Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{5}{13}\right)+\left(\frac{6}{-5}\right)\\= \frac{-5}{13}-\frac{6}{5}\\=\frac{-25}{65}-\frac{78}{65}\\=\frac{-25-78}{65}\\=\frac{-103}{65}\)
2. \(+\left(\frac{-2}{13}\right)-\left(\frac{5}{2}\right)\\= \frac{-2}{13}-\frac{5}{2}\\=\frac{-4}{26}-\frac{65}{26}\\=\frac{-4-65}{26}\\=\frac{-69}{26}\)
3. \(-\left(\frac{3}{-7}\right)-\left(\frac{-8}{3}\right)\\= \frac{3}{7}+\frac{8}{3}\\=\frac{9}{21}+\frac{56}{21}\\=\frac{9+56}{21}\\=\frac{65}{21}\)
4. \(+\left(\frac{5}{-9}\right)-\left(\frac{10}{-3}\right)\\= \frac{-5}{9}+\frac{10}{3}\\=\frac{-5+10}{9}\\=\frac{5}{9}\)
5. \(+\left(\frac{7}{-10}\right)-\left(\frac{-14}{3}\right)\\= \frac{-7}{10}+\frac{14}{3}\\=\frac{-21}{30}+\frac{140}{30}\\=\frac{-21+140}{30}\\=\frac{119}{30}\)
6. \(+\left(\frac{8}{9}\right)-\left(\frac{5}{6}\right)\\= \frac{8}{9}-\frac{5}{6}\\=\frac{16}{18}-\frac{15}{18}\\=\frac{16-15}{18}\\=\frac{1}{18}\)
7. \(-\left(\frac{6}{5}\right)+\left(\frac{8}{-9}\right)\\= \frac{-6}{5}-\frac{8}{9}\\=\frac{-54}{45}-\frac{40}{45}\\=\frac{-54-40}{45}\\=\frac{-94}{45}\)
8. \(-\left(\frac{7}{2}\right)-\left(\frac{-4}{13}\right)\\= \frac{-7}{2}+\frac{4}{13}\\=\frac{-91}{26}+\frac{8}{26}\\=\frac{-91+8}{26}\\=\frac{-83}{26}\)
9. \(+\left(\frac{10}{7}\right)+\left(\frac{11}{-2}\right)\\= \frac{10}{7}-\frac{11}{2}\\=\frac{20}{14}-\frac{77}{14}\\=\frac{20-77}{14}\\=\frac{-57}{14}\)
10. \(-\left(\frac{8}{-7}\right)-\left(\frac{7}{9}\right)\\= \frac{8}{7}-\frac{7}{9}\\=\frac{72}{63}-\frac{49}{63}\\=\frac{72-49}{63}\\=\frac{23}{63}\)
11. \(-\left(\frac{14}{13}\right)+\left(\frac{-2}{-11}\right)\\= \frac{-14}{13}+\frac{2}{11}\\=\frac{-154}{143}+\frac{26}{143}\\=\frac{-154+26}{143}\\=\frac{-128}{143}\)
12. \(+\left(\frac{12}{13}\right)-\left(\frac{-2}{-9}\right)\\= \frac{12}{13}-\frac{2}{9}\\=\frac{108}{117}-\frac{26}{117}\\=\frac{108-26}{117}\\=\frac{82}{117}\)