Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{8}{-9}\right)-\left(\frac{-4}{-5}\right)\\= \frac{8}{9}-\frac{4}{5}\\=\frac{40}{45}-\frac{36}{45}\\=\frac{40-36}{45}\\=\frac{4}{45}\)
2. \(-\left(\frac{-15}{2}\right)+\left(\frac{-2}{11}\right)\\= \frac{15}{2}-\frac{2}{11}\\=\frac{165}{22}-\frac{4}{22}\\=\frac{165-4}{22}\\=\frac{161}{22}\)
3. \(-\left(\frac{7}{-8}\right)+\left(\frac{-3}{2}\right)\\= \frac{7}{8}-\frac{3}{2}\\=\frac{7-3}{8}\\=\frac{4}{8}\\=\frac{1}{2}\)
4. \(-\left(\frac{-13}{-7}\right)-\left(\frac{11}{7}\right)\\= \frac{-13}{7}-\frac{11}{7}\\=\frac{-13-11}{7}\\=\frac{-24}{7}\)
5. \(+\left(\frac{-9}{-10}\right)+\left(\frac{12}{5}\right)\\= \frac{9}{10}+\frac{12}{5}\\=\frac{9+12}{10}\\=\frac{21}{10}\)
6. \(-\left(\frac{-12}{11}\right)+\left(\frac{8}{13}\right)\\= \frac{12}{11}+\frac{8}{13}\\=\frac{156}{143}+\frac{88}{143}\\=\frac{156+88}{143}\\=\frac{244}{143}\)
7. \(+\left(\frac{2}{3}\right)+\left(\frac{14}{9}\right)\\= \frac{2}{3}+\frac{14}{9}\\=\frac{6}{9}+\frac{14}{9}\\=\frac{6+14}{9}\\=\frac{20}{9}\)
8. \(+\left(\frac{-15}{11}\right)-\left(\frac{6}{13}\right)\\= \frac{-15}{11}-\frac{6}{13}\\=\frac{-195}{143}-\frac{66}{143}\\=\frac{-195-66}{143}\\=\frac{-261}{143}\)
9. \(+\left(\frac{-14}{-3}\right)-\left(\frac{-6}{7}\right)\\= \frac{14}{3}+\frac{6}{7}\\=\frac{98}{21}+\frac{18}{21}\\=\frac{98+18}{21}\\=\frac{116}{21}\)
10. \(-\left(\frac{4}{-13}\right)+\left(\frac{-7}{8}\right)\\= \frac{4}{13}-\frac{7}{8}\\=\frac{32}{104}-\frac{91}{104}\\=\frac{32-91}{104}\\=\frac{-59}{104}\)
11. \(+\left(\frac{-12}{-13}\right)+\left(\frac{11}{-12}\right)\\= \frac{12}{13}-\frac{11}{12}\\=\frac{144}{156}-\frac{143}{156}\\=\frac{144-143}{156}\\=\frac{1}{156}\)
12. \(+\left(\frac{13}{-3}\right)+\left(\frac{-5}{-2}\right)\\= \frac{-13}{3}+\frac{5}{2}\\=\frac{-26}{6}+\frac{15}{6}\\=\frac{-26+15}{6}\\=\frac{-11}{6}\)