Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-6}{-13}\right)-\left(\frac{15}{-13}\right)\\= \frac{6}{13}+\frac{15}{13}\\=\frac{6+15}{13}\\=\frac{21}{13}\)
2. \(-\left(\frac{-5}{-11}\right)+\left(\frac{7}{9}\right)\\= \frac{-5}{11}+\frac{7}{9}\\=\frac{-45}{99}+\frac{77}{99}\\=\frac{-45+77}{99}\\=\frac{32}{99}\)
3. \(-\left(\frac{-9}{2}\right)+\left(\frac{-4}{7}\right)\\= \frac{9}{2}-\frac{4}{7}\\=\frac{63}{14}-\frac{8}{14}\\=\frac{63-8}{14}\\=\frac{55}{14}\)
4. \(+\left(\frac{-3}{-11}\right)+\left(\frac{12}{5}\right)\\= \frac{3}{11}+\frac{12}{5}\\=\frac{15}{55}+\frac{132}{55}\\=\frac{15+132}{55}\\=\frac{147}{55}\)
5. \(+\left(\frac{-14}{3}\right)-\left(\frac{11}{-14}\right)\\= \frac{-14}{3}+\frac{11}{14}\\=\frac{-196}{42}+\frac{33}{42}\\=\frac{-196+33}{42}\\=\frac{-163}{42}\)
6. \(+\left(\frac{3}{-5}\right)-\left(\frac{-15}{-4}\right)\\= \frac{-3}{5}-\frac{15}{4}\\=\frac{-12}{20}-\frac{75}{20}\\=\frac{-12-75}{20}\\=\frac{-87}{20}\)
7. \(-\left(\frac{9}{10}\right)-\left(\frac{3}{-7}\right)\\= \frac{-9}{10}+\frac{3}{7}\\=\frac{-63}{70}+\frac{30}{70}\\=\frac{-63+30}{70}\\=\frac{-33}{70}\)
8. \(-\left(\frac{2}{11}\right)-\left(\frac{-2}{-9}\right)\\= \frac{-2}{11}-\frac{2}{9}\\=\frac{-18}{99}-\frac{22}{99}\\=\frac{-18-22}{99}\\=\frac{-40}{99}\)
9. \(+\left(\frac{9}{-13}\right)+\left(\frac{-9}{5}\right)\\= \frac{-9}{13}-\frac{9}{5}\\=\frac{-45}{65}-\frac{117}{65}\\=\frac{-45-117}{65}\\=\frac{-162}{65}\)
10. \(+\left(\frac{9}{-7}\right)+\left(\frac{3}{-10}\right)\\= \frac{-9}{7}-\frac{3}{10}\\=\frac{-90}{70}-\frac{21}{70}\\=\frac{-90-21}{70}\\=\frac{-111}{70}\)
11. \(+\left(\frac{12}{13}\right)-\left(\frac{11}{10}\right)\\= \frac{12}{13}-\frac{11}{10}\\=\frac{120}{130}-\frac{143}{130}\\=\frac{120-143}{130}\\=\frac{-23}{130}\)
12. \(-\left(\frac{-11}{-12}\right)+\left(\frac{-7}{2}\right)\\= \frac{-11}{12}-\frac{7}{2}\\=\frac{-11-7}{12}\\=\frac{-18}{12}\\=\frac{-3}{2}\)