Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{11}\right)-\left(\frac{-13}{14}\right)\\= \frac{-15}{11}+\frac{13}{14}\\=\frac{-210}{154}+\frac{143}{154}\\=\frac{-210+143}{154}\\=\frac{-67}{154}\)
2. \(-\left(\frac{-13}{12}\right)-\left(\frac{5}{-11}\right)\\= \frac{13}{12}+\frac{5}{11}\\=\frac{143}{132}+\frac{60}{132}\\=\frac{143+60}{132}\\=\frac{203}{132}\)
3. \(-\left(\frac{-14}{3}\right)+\left(\frac{5}{-6}\right)\\= \frac{14}{3}-\frac{5}{6}\\=\frac{28}{6}-\frac{5}{6}\\=\frac{28-5}{6}\\=\frac{23}{6}\)
4. \(-\left(\frac{-5}{7}\right)+\left(\frac{-10}{-7}\right)\\= \frac{5}{7}+\frac{10}{7}\\=\frac{5+10}{7}\\=\frac{15}{7}\)
5. \(+\left(\frac{-7}{12}\right)-\left(\frac{2}{13}\right)\\= \frac{-7}{12}-\frac{2}{13}\\=\frac{-91}{156}-\frac{24}{156}\\=\frac{-91-24}{156}\\=\frac{-115}{156}\)
6. \(+\left(\frac{10}{-13}\right)-\left(\frac{7}{-12}\right)\\= \frac{-10}{13}+\frac{7}{12}\\=\frac{-120}{156}+\frac{91}{156}\\=\frac{-120+91}{156}\\=\frac{-29}{156}\)
7. \(-\left(\frac{9}{-7}\right)+\left(\frac{4}{-9}\right)\\= \frac{9}{7}-\frac{4}{9}\\=\frac{81}{63}-\frac{28}{63}\\=\frac{81-28}{63}\\=\frac{53}{63}\)
8. \(+\left(\frac{14}{-3}\right)+\left(\frac{-6}{-13}\right)\\= \frac{-14}{3}+\frac{6}{13}\\=\frac{-182}{39}+\frac{18}{39}\\=\frac{-182+18}{39}\\=\frac{-164}{39}\)
9. \(-\left(\frac{-10}{3}\right)+\left(\frac{12}{-5}\right)\\= \frac{10}{3}-\frac{12}{5}\\=\frac{50}{15}-\frac{36}{15}\\=\frac{50-36}{15}\\=\frac{14}{15}\)
10. \(-\left(\frac{12}{-5}\right)-\left(\frac{12}{11}\right)\\= \frac{12}{5}-\frac{12}{11}\\=\frac{132}{55}-\frac{60}{55}\\=\frac{132-60}{55}\\=\frac{72}{55}\)
11. \(-\left(\frac{-9}{-13}\right)-\left(\frac{10}{-9}\right)\\= \frac{-9}{13}+\frac{10}{9}\\=\frac{-81}{117}+\frac{130}{117}\\=\frac{-81+130}{117}\\=\frac{49}{117}\)
12. \(+\left(\frac{-14}{11}\right)-\left(\frac{13}{4}\right)\\= \frac{-14}{11}-\frac{13}{4}\\=\frac{-56}{44}-\frac{143}{44}\\=\frac{-56-143}{44}\\=\frac{-199}{44}\)