Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{5}\right)-\left(\frac{10}{-7}\right)\\= \frac{11}{5}+\frac{10}{7}\\=\frac{77}{35}+\frac{50}{35}\\=\frac{77+50}{35}\\=\frac{127}{35}\)
2. \(+\left(\frac{-14}{3}\right)+\left(\frac{-15}{-13}\right)\\= \frac{-14}{3}+\frac{15}{13}\\=\frac{-182}{39}+\frac{45}{39}\\=\frac{-182+45}{39}\\=\frac{-137}{39}\)
3. \(-\left(\frac{-10}{-9}\right)-\left(\frac{9}{2}\right)\\= \frac{-10}{9}-\frac{9}{2}\\=\frac{-20}{18}-\frac{81}{18}\\=\frac{-20-81}{18}\\=\frac{-101}{18}\)
4. \(+\left(\frac{-8}{3}\right)+\left(\frac{-3}{5}\right)\\= \frac{-8}{3}-\frac{3}{5}\\=\frac{-40}{15}-\frac{9}{15}\\=\frac{-40-9}{15}\\=\frac{-49}{15}\)
5. \(+\left(\frac{-4}{3}\right)-\left(\frac{6}{5}\right)\\= \frac{-4}{3}-\frac{6}{5}\\=\frac{-20}{15}-\frac{18}{15}\\=\frac{-20-18}{15}\\=\frac{-38}{15}\)
6. \(+\left(\frac{-13}{8}\right)+\left(\frac{3}{14}\right)\\= \frac{-13}{8}+\frac{3}{14}\\=\frac{-91}{56}+\frac{12}{56}\\=\frac{-91+12}{56}\\=\frac{-79}{56}\)
7. \(-\left(\frac{-2}{-3}\right)+\left(\frac{-7}{-12}\right)\\= \frac{-2}{3}+\frac{7}{12}\\=\frac{-8}{12}+\frac{7}{12}\\=\frac{-8+7}{12}\\=\frac{-1}{12}\)
8. \(+\left(\frac{8}{-3}\right)-\left(\frac{-6}{7}\right)\\= \frac{-8}{3}+\frac{6}{7}\\=\frac{-56}{21}+\frac{18}{21}\\=\frac{-56+18}{21}\\=\frac{-38}{21}\)
9. \(+\left(\frac{9}{2}\right)-\left(\frac{11}{9}\right)\\= \frac{9}{2}-\frac{11}{9}\\=\frac{81}{18}-\frac{22}{18}\\=\frac{81-22}{18}\\=\frac{59}{18}\)
10. \(+\left(\frac{-4}{-13}\right)+\left(\frac{13}{12}\right)\\= \frac{4}{13}+\frac{13}{12}\\=\frac{48}{156}+\frac{169}{156}\\=\frac{48+169}{156}\\=\frac{217}{156}\)
11. \(-\left(\frac{7}{8}\right)+\left(\frac{5}{-7}\right)\\= \frac{-7}{8}-\frac{5}{7}\\=\frac{-49}{56}-\frac{40}{56}\\=\frac{-49-40}{56}\\=\frac{-89}{56}\)
12. \(-\left(\frac{15}{-13}\right)+\left(\frac{13}{-2}\right)\\= \frac{15}{13}-\frac{13}{2}\\=\frac{30}{26}-\frac{169}{26}\\=\frac{30-169}{26}\\=\frac{-139}{26}\)