Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-2}\right)-\left(\frac{-13}{-3}\right)\\= \frac{-13}{2}-\frac{13}{3}\\=\frac{-39}{6}-\frac{26}{6}\\=\frac{-39-26}{6}\\=\frac{-65}{6}\)
2. \(+\left(\frac{-9}{-14}\right)-\left(\frac{4}{11}\right)\\= \frac{9}{14}-\frac{4}{11}\\=\frac{99}{154}-\frac{56}{154}\\=\frac{99-56}{154}\\=\frac{43}{154}\)
3. \(-\left(\frac{-14}{9}\right)-\left(\frac{-5}{-2}\right)\\= \frac{14}{9}-\frac{5}{2}\\=\frac{28}{18}-\frac{45}{18}\\=\frac{28-45}{18}\\=\frac{-17}{18}\)
4. \(-\left(\frac{-8}{3}\right)-\left(\frac{-13}{-6}\right)\\= \frac{8}{3}-\frac{13}{6}\\=\frac{16}{6}-\frac{13}{6}\\=\frac{16-13}{6}\\=\frac{3}{6}\\=\frac{1}{2}\)
5. \(-\left(\frac{11}{12}\right)+\left(\frac{4}{7}\right)\\= \frac{-11}{12}+\frac{4}{7}\\=\frac{-77}{84}+\frac{48}{84}\\=\frac{-77+48}{84}\\=\frac{-29}{84}\)
6. \(+\left(\frac{14}{-13}\right)-\left(\frac{15}{-11}\right)\\= \frac{-14}{13}+\frac{15}{11}\\=\frac{-154}{143}+\frac{195}{143}\\=\frac{-154+195}{143}\\=\frac{41}{143}\)
7. \(-\left(\frac{-10}{9}\right)+\left(\frac{-15}{-2}\right)\\= \frac{10}{9}+\frac{15}{2}\\=\frac{20}{18}+\frac{135}{18}\\=\frac{20+135}{18}\\=\frac{155}{18}\)
8. \(-\left(\frac{-11}{-5}\right)+\left(\frac{-4}{9}\right)\\= \frac{-11}{5}-\frac{4}{9}\\=\frac{-99}{45}-\frac{20}{45}\\=\frac{-99-20}{45}\\=\frac{-119}{45}\)
9. \(-\left(\frac{7}{12}\right)-\left(\frac{3}{13}\right)\\= \frac{-7}{12}-\frac{3}{13}\\=\frac{-91}{156}-\frac{36}{156}\\=\frac{-91-36}{156}\\=\frac{-127}{156}\)
10. \(+\left(\frac{-5}{-4}\right)+\left(\frac{-2}{-13}\right)\\= \frac{5}{4}+\frac{2}{13}\\=\frac{65}{52}+\frac{8}{52}\\=\frac{65+8}{52}\\=\frac{73}{52}\)
11. \(-\left(\frac{8}{-3}\right)+\left(\frac{2}{3}\right)\\= \frac{8}{3}+\frac{2}{3}\\=\frac{8+2}{3}\\=\frac{10}{3}\)
12. \(-\left(\frac{4}{5}\right)+\left(\frac{-15}{-14}\right)\\= \frac{-4}{5}+\frac{15}{14}\\=\frac{-56}{70}+\frac{75}{70}\\=\frac{-56+75}{70}\\=\frac{19}{70}\)