Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{2}{13}\right)-\left(\frac{-10}{-11}\right)\\= \frac{2}{13}-\frac{10}{11}\\=\frac{22}{143}-\frac{130}{143}\\=\frac{22-130}{143}\\=\frac{-108}{143}\)
2. \(-\left(\frac{-3}{2}\right)-\left(\frac{-11}{-8}\right)\\= \frac{3}{2}-\frac{11}{8}\\=\frac{12}{8}-\frac{11}{8}\\=\frac{12-11}{8}\\=\frac{1}{8}\)
3. \(-\left(\frac{-4}{3}\right)+\left(\frac{10}{13}\right)\\= \frac{4}{3}+\frac{10}{13}\\=\frac{52}{39}+\frac{30}{39}\\=\frac{52+30}{39}\\=\frac{82}{39}\)
4. \(+\left(\frac{2}{3}\right)-\left(\frac{-14}{13}\right)\\= \frac{2}{3}+\frac{14}{13}\\=\frac{26}{39}+\frac{42}{39}\\=\frac{26+42}{39}\\=\frac{68}{39}\)
5. \(-\left(\frac{10}{13}\right)-\left(\frac{12}{-5}\right)\\= \frac{-10}{13}+\frac{12}{5}\\=\frac{-50}{65}+\frac{156}{65}\\=\frac{-50+156}{65}\\=\frac{106}{65}\)
6. \(-\left(\frac{3}{-4}\right)-\left(\frac{9}{7}\right)\\= \frac{3}{4}-\frac{9}{7}\\=\frac{21}{28}-\frac{36}{28}\\=\frac{21-36}{28}\\=\frac{-15}{28}\)
7. \(-\left(\frac{5}{-4}\right)-\left(\frac{14}{13}\right)\\= \frac{5}{4}-\frac{14}{13}\\=\frac{65}{52}-\frac{56}{52}\\=\frac{65-56}{52}\\=\frac{9}{52}\)
8. \(-\left(\frac{8}{-9}\right)+\left(\frac{8}{11}\right)\\= \frac{8}{9}+\frac{8}{11}\\=\frac{88}{99}+\frac{72}{99}\\=\frac{88+72}{99}\\=\frac{160}{99}\)
9. \(+\left(\frac{-14}{-5}\right)+\left(\frac{10}{-7}\right)\\= \frac{14}{5}-\frac{10}{7}\\=\frac{98}{35}-\frac{50}{35}\\=\frac{98-50}{35}\\=\frac{48}{35}\)
10. \(+\left(\frac{-14}{-5}\right)-\left(\frac{4}{-7}\right)\\= \frac{14}{5}+\frac{4}{7}\\=\frac{98}{35}+\frac{20}{35}\\=\frac{98+20}{35}\\=\frac{118}{35}\)
11. \(+\left(\frac{-3}{-4}\right)+\left(\frac{8}{-5}\right)\\= \frac{3}{4}-\frac{8}{5}\\=\frac{15}{20}-\frac{32}{20}\\=\frac{15-32}{20}\\=\frac{-17}{20}\)
12. \(+\left(\frac{6}{13}\right)-\left(\frac{9}{13}\right)\\= \frac{6}{13}-\frac{9}{13}\\=\frac{6-9}{13}\\=\frac{-3}{13}\)