Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{7}{-4}\right)-\left(\frac{-5}{7}\right)\\= \frac{-7}{4}+\frac{5}{7}\\=\frac{-49}{28}+\frac{20}{28}\\=\frac{-49+20}{28}\\=\frac{-29}{28}\)
2. \(-\left(\frac{12}{-5}\right)-\left(\frac{-6}{-5}\right)\\= \frac{12}{5}-\frac{6}{5}\\=\frac{12-6}{5}\\=\frac{6}{5}\)
3. \(-\left(\frac{11}{-3}\right)+\left(\frac{10}{-7}\right)\\= \frac{11}{3}-\frac{10}{7}\\=\frac{77}{21}-\frac{30}{21}\\=\frac{77-30}{21}\\=\frac{47}{21}\)
4. \(-\left(\frac{-11}{9}\right)+\left(\frac{4}{-5}\right)\\= \frac{11}{9}-\frac{4}{5}\\=\frac{55}{45}-\frac{36}{45}\\=\frac{55-36}{45}\\=\frac{19}{45}\)
5. \(-\left(\frac{8}{11}\right)+\left(\frac{8}{-11}\right)\\= \frac{-8}{11}-\frac{8}{11}\\=\frac{-8-8}{11}\\=\frac{-16}{11}\)
6. \(-\left(\frac{-3}{-13}\right)-\left(\frac{-3}{-13}\right)\\= \frac{-3}{13}-\frac{3}{13}\\=\frac{-3-3}{13}\\=\frac{-6}{13}\)
7. \(+\left(\frac{-8}{5}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-8}{5}-\frac{14}{9}\\=\frac{-72}{45}-\frac{70}{45}\\=\frac{-72-70}{45}\\=\frac{-142}{45}\)
8. \(-\left(\frac{-5}{-8}\right)-\left(\frac{-15}{2}\right)\\= \frac{-5}{8}+\frac{15}{2}\\=\frac{-5+15}{8}\\=\frac{10}{8}\\=\frac{5}{4}\)
9. \(-\left(\frac{11}{-13}\right)-\left(\frac{12}{-13}\right)\\= \frac{11}{13}+\frac{12}{13}\\=\frac{11+12}{13}\\=\frac{23}{13}\)
10. \(-\left(\frac{12}{5}\right)+\left(\frac{10}{7}\right)\\= \frac{-12}{5}+\frac{10}{7}\\=\frac{-84}{35}+\frac{50}{35}\\=\frac{-84+50}{35}\\=\frac{-34}{35}\)
11. \(-\left(\frac{8}{-9}\right)-\left(\frac{-8}{-11}\right)\\= \frac{8}{9}-\frac{8}{11}\\=\frac{88}{99}-\frac{72}{99}\\=\frac{88-72}{99}\\=\frac{16}{99}\)
12. \(-\left(\frac{-2}{-7}\right)+\left(\frac{15}{7}\right)\\= \frac{-2}{7}+\frac{15}{7}\\=\frac{-2+15}{7}\\=\frac{13}{7}\)