Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-10}{7}\right)-\left(\frac{5}{-6}\right)\\= \frac{10}{7}+\frac{5}{6}\\=\frac{60}{42}+\frac{35}{42}\\=\frac{60+35}{42}\\=\frac{95}{42}\)
2. \(-\left(\frac{9}{-10}\right)-\left(\frac{12}{-5}\right)\\= \frac{9}{10}+\frac{12}{5}\\=\frac{9+12}{10}\\=\frac{21}{10}\)
3. \(+\left(\frac{10}{3}\right)-\left(\frac{2}{3}\right)\\= \frac{10}{3}-\frac{2}{3}\\=\frac{10-2}{3}\\=\frac{8}{3}\)
4. \(+\left(\frac{4}{5}\right)-\left(\frac{-8}{9}\right)\\= \frac{4}{5}+\frac{8}{9}\\=\frac{36}{45}+\frac{40}{45}\\=\frac{36+40}{45}\\=\frac{76}{45}\)
5. \(+\left(\frac{4}{3}\right)+\left(\frac{-12}{-5}\right)\\= \frac{4}{3}+\frac{12}{5}\\=\frac{20}{15}+\frac{36}{15}\\=\frac{20+36}{15}\\=\frac{56}{15}\)
6. \(+\left(\frac{8}{-3}\right)-\left(\frac{-7}{10}\right)\\= \frac{-8}{3}+\frac{7}{10}\\=\frac{-80}{30}+\frac{21}{30}\\=\frac{-80+21}{30}\\=\frac{-59}{30}\)
7. \(+\left(\frac{2}{11}\right)-\left(\frac{-2}{-11}\right)\\= \frac{2}{11}-\frac{2}{11}\\=\frac{2-2}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
8. \(+\left(\frac{2}{-5}\right)+\left(\frac{3}{8}\right)\\= \frac{-2}{5}+\frac{3}{8}\\=\frac{-16}{40}+\frac{15}{40}\\=\frac{-16+15}{40}\\=\frac{-1}{40}\)
9. \(+\left(\frac{-4}{13}\right)+\left(\frac{-9}{-13}\right)\\= \frac{-4}{13}+\frac{9}{13}\\=\frac{-4+9}{13}\\=\frac{5}{13}\)
10. \(+\left(\frac{11}{-12}\right)+\left(\frac{5}{-13}\right)\\= \frac{-11}{12}-\frac{5}{13}\\=\frac{-143}{156}-\frac{60}{156}\\=\frac{-143-60}{156}\\=\frac{-203}{156}\)
11. \(+\left(\frac{-3}{11}\right)+\left(\frac{11}{-10}\right)\\= \frac{-3}{11}-\frac{11}{10}\\=\frac{-30}{110}-\frac{121}{110}\\=\frac{-30-121}{110}\\=\frac{-151}{110}\)
12. \(-\left(\frac{-10}{-3}\right)-\left(\frac{14}{3}\right)\\= \frac{-10}{3}-\frac{14}{3}\\=\frac{-10-14}{3}\\=\frac{-24}{3}\\=\frac{-8}{1}\)