Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{7}{2}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-7}{2}+\frac{12}{5}\\=\frac{-35}{10}+\frac{24}{10}\\=\frac{-35+24}{10}\\=\frac{-11}{10}\)
2. \(-\left(\frac{7}{-12}\right)+\left(\frac{-5}{-12}\right)\\= \frac{7}{12}+\frac{5}{12}\\=\frac{7+5}{12}\\=\frac{12}{12}\\=\frac{1}{1}\)
3. \(+\left(\frac{10}{3}\right)+\left(\frac{12}{11}\right)\\= \frac{10}{3}+\frac{12}{11}\\=\frac{110}{33}+\frac{36}{33}\\=\frac{110+36}{33}\\=\frac{146}{33}\)
4. \(+\left(\frac{-13}{-5}\right)+\left(\frac{-11}{-12}\right)\\= \frac{13}{5}+\frac{11}{12}\\=\frac{156}{60}+\frac{55}{60}\\=\frac{156+55}{60}\\=\frac{211}{60}\)
5. \(-\left(\frac{2}{-7}\right)+\left(\frac{-2}{-3}\right)\\= \frac{2}{7}+\frac{2}{3}\\=\frac{6}{21}+\frac{14}{21}\\=\frac{6+14}{21}\\=\frac{20}{21}\)
6. \(+\left(\frac{-10}{-13}\right)+\left(\frac{-6}{13}\right)\\= \frac{10}{13}-\frac{6}{13}\\=\frac{10-6}{13}\\=\frac{4}{13}\)
7. \(-\left(\frac{8}{7}\right)+\left(\frac{7}{-12}\right)\\= \frac{-8}{7}-\frac{7}{12}\\=\frac{-96}{84}-\frac{49}{84}\\=\frac{-96-49}{84}\\=\frac{-145}{84}\)
8. \(-\left(\frac{2}{-3}\right)-\left(\frac{-12}{-11}\right)\\= \frac{2}{3}-\frac{12}{11}\\=\frac{22}{33}-\frac{36}{33}\\=\frac{22-36}{33}\\=\frac{-14}{33}\)
9. \(-\left(\frac{11}{-8}\right)-\left(\frac{-12}{-5}\right)\\= \frac{11}{8}-\frac{12}{5}\\=\frac{55}{40}-\frac{96}{40}\\=\frac{55-96}{40}\\=\frac{-41}{40}\)
10. \(-\left(\frac{-11}{6}\right)+\left(\frac{-4}{-9}\right)\\= \frac{11}{6}+\frac{4}{9}\\=\frac{33}{18}+\frac{8}{18}\\=\frac{33+8}{18}\\=\frac{41}{18}\)
11. \(-\left(\frac{-2}{-9}\right)-\left(\frac{6}{-5}\right)\\= \frac{-2}{9}+\frac{6}{5}\\=\frac{-10}{45}+\frac{54}{45}\\=\frac{-10+54}{45}\\=\frac{44}{45}\)
12. \(-\left(\frac{-4}{11}\right)-\left(\frac{-11}{5}\right)\\= \frac{4}{11}+\frac{11}{5}\\=\frac{20}{55}+\frac{121}{55}\\=\frac{20+121}{55}\\=\frac{141}{55}\)