Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{10}\right)-\left(\frac{-13}{-12}\right)\\= \frac{11}{10}-\frac{13}{12}\\=\frac{66}{60}-\frac{65}{60}\\=\frac{66-65}{60}\\=\frac{1}{60}\)
2. \(+\left(\frac{12}{-7}\right)+\left(\frac{10}{-11}\right)\\= \frac{-12}{7}-\frac{10}{11}\\=\frac{-132}{77}-\frac{70}{77}\\=\frac{-132-70}{77}\\=\frac{-202}{77}\)
3. \(+\left(\frac{-2}{5}\right)-\left(\frac{7}{-8}\right)\\= \frac{-2}{5}+\frac{7}{8}\\=\frac{-16}{40}+\frac{35}{40}\\=\frac{-16+35}{40}\\=\frac{19}{40}\)
4. \(-\left(\frac{-13}{4}\right)-\left(\frac{4}{7}\right)\\= \frac{13}{4}-\frac{4}{7}\\=\frac{91}{28}-\frac{16}{28}\\=\frac{91-16}{28}\\=\frac{75}{28}\)
5. \(+\left(\frac{-6}{5}\right)+\left(\frac{-5}{7}\right)\\= \frac{-6}{5}-\frac{5}{7}\\=\frac{-42}{35}-\frac{25}{35}\\=\frac{-42-25}{35}\\=\frac{-67}{35}\)
6. \(-\left(\frac{-13}{7}\right)+\left(\frac{2}{-3}\right)\\= \frac{13}{7}-\frac{2}{3}\\=\frac{39}{21}-\frac{14}{21}\\=\frac{39-14}{21}\\=\frac{25}{21}\)
7. \(+\left(\frac{-12}{-13}\right)+\left(\frac{-15}{-7}\right)\\= \frac{12}{13}+\frac{15}{7}\\=\frac{84}{91}+\frac{195}{91}\\=\frac{84+195}{91}\\=\frac{279}{91}\)
8. \(-\left(\frac{-14}{-9}\right)+\left(\frac{10}{7}\right)\\= \frac{-14}{9}+\frac{10}{7}\\=\frac{-98}{63}+\frac{90}{63}\\=\frac{-98+90}{63}\\=\frac{-8}{63}\)
9. \(+\left(\frac{4}{7}\right)+\left(\frac{-8}{7}\right)\\= \frac{4}{7}-\frac{8}{7}\\=\frac{4-8}{7}\\=\frac{-4}{7}\)
10. \(+\left(\frac{15}{11}\right)-\left(\frac{6}{-11}\right)\\= \frac{15}{11}+\frac{6}{11}\\=\frac{15+6}{11}\\=\frac{21}{11}\)
11. \(+\left(\frac{5}{11}\right)+\left(\frac{-11}{14}\right)\\= \frac{5}{11}-\frac{11}{14}\\=\frac{70}{154}-\frac{121}{154}\\=\frac{70-121}{154}\\=\frac{-51}{154}\)
12. \(-\left(\frac{13}{14}\right)+\left(\frac{15}{-4}\right)\\= \frac{-13}{14}-\frac{15}{4}\\=\frac{-26}{28}-\frac{105}{28}\\=\frac{-26-105}{28}\\=\frac{-131}{28}\)