Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{9}{8}\right)-\left(\frac{7}{-8}\right)\\= \frac{9}{8}+\frac{7}{8}\\=\frac{9+7}{8}\\=\frac{16}{8}\\=\frac{2}{1}\)
2. \(-\left(\frac{11}{12}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-11}{12}-\frac{12}{5}\\=\frac{-55}{60}-\frac{144}{60}\\=\frac{-55-144}{60}\\=\frac{-199}{60}\)
3. \(+\left(\frac{-11}{-3}\right)+\left(\frac{-5}{2}\right)\\= \frac{11}{3}-\frac{5}{2}\\=\frac{22}{6}-\frac{15}{6}\\=\frac{22-15}{6}\\=\frac{7}{6}\)
4. \(+\left(\frac{-3}{-10}\right)-\left(\frac{-11}{14}\right)\\= \frac{3}{10}+\frac{11}{14}\\=\frac{21}{70}+\frac{55}{70}\\=\frac{21+55}{70}\\=\frac{76}{70}\\=\frac{38}{35}\)
5. \(-\left(\frac{14}{5}\right)-\left(\frac{14}{11}\right)\\= \frac{-14}{5}-\frac{14}{11}\\=\frac{-154}{55}-\frac{70}{55}\\=\frac{-154-70}{55}\\=\frac{-224}{55}\)
6. \(-\left(\frac{-7}{9}\right)-\left(\frac{-7}{-10}\right)\\= \frac{7}{9}-\frac{7}{10}\\=\frac{70}{90}-\frac{63}{90}\\=\frac{70-63}{90}\\=\frac{7}{90}\)
7. \(+\left(\frac{-6}{5}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-6}{5}-\frac{12}{5}\\=\frac{-6-12}{5}\\=\frac{-18}{5}\)
8. \(-\left(\frac{-12}{-13}\right)-\left(\frac{12}{5}\right)\\= \frac{-12}{13}-\frac{12}{5}\\=\frac{-60}{65}-\frac{156}{65}\\=\frac{-60-156}{65}\\=\frac{-216}{65}\)
9. \(+\left(\frac{3}{5}\right)+\left(\frac{-13}{14}\right)\\= \frac{3}{5}-\frac{13}{14}\\=\frac{42}{70}-\frac{65}{70}\\=\frac{42-65}{70}\\=\frac{-23}{70}\)
10. \(+\left(\frac{5}{7}\right)+\left(\frac{-8}{-9}\right)\\= \frac{5}{7}+\frac{8}{9}\\=\frac{45}{63}+\frac{56}{63}\\=\frac{45+56}{63}\\=\frac{101}{63}\)
11. \(-\left(\frac{14}{-13}\right)+\left(\frac{3}{-5}\right)\\= \frac{14}{13}-\frac{3}{5}\\=\frac{70}{65}-\frac{39}{65}\\=\frac{70-39}{65}\\=\frac{31}{65}\)
12. \(-\left(\frac{6}{5}\right)-\left(\frac{2}{7}\right)\\= \frac{-6}{5}-\frac{2}{7}\\=\frac{-42}{35}-\frac{10}{35}\\=\frac{-42-10}{35}\\=\frac{-52}{35}\)