Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{10}{-11}\right)+\left(\frac{6}{-5}\right)\\= \frac{10}{11}-\frac{6}{5}\\=\frac{50}{55}-\frac{66}{55}\\=\frac{50-66}{55}\\=\frac{-16}{55}\)
2. \(-\left(\frac{2}{9}\right)-\left(\frac{7}{-2}\right)\\= \frac{-2}{9}+\frac{7}{2}\\=\frac{-4}{18}+\frac{63}{18}\\=\frac{-4+63}{18}\\=\frac{59}{18}\)
3. \(-\left(\frac{-5}{-6}\right)+\left(\frac{6}{-5}\right)\\= \frac{-5}{6}-\frac{6}{5}\\=\frac{-25}{30}-\frac{36}{30}\\=\frac{-25-36}{30}\\=\frac{-61}{30}\)
4. \(-\left(\frac{6}{-11}\right)-\left(\frac{8}{3}\right)\\= \frac{6}{11}-\frac{8}{3}\\=\frac{18}{33}-\frac{88}{33}\\=\frac{18-88}{33}\\=\frac{-70}{33}\)
5. \(+\left(\frac{11}{8}\right)-\left(\frac{-12}{5}\right)\\= \frac{11}{8}+\frac{12}{5}\\=\frac{55}{40}+\frac{96}{40}\\=\frac{55+96}{40}\\=\frac{151}{40}\)
6. \(-\left(\frac{-4}{3}\right)-\left(\frac{-13}{3}\right)\\= \frac{4}{3}+\frac{13}{3}\\=\frac{4+13}{3}\\=\frac{17}{3}\)
7. \(+\left(\frac{-5}{6}\right)-\left(\frac{-2}{-9}\right)\\= \frac{-5}{6}-\frac{2}{9}\\=\frac{-15}{18}-\frac{4}{18}\\=\frac{-15-4}{18}\\=\frac{-19}{18}\)
8. \(-\left(\frac{-11}{-6}\right)-\left(\frac{11}{4}\right)\\= \frac{-11}{6}-\frac{11}{4}\\=\frac{-22}{12}-\frac{33}{12}\\=\frac{-22-33}{12}\\=\frac{-55}{12}\)
9. \(+\left(\frac{-14}{-13}\right)-\left(\frac{-7}{9}\right)\\= \frac{14}{13}+\frac{7}{9}\\=\frac{126}{117}+\frac{91}{117}\\=\frac{126+91}{117}\\=\frac{217}{117}\)
10. \(-\left(\frac{10}{13}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-10}{13}+\frac{8}{7}\\=\frac{-70}{91}+\frac{104}{91}\\=\frac{-70+104}{91}\\=\frac{34}{91}\)
11. \(+\left(\frac{-11}{2}\right)-\left(\frac{-5}{-13}\right)\\= \frac{-11}{2}-\frac{5}{13}\\=\frac{-143}{26}-\frac{10}{26}\\=\frac{-143-10}{26}\\=\frac{-153}{26}\)
12. \(-\left(\frac{14}{13}\right)-\left(\frac{6}{5}\right)\\= \frac{-14}{13}-\frac{6}{5}\\=\frac{-70}{65}-\frac{78}{65}\\=\frac{-70-78}{65}\\=\frac{-148}{65}\)