Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{-3}\right)+\left(\frac{2}{3}\right)\\= \frac{-14}{3}+\frac{2}{3}\\=\frac{-14+2}{3}\\=\frac{-12}{3}\\=\frac{-4}{1}\)
2. \(+\left(\frac{-8}{-9}\right)+\left(\frac{-12}{5}\right)\\= \frac{8}{9}-\frac{12}{5}\\=\frac{40}{45}-\frac{108}{45}\\=\frac{40-108}{45}\\=\frac{-68}{45}\)
3. \(-\left(\frac{-8}{-7}\right)-\left(\frac{10}{-13}\right)\\= \frac{-8}{7}+\frac{10}{13}\\=\frac{-104}{91}+\frac{70}{91}\\=\frac{-104+70}{91}\\=\frac{-34}{91}\)
4. \(+\left(\frac{-9}{-13}\right)-\left(\frac{15}{-13}\right)\\= \frac{9}{13}+\frac{15}{13}\\=\frac{9+15}{13}\\=\frac{24}{13}\)
5. \(+\left(\frac{-10}{-3}\right)+\left(\frac{-2}{-9}\right)\\= \frac{10}{3}+\frac{2}{9}\\=\frac{30}{9}+\frac{2}{9}\\=\frac{30+2}{9}\\=\frac{32}{9}\)
6. \(+\left(\frac{8}{-11}\right)+\left(\frac{6}{11}\right)\\= \frac{-8}{11}+\frac{6}{11}\\=\frac{-8+6}{11}\\=\frac{-2}{11}\)
7. \(+\left(\frac{11}{-7}\right)-\left(\frac{11}{5}\right)\\= \frac{-11}{7}-\frac{11}{5}\\=\frac{-55}{35}-\frac{77}{35}\\=\frac{-55-77}{35}\\=\frac{-132}{35}\)
8. \(-\left(\frac{-6}{5}\right)-\left(\frac{-13}{-8}\right)\\= \frac{6}{5}-\frac{13}{8}\\=\frac{48}{40}-\frac{65}{40}\\=\frac{48-65}{40}\\=\frac{-17}{40}\)
9. \(-\left(\frac{-3}{-8}\right)+\left(\frac{-13}{-3}\right)\\= \frac{-3}{8}+\frac{13}{3}\\=\frac{-9}{24}+\frac{104}{24}\\=\frac{-9+104}{24}\\=\frac{95}{24}\)
10. \(-\left(\frac{-12}{5}\right)+\left(\frac{4}{5}\right)\\= \frac{12}{5}+\frac{4}{5}\\=\frac{12+4}{5}\\=\frac{16}{5}\)
11. \(+\left(\frac{8}{9}\right)+\left(\frac{-3}{-7}\right)\\= \frac{8}{9}+\frac{3}{7}\\=\frac{56}{63}+\frac{27}{63}\\=\frac{56+27}{63}\\=\frac{83}{63}\)
12. \(+\left(\frac{-13}{-14}\right)-\left(\frac{8}{-3}\right)\\= \frac{13}{14}+\frac{8}{3}\\=\frac{39}{42}+\frac{112}{42}\\=\frac{39+112}{42}\\=\frac{151}{42}\)