Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{11}\right)-\left(\frac{-14}{9}\right)\\= \frac{12}{11}+\frac{14}{9}\\=\frac{108}{99}+\frac{154}{99}\\=\frac{108+154}{99}\\=\frac{262}{99}\)
2. \(-\left(\frac{13}{-10}\right)-\left(\frac{12}{-11}\right)\\= \frac{13}{10}+\frac{12}{11}\\=\frac{143}{110}+\frac{120}{110}\\=\frac{143+120}{110}\\=\frac{263}{110}\)
3. \(+\left(\frac{10}{-3}\right)+\left(\frac{7}{9}\right)\\= \frac{-10}{3}+\frac{7}{9}\\=\frac{-30}{9}+\frac{7}{9}\\=\frac{-30+7}{9}\\=\frac{-23}{9}\)
4. \(+\left(\frac{-2}{-5}\right)-\left(\frac{5}{-6}\right)\\= \frac{2}{5}+\frac{5}{6}\\=\frac{12}{30}+\frac{25}{30}\\=\frac{12+25}{30}\\=\frac{37}{30}\)
5. \(-\left(\frac{9}{5}\right)+\left(\frac{13}{12}\right)\\= \frac{-9}{5}+\frac{13}{12}\\=\frac{-108}{60}+\frac{65}{60}\\=\frac{-108+65}{60}\\=\frac{-43}{60}\)
6. \(-\left(\frac{11}{-6}\right)+\left(\frac{6}{-11}\right)\\= \frac{11}{6}-\frac{6}{11}\\=\frac{121}{66}-\frac{36}{66}\\=\frac{121-36}{66}\\=\frac{85}{66}\)
7. \(+\left(\frac{14}{-9}\right)+\left(\frac{5}{6}\right)\\= \frac{-14}{9}+\frac{5}{6}\\=\frac{-28}{18}+\frac{15}{18}\\=\frac{-28+15}{18}\\=\frac{-13}{18}\)
8. \(-\left(\frac{14}{-9}\right)-\left(\frac{-12}{11}\right)\\= \frac{14}{9}+\frac{12}{11}\\=\frac{154}{99}+\frac{108}{99}\\=\frac{154+108}{99}\\=\frac{262}{99}\)
9. \(+\left(\frac{8}{5}\right)-\left(\frac{-14}{9}\right)\\= \frac{8}{5}+\frac{14}{9}\\=\frac{72}{45}+\frac{70}{45}\\=\frac{72+70}{45}\\=\frac{142}{45}\)
10. \(-\left(\frac{10}{3}\right)-\left(\frac{5}{-13}\right)\\= \frac{-10}{3}+\frac{5}{13}\\=\frac{-130}{39}+\frac{15}{39}\\=\frac{-130+15}{39}\\=\frac{-115}{39}\)
11. \(-\left(\frac{8}{9}\right)-\left(\frac{-9}{7}\right)\\= \frac{-8}{9}+\frac{9}{7}\\=\frac{-56}{63}+\frac{81}{63}\\=\frac{-56+81}{63}\\=\frac{25}{63}\)
12. \(+\left(\frac{3}{14}\right)+\left(\frac{-5}{6}\right)\\= \frac{3}{14}-\frac{5}{6}\\=\frac{9}{42}-\frac{35}{42}\\=\frac{9-35}{42}\\=\frac{-26}{42}\\=\frac{-13}{21}\)