Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-2}\right)-\left(\frac{15}{-2}\right)\\= \frac{-3}{2}+\frac{15}{2}\\=\frac{-3+15}{2}\\=\frac{12}{2}\\=\frac{6}{1}\)
2. \(-\left(\frac{-14}{5}\right)-\left(\frac{8}{-5}\right)\\= \frac{14}{5}+\frac{8}{5}\\=\frac{14+8}{5}\\=\frac{22}{5}\)
3. \(+\left(\frac{3}{13}\right)-\left(\frac{8}{-5}\right)\\= \frac{3}{13}+\frac{8}{5}\\=\frac{15}{65}+\frac{104}{65}\\=\frac{15+104}{65}\\=\frac{119}{65}\)
4. \(-\left(\frac{-2}{-11}\right)+\left(\frac{3}{13}\right)\\= \frac{-2}{11}+\frac{3}{13}\\=\frac{-26}{143}+\frac{33}{143}\\=\frac{-26+33}{143}\\=\frac{7}{143}\)
5. \(-\left(\frac{12}{-11}\right)-\left(\frac{14}{11}\right)\\= \frac{12}{11}-\frac{14}{11}\\=\frac{12-14}{11}\\=\frac{-2}{11}\)
6. \(+\left(\frac{7}{-2}\right)+\left(\frac{-14}{11}\right)\\= \frac{-7}{2}-\frac{14}{11}\\=\frac{-77}{22}-\frac{28}{22}\\=\frac{-77-28}{22}\\=\frac{-105}{22}\)
7. \(+\left(\frac{4}{7}\right)-\left(\frac{-5}{-4}\right)\\= \frac{4}{7}-\frac{5}{4}\\=\frac{16}{28}-\frac{35}{28}\\=\frac{16-35}{28}\\=\frac{-19}{28}\)
8. \(-\left(\frac{5}{7}\right)-\left(\frac{-8}{-9}\right)\\= \frac{-5}{7}-\frac{8}{9}\\=\frac{-45}{63}-\frac{56}{63}\\=\frac{-45-56}{63}\\=\frac{-101}{63}\)
9. \(-\left(\frac{10}{3}\right)+\left(\frac{-2}{9}\right)\\= \frac{-10}{3}-\frac{2}{9}\\=\frac{-30}{9}-\frac{2}{9}\\=\frac{-30-2}{9}\\=\frac{-32}{9}\)
10. \(-\left(\frac{-7}{12}\right)-\left(\frac{14}{3}\right)\\= \frac{7}{12}-\frac{14}{3}\\=\frac{7-14}{12}\\=\frac{-7}{12}\)
11. \(+\left(\frac{-14}{-3}\right)+\left(\frac{10}{7}\right)\\= \frac{14}{3}+\frac{10}{7}\\=\frac{98}{21}+\frac{30}{21}\\=\frac{98+30}{21}\\=\frac{128}{21}\)
12. \(+\left(\frac{6}{13}\right)-\left(\frac{-8}{5}\right)\\= \frac{6}{13}+\frac{8}{5}\\=\frac{30}{65}+\frac{104}{65}\\=\frac{30+104}{65}\\=\frac{134}{65}\)