Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{12}{5}\right)+\left(\frac{6}{-13}\right)\\= \frac{-12}{5}-\frac{6}{13}\\=\frac{-156}{65}-\frac{30}{65}\\=\frac{-156-30}{65}\\=\frac{-186}{65}\)
2. \(-\left(\frac{8}{9}\right)+\left(\frac{-5}{14}\right)\\= \frac{-8}{9}-\frac{5}{14}\\=\frac{-112}{126}-\frac{45}{126}\\=\frac{-112-45}{126}\\=\frac{-157}{126}\)
3. \(-\left(\frac{-6}{11}\right)+\left(\frac{15}{-2}\right)\\= \frac{6}{11}-\frac{15}{2}\\=\frac{12}{22}-\frac{165}{22}\\=\frac{12-165}{22}\\=\frac{-153}{22}\)
4. \(-\left(\frac{-14}{13}\right)-\left(\frac{2}{3}\right)\\= \frac{14}{13}-\frac{2}{3}\\=\frac{42}{39}-\frac{26}{39}\\=\frac{42-26}{39}\\=\frac{16}{39}\)
5. \(+\left(\frac{13}{-11}\right)+\left(\frac{-6}{5}\right)\\= \frac{-13}{11}-\frac{6}{5}\\=\frac{-65}{55}-\frac{66}{55}\\=\frac{-65-66}{55}\\=\frac{-131}{55}\)
6. \(-\left(\frac{-5}{13}\right)-\left(\frac{-12}{-5}\right)\\= \frac{5}{13}-\frac{12}{5}\\=\frac{25}{65}-\frac{156}{65}\\=\frac{25-156}{65}\\=\frac{-131}{65}\)
7. \(+\left(\frac{13}{-2}\right)+\left(\frac{-10}{-3}\right)\\= \frac{-13}{2}+\frac{10}{3}\\=\frac{-39}{6}+\frac{20}{6}\\=\frac{-39+20}{6}\\=\frac{-19}{6}\)
8. \(-\left(\frac{-2}{-3}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-2}{3}+\frac{14}{11}\\=\frac{-22}{33}+\frac{42}{33}\\=\frac{-22+42}{33}\\=\frac{20}{33}\)
9. \(-\left(\frac{3}{13}\right)-\left(\frac{-3}{-2}\right)\\= \frac{-3}{13}-\frac{3}{2}\\=\frac{-6}{26}-\frac{39}{26}\\=\frac{-6-39}{26}\\=\frac{-45}{26}\)
10. \(-\left(\frac{15}{-13}\right)-\left(\frac{13}{-14}\right)\\= \frac{15}{13}+\frac{13}{14}\\=\frac{210}{182}+\frac{169}{182}\\=\frac{210+169}{182}\\=\frac{379}{182}\)
11. \(-\left(\frac{-7}{-2}\right)+\left(\frac{2}{7}\right)\\= \frac{-7}{2}+\frac{2}{7}\\=\frac{-49}{14}+\frac{4}{14}\\=\frac{-49+4}{14}\\=\frac{-45}{14}\)
12. \(-\left(\frac{8}{-3}\right)+\left(\frac{-10}{-7}\right)\\= \frac{8}{3}+\frac{10}{7}\\=\frac{56}{21}+\frac{30}{21}\\=\frac{56+30}{21}\\=\frac{86}{21}\)