Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-10}{-9}\right)+\left(\frac{12}{-11}\right)\\= \frac{-10}{9}-\frac{12}{11}\\=\frac{-110}{99}-\frac{108}{99}\\=\frac{-110-108}{99}\\=\frac{-218}{99}\)
2. \(-\left(\frac{7}{10}\right)+\left(\frac{-15}{-13}\right)\\= \frac{-7}{10}+\frac{15}{13}\\=\frac{-91}{130}+\frac{150}{130}\\=\frac{-91+150}{130}\\=\frac{59}{130}\)
3. \(+\left(\frac{3}{-13}\right)+\left(\frac{7}{8}\right)\\= \frac{-3}{13}+\frac{7}{8}\\=\frac{-24}{104}+\frac{91}{104}\\=\frac{-24+91}{104}\\=\frac{67}{104}\)
4. \(-\left(\frac{3}{-5}\right)-\left(\frac{5}{11}\right)\\= \frac{3}{5}-\frac{5}{11}\\=\frac{33}{55}-\frac{25}{55}\\=\frac{33-25}{55}\\=\frac{8}{55}\)
5. \(-\left(\frac{-2}{-5}\right)-\left(\frac{-13}{-8}\right)\\= \frac{-2}{5}-\frac{13}{8}\\=\frac{-16}{40}-\frac{65}{40}\\=\frac{-16-65}{40}\\=\frac{-81}{40}\)
6. \(-\left(\frac{-8}{5}\right)+\left(\frac{5}{2}\right)\\= \frac{8}{5}+\frac{5}{2}\\=\frac{16}{10}+\frac{25}{10}\\=\frac{16+25}{10}\\=\frac{41}{10}\)
7. \(-\left(\frac{3}{-4}\right)+\left(\frac{15}{2}\right)\\= \frac{3}{4}+\frac{15}{2}\\=\frac{3+15}{4}\\=\frac{18}{4}\\=\frac{9}{2}\)
8. \(+\left(\frac{15}{-11}\right)-\left(\frac{-9}{10}\right)\\= \frac{-15}{11}+\frac{9}{10}\\=\frac{-150}{110}+\frac{99}{110}\\=\frac{-150+99}{110}\\=\frac{-51}{110}\)
9. \(-\left(\frac{-6}{-5}\right)+\left(\frac{6}{11}\right)\\= \frac{-6}{5}+\frac{6}{11}\\=\frac{-66}{55}+\frac{30}{55}\\=\frac{-66+30}{55}\\=\frac{-36}{55}\)
10. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-3}{4}\right)\\= \frac{12}{11}+\frac{3}{4}\\=\frac{48}{44}+\frac{33}{44}\\=\frac{48+33}{44}\\=\frac{81}{44}\)
11. \(-\left(\frac{-6}{11}\right)+\left(\frac{7}{2}\right)\\= \frac{6}{11}+\frac{7}{2}\\=\frac{12}{22}+\frac{77}{22}\\=\frac{12+77}{22}\\=\frac{89}{22}\)
12. \(+\left(\frac{-14}{9}\right)-\left(\frac{-15}{-7}\right)\\= \frac{-14}{9}-\frac{15}{7}\\=\frac{-98}{63}-\frac{135}{63}\\=\frac{-98-135}{63}\\=\frac{-233}{63}\)