+\left(\frac{8}{-13}\right)-\left(\frac{11}{12}\right)\\= \frac{-8}{13}-\frac{11}{12}\\=\frac{-96}{156}-\frac{143}{156}\\=\frac{-96-143}{156}\\=\frac{-239}{156}\)
8. \(+\left(\frac{10}{-7}\right)+\left(\frac{4}{9}\right)\\= \frac{-10}{7}+\frac{4}{9}\\=\frac{-90}{63}+\frac{28}{63}\\=\frac{-90+28}{63}\\=\frac{-62}{63}\)
9. \(-\left(\frac{-11}{-6}\right)-\left(\frac{6}{-11}\right)\\= \frac{-11}{6}+\frac{6}{11}\\=\frac{-121}{66}+\frac{36}{66}\\=\frac{-121+36}{66}\\=\frac{-85}{66}\)
10. \(+\left(\frac{-3}{-14}\right)-\left(\frac{-10}{13}\right)\\= \frac{3}{14}+\frac{10}{13}\\=\frac{39}{182}+\frac{140}{182}\\=\frac{39+140}{182}\\=\frac{179}{182}\)
11. \(-\left(\frac{-9}{-8}\right)-\left(\frac{8}{13}\right)\\= \frac{-9}{8}-\frac{8}{13}\\=\frac{-117}{104}-\frac{64}{104}\\=\frac{-117-64}{104}\\=\frac{-181}{104}\)
12. \(-\left(\frac{-13}{-5}\right)-\left(\frac{-8}{-11}\right)\\= \frac{-13}{5}-\frac{8}{11}\\=\frac{-143}{55}-\frac{40}{55}\\=\frac{-143-40}{55}\\=\frac{-183}{55}\)