Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{7}\right)+\left(\frac{15}{14}\right)\\= \frac{-12}{7}+\frac{15}{14}\\=\frac{-24}{14}+\frac{15}{14}\\=\frac{-24+15}{14}\\=\frac{-9}{14}\)
2. \(-\left(\frac{-12}{-5}\right)-\left(\frac{-9}{-10}\right)\\= \frac{-12}{5}-\frac{9}{10}\\=\frac{-24}{10}-\frac{9}{10}\\=\frac{-24-9}{10}\\=\frac{-33}{10}\)
3. \(-\left(\frac{-2}{3}\right)+\left(\frac{-4}{-3}\right)\\= \frac{2}{3}+\frac{4}{3}\\=\frac{2+4}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
4. \(-\left(\frac{15}{-2}\right)+\left(\frac{-2}{-3}\right)\\= \frac{15}{2}+\frac{2}{3}\\=\frac{45}{6}+\frac{4}{6}\\=\frac{45+4}{6}\\=\frac{49}{6}\)
5. \(+\left(\frac{-9}{14}\right)+\left(\frac{14}{3}\right)\\= \frac{-9}{14}+\frac{14}{3}\\=\frac{-27}{42}+\frac{196}{42}\\=\frac{-27+196}{42}\\=\frac{169}{42}\)
6. \(+\left(\frac{-8}{13}\right)-\left(\frac{-7}{8}\right)\\= \frac{-8}{13}+\frac{7}{8}\\=\frac{-64}{104}+\frac{91}{104}\\=\frac{-64+91}{104}\\=\frac{27}{104}\)
7. \(+\left(\frac{3}{-7}\right)-\left(\frac{-8}{7}\right)\\= \frac{-3}{7}+\frac{8}{7}\\=\frac{-3+8}{7}\\=\frac{5}{7}\)
8. \(+\left(\frac{-8}{11}\right)-\left(\frac{-10}{9}\right)\\= \frac{-8}{11}+\frac{10}{9}\\=\frac{-72}{99}+\frac{110}{99}\\=\frac{-72+110}{99}\\=\frac{38}{99}\)
9. \(-\left(\frac{-5}{-8}\right)-\left(\frac{9}{-14}\right)\\= \frac{-5}{8}+\frac{9}{14}\\=\frac{-35}{56}+\frac{36}{56}\\=\frac{-35+36}{56}\\=\frac{1}{56}\)
10. \(+\left(\frac{3}{8}\right)-\left(\frac{-8}{-3}\right)\\= \frac{3}{8}-\frac{8}{3}\\=\frac{9}{24}-\frac{64}{24}\\=\frac{9-64}{24}\\=\frac{-55}{24}\)
11. \(+\left(\frac{-9}{7}\right)-\left(\frac{-5}{14}\right)\\= \frac{-9}{7}+\frac{5}{14}\\=\frac{-18}{14}+\frac{5}{14}\\=\frac{-18+5}{14}\\=\frac{-13}{14}\)
12. \(-\left(\frac{12}{-13}\right)+\left(\frac{-15}{-2}\right)\\= \frac{12}{13}+\frac{15}{2}\\=\frac{24}{26}+\frac{195}{26}\\=\frac{24+195}{26}\\=\frac{219}{26}\)