Breuken haakjesregel (reeks 1)

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Bereken

1. \(-\left(\frac{5}{6}\right)-\left(\frac{-9}{-2}\right)\)
2. \(+\left(\frac{9}{7}\right)-\left(\frac{-10}{-7}\right)\)
3. \(+\left(\frac{5}{9}\right)+\left(\frac{-7}{-8}\right)\)
4. \(-\left(\frac{-14}{9}\right)+\left(\frac{-8}{-11}\right)\)
5. \(-\left(\frac{2}{11}\right)+\left(\frac{5}{14}\right)\)
6. \(-\left(\frac{-10}{11}\right)-\left(\frac{-2}{-13}\right)\)
7. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-2}{11}\right)\)
8. \(-\left(\frac{-6}{-5}\right)-\left(\frac{5}{-12}\right)\)
9. \(-\left(\frac{10}{7}\right)-\left(\frac{-6}{11}\right)\)
10. \(-\left(\frac{13}{2}\right)-\left(\frac{15}{4}\right)\)
11. \(-\left(\frac{-6}{-11}\right)-\left(\frac{-9}{8}\right)\)
12. \(-\left(\frac{14}{5}\right)+\left(\frac{-9}{10}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{6}\right)-\left(\frac{-9}{-2}\right)\\= \frac{-5}{6}-\frac{9}{2}\\=\frac{-5-9}{6}\\=\frac{-14}{6}\\=\frac{-7}{3}\)
2. \(+\left(\frac{9}{7}\right)-\left(\frac{-10}{-7}\right)\\= \frac{9}{7}-\frac{10}{7}\\=\frac{9-10}{7}\\=\frac{-1}{7}\)
3. \(+\left(\frac{5}{9}\right)+\left(\frac{-7}{-8}\right)\\= \frac{5}{9}+\frac{7}{8}\\=\frac{40}{72}+\frac{63}{72}\\=\frac{40+63}{72}\\=\frac{103}{72}\)
4. \(-\left(\frac{-14}{9}\right)+\left(\frac{-8}{-11}\right)\\= \frac{14}{9}+\frac{8}{11}\\=\frac{154}{99}+\frac{72}{99}\\=\frac{154+72}{99}\\=\frac{226}{99}\)
5. \(-\left(\frac{2}{11}\right)+\left(\frac{5}{14}\right)\\= \frac{-2}{11}+\frac{5}{14}\\=\frac{-28}{154}+\frac{55}{154}\\=\frac{-28+55}{154}\\=\frac{27}{154}\)
6. \(-\left(\frac{-10}{11}\right)-\left(\frac{-2}{-13}\right)\\= \frac{10}{11}-\frac{2}{13}\\=\frac{130}{143}-\frac{22}{143}\\=\frac{130-22}{143}\\=\frac{108}{143}\)
7. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-2}{11}\right)\\= \frac{-5}{11}-\frac{2}{11}\\=\frac{-5-2}{11}\\=\frac{-7}{11}\)
8. \(-\left(\frac{-6}{-5}\right)-\left(\frac{5}{-12}\right)\\= \frac{-6}{5}+\frac{5}{12}\\=\frac{-72}{60}+\frac{25}{60}\\=\frac{-72+25}{60}\\=\frac{-47}{60}\)
9. \(-\left(\frac{10}{7}\right)-\left(\frac{-6}{11}\right)\\= \frac{-10}{7}+\frac{6}{11}\\=\frac{-110}{77}+\frac{42}{77}\\=\frac{-110+42}{77}\\=\frac{-68}{77}\)
10. \(-\left(\frac{13}{2}\right)-\left(\frac{15}{4}\right)\\= \frac{-13}{2}-\frac{15}{4}\\=\frac{-26}{4}-\frac{15}{4}\\=\frac{-26-15}{4}\\=\frac{-41}{4}\)
11. \(-\left(\frac{-6}{-11}\right)-\left(\frac{-9}{8}\right)\\= \frac{-6}{11}+\frac{9}{8}\\=\frac{-48}{88}+\frac{99}{88}\\=\frac{-48+99}{88}\\=\frac{51}{88}\)
12. \(-\left(\frac{14}{5}\right)+\left(\frac{-9}{10}\right)\\= \frac{-14}{5}-\frac{9}{10}\\=\frac{-28}{10}-\frac{9}{10}\\=\frac{-28-9}{10}\\=\frac{-37}{10}\)