Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{-9}\right)+\left(\frac{5}{-13}\right)\\= \frac{-14}{9}-\frac{5}{13}\\=\frac{-182}{117}-\frac{45}{117}\\=\frac{-182-45}{117}\\=\frac{-227}{117}\)
2. \(-\left(\frac{-11}{-4}\right)-\left(\frac{11}{-2}\right)\\= \frac{-11}{4}+\frac{11}{2}\\=\frac{-11+11}{4}\\=\frac{0}{4}\\=\frac{0}{1}\)
3. \(-\left(\frac{-4}{-3}\right)+\left(\frac{-7}{11}\right)\\= \frac{-4}{3}-\frac{7}{11}\\=\frac{-44}{33}-\frac{21}{33}\\=\frac{-44-21}{33}\\=\frac{-65}{33}\)
4. \(+\left(\frac{5}{2}\right)-\left(\frac{-7}{8}\right)\\= \frac{5}{2}+\frac{7}{8}\\=\frac{20}{8}+\frac{7}{8}\\=\frac{20+7}{8}\\=\frac{27}{8}\)
5. \(-\left(\frac{-10}{7}\right)-\left(\frac{11}{5}\right)\\= \frac{10}{7}-\frac{11}{5}\\=\frac{50}{35}-\frac{77}{35}\\=\frac{50-77}{35}\\=\frac{-27}{35}\)
6. \(+\left(\frac{2}{-7}\right)-\left(\frac{3}{4}\right)\\= \frac{-2}{7}-\frac{3}{4}\\=\frac{-8}{28}-\frac{21}{28}\\=\frac{-8-21}{28}\\=\frac{-29}{28}\)
7. \(-\left(\frac{4}{13}\right)-\left(\frac{-9}{-2}\right)\\= \frac{-4}{13}-\frac{9}{2}\\=\frac{-8}{26}-\frac{117}{26}\\=\frac{-8-117}{26}\\=\frac{-125}{26}\)
8. \(+\left(\frac{13}{14}\right)-\left(\frac{5}{3}\right)\\= \frac{13}{14}-\frac{5}{3}\\=\frac{39}{42}-\frac{70}{42}\\=\frac{39-70}{42}\\=\frac{-31}{42}\)
9. \(+\left(\frac{9}{-5}\right)+\left(\frac{12}{-11}\right)\\= \frac{-9}{5}-\frac{12}{11}\\=\frac{-99}{55}-\frac{60}{55}\\=\frac{-99-60}{55}\\=\frac{-159}{55}\)
10. \(-\left(\frac{-3}{7}\right)+\left(\frac{-10}{-9}\right)\\= \frac{3}{7}+\frac{10}{9}\\=\frac{27}{63}+\frac{70}{63}\\=\frac{27+70}{63}\\=\frac{97}{63}\)
11. \(-\left(\frac{5}{4}\right)+\left(\frac{2}{5}\right)\\= \frac{-5}{4}+\frac{2}{5}\\=\frac{-25}{20}+\frac{8}{20}\\=\frac{-25+8}{20}\\=\frac{-17}{20}\)
12. \(+\left(\frac{11}{14}\right)-\left(\frac{13}{-3}\right)\\= \frac{11}{14}+\frac{13}{3}\\=\frac{33}{42}+\frac{182}{42}\\=\frac{33+182}{42}\\=\frac{215}{42}\)