Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{-11}\right)+\left(\frac{-14}{3}\right)\\= \frac{-15}{11}-\frac{14}{3}\\=\frac{-45}{33}-\frac{154}{33}\\=\frac{-45-154}{33}\\=\frac{-199}{33}\)
2. \(-\left(\frac{-10}{-7}\right)+\left(\frac{2}{11}\right)\\= \frac{-10}{7}+\frac{2}{11}\\=\frac{-110}{77}+\frac{14}{77}\\=\frac{-110+14}{77}\\=\frac{-96}{77}\)
3. \(-\left(\frac{13}{-2}\right)+\left(\frac{2}{-3}\right)\\= \frac{13}{2}-\frac{2}{3}\\=\frac{39}{6}-\frac{4}{6}\\=\frac{39-4}{6}\\=\frac{35}{6}\)
4. \(+\left(\frac{-15}{-11}\right)+\left(\frac{13}{11}\right)\\= \frac{15}{11}+\frac{13}{11}\\=\frac{15+13}{11}\\=\frac{28}{11}\)
5. \(-\left(\frac{14}{13}\right)+\left(\frac{15}{7}\right)\\= \frac{-14}{13}+\frac{15}{7}\\=\frac{-98}{91}+\frac{195}{91}\\=\frac{-98+195}{91}\\=\frac{97}{91}\)
6. \(-\left(\frac{6}{-7}\right)+\left(\frac{3}{-5}\right)\\= \frac{6}{7}-\frac{3}{5}\\=\frac{30}{35}-\frac{21}{35}\\=\frac{30-21}{35}\\=\frac{9}{35}\)
7. \(+\left(\frac{-6}{-5}\right)-\left(\frac{-3}{11}\right)\\= \frac{6}{5}+\frac{3}{11}\\=\frac{66}{55}+\frac{15}{55}\\=\frac{66+15}{55}\\=\frac{81}{55}\)
8. \(+\left(\frac{9}{10}\right)+\left(\frac{-11}{-5}\right)\\= \frac{9}{10}+\frac{11}{5}\\=\frac{9+11}{10}\\=\frac{20}{10}\\=\frac{2}{1}\)
9. \(+\left(\frac{-11}{-13}\right)+\left(\frac{6}{7}\right)\\= \frac{11}{13}+\frac{6}{7}\\=\frac{77}{91}+\frac{78}{91}\\=\frac{77+78}{91}\\=\frac{155}{91}\)
10. \(-\left(\frac{-14}{-13}\right)+\left(\frac{-6}{5}\right)\\= \frac{-14}{13}-\frac{6}{5}\\=\frac{-70}{65}-\frac{78}{65}\\=\frac{-70-78}{65}\\=\frac{-148}{65}\)
11. \(-\left(\frac{-2}{9}\right)-\left(\frac{-9}{10}\right)\\= \frac{2}{9}+\frac{9}{10}\\=\frac{20}{90}+\frac{81}{90}\\=\frac{20+81}{90}\\=\frac{101}{90}\)
12. \(+\left(\frac{10}{11}\right)-\left(\frac{12}{5}\right)\\= \frac{10}{11}-\frac{12}{5}\\=\frac{50}{55}-\frac{132}{55}\\=\frac{50-132}{55}\\=\frac{-82}{55}\)