Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{-5}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-12}{5}-\frac{5}{6}\\=\frac{-72}{30}-\frac{25}{30}\\=\frac{-72-25}{30}\\=\frac{-97}{30}\)
2. \(+\left(\frac{10}{3}\right)-\left(\frac{-8}{7}\right)\\= \frac{10}{3}+\frac{8}{7}\\=\frac{70}{21}+\frac{24}{21}\\=\frac{70+24}{21}\\=\frac{94}{21}\)
3. \(-\left(\frac{-2}{-9}\right)+\left(\frac{13}{6}\right)\\= \frac{-2}{9}+\frac{13}{6}\\=\frac{-4}{18}+\frac{39}{18}\\=\frac{-4+39}{18}\\=\frac{35}{18}\)
4. \(+\left(\frac{-5}{-11}\right)-\left(\frac{8}{3}\right)\\= \frac{5}{11}-\frac{8}{3}\\=\frac{15}{33}-\frac{88}{33}\\=\frac{15-88}{33}\\=\frac{-73}{33}\)
5. \(+\left(\frac{-5}{4}\right)+\left(\frac{-7}{6}\right)\\= \frac{-5}{4}-\frac{7}{6}\\=\frac{-15}{12}-\frac{14}{12}\\=\frac{-15-14}{12}\\=\frac{-29}{12}\)
6. \(-\left(\frac{-8}{-11}\right)-\left(\frac{15}{14}\right)\\= \frac{-8}{11}-\frac{15}{14}\\=\frac{-112}{154}-\frac{165}{154}\\=\frac{-112-165}{154}\\=\frac{-277}{154}\)
7. \(+\left(\frac{7}{8}\right)-\left(\frac{12}{7}\right)\\= \frac{7}{8}-\frac{12}{7}\\=\frac{49}{56}-\frac{96}{56}\\=\frac{49-96}{56}\\=\frac{-47}{56}\)
8. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-6}{-13}\right)\\= \frac{14}{3}+\frac{6}{13}\\=\frac{182}{39}+\frac{18}{39}\\=\frac{182+18}{39}\\=\frac{200}{39}\)
9. \(+\left(\frac{5}{-6}\right)-\left(\frac{8}{-3}\right)\\= \frac{-5}{6}+\frac{8}{3}\\=\frac{-5+8}{6}\\=\frac{3}{6}\\=\frac{1}{2}\)
10. \(+\left(\frac{14}{5}\right)+\left(\frac{-6}{11}\right)\\= \frac{14}{5}-\frac{6}{11}\\=\frac{154}{55}-\frac{30}{55}\\=\frac{154-30}{55}\\=\frac{124}{55}\)
11. \(+\left(\frac{7}{-4}\right)-\left(\frac{-2}{7}\right)\\= \frac{-7}{4}+\frac{2}{7}\\=\frac{-49}{28}+\frac{8}{28}\\=\frac{-49+8}{28}\\=\frac{-41}{28}\)
12. \(-\left(\frac{-6}{-5}\right)+\left(\frac{13}{9}\right)\\= \frac{-6}{5}+\frac{13}{9}\\=\frac{-54}{45}+\frac{65}{45}\\=\frac{-54+65}{45}\\=\frac{11}{45}\)