Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-7}\right)+\left(\frac{7}{-8}\right)\\= \frac{4}{7}-\frac{7}{8}\\=\frac{32}{56}-\frac{49}{56}\\=\frac{32-49}{56}\\=\frac{-17}{56}\)
2. \(-\left(\frac{5}{-13}\right)-\left(\frac{13}{-9}\right)\\= \frac{5}{13}+\frac{13}{9}\\=\frac{45}{117}+\frac{169}{117}\\=\frac{45+169}{117}\\=\frac{214}{117}\)
3. \(+\left(\frac{-9}{-13}\right)-\left(\frac{13}{-7}\right)\\= \frac{9}{13}+\frac{13}{7}\\=\frac{63}{91}+\frac{169}{91}\\=\frac{63+169}{91}\\=\frac{232}{91}\)
4. \(+\left(\frac{-4}{-9}\right)+\left(\frac{9}{11}\right)\\= \frac{4}{9}+\frac{9}{11}\\=\frac{44}{99}+\frac{81}{99}\\=\frac{44+81}{99}\\=\frac{125}{99}\)
5. \(-\left(\frac{-8}{3}\right)+\left(\frac{-8}{-11}\right)\\= \frac{8}{3}+\frac{8}{11}\\=\frac{88}{33}+\frac{24}{33}\\=\frac{88+24}{33}\\=\frac{112}{33}\)
6. \(-\left(\frac{15}{11}\right)+\left(\frac{9}{2}\right)\\= \frac{-15}{11}+\frac{9}{2}\\=\frac{-30}{22}+\frac{99}{22}\\=\frac{-30+99}{22}\\=\frac{69}{22}\)
7. \(+\left(\frac{-7}{-4}\right)-\left(\frac{6}{-5}\right)\\= \frac{7}{4}+\frac{6}{5}\\=\frac{35}{20}+\frac{24}{20}\\=\frac{35+24}{20}\\=\frac{59}{20}\)
8. \(+\left(\frac{3}{5}\right)+\left(\frac{-9}{7}\right)\\= \frac{3}{5}-\frac{9}{7}\\=\frac{21}{35}-\frac{45}{35}\\=\frac{21-45}{35}\\=\frac{-24}{35}\)
9. \(+\left(\frac{12}{-5}\right)+\left(\frac{-13}{-9}\right)\\= \frac{-12}{5}+\frac{13}{9}\\=\frac{-108}{45}+\frac{65}{45}\\=\frac{-108+65}{45}\\=\frac{-43}{45}\)
10. \(-\left(\frac{-7}{12}\right)+\left(\frac{2}{-13}\right)\\= \frac{7}{12}-\frac{2}{13}\\=\frac{91}{156}-\frac{24}{156}\\=\frac{91-24}{156}\\=\frac{67}{156}\)
11. \(+\left(\frac{-12}{-7}\right)+\left(\frac{-11}{6}\right)\\= \frac{12}{7}-\frac{11}{6}\\=\frac{72}{42}-\frac{77}{42}\\=\frac{72-77}{42}\\=\frac{-5}{42}\)
12. \(+\left(\frac{-5}{-2}\right)+\left(\frac{12}{-13}\right)\\= \frac{5}{2}-\frac{12}{13}\\=\frac{65}{26}-\frac{24}{26}\\=\frac{65-24}{26}\\=\frac{41}{26}\)