Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{14}{-5}\right)+\left(\frac{5}{14}\right)\\= \frac{-14}{5}+\frac{5}{14}\\=\frac{-196}{70}+\frac{25}{70}\\=\frac{-196+25}{70}\\=\frac{-171}{70}\)
2. \(-\left(\frac{-13}{11}\right)+\left(\frac{4}{13}\right)\\= \frac{13}{11}+\frac{4}{13}\\=\frac{169}{143}+\frac{44}{143}\\=\frac{169+44}{143}\\=\frac{213}{143}\)
3. \(+\left(\frac{-3}{-10}\right)-\left(\frac{4}{11}\right)\\= \frac{3}{10}-\frac{4}{11}\\=\frac{33}{110}-\frac{40}{110}\\=\frac{33-40}{110}\\=\frac{-7}{110}\)
4. \(-\left(\frac{8}{-13}\right)+\left(\frac{-15}{-11}\right)\\= \frac{8}{13}+\frac{15}{11}\\=\frac{88}{143}+\frac{195}{143}\\=\frac{88+195}{143}\\=\frac{283}{143}\)
5. \(+\left(\frac{3}{10}\right)-\left(\frac{5}{2}\right)\\= \frac{3}{10}-\frac{5}{2}\\=\frac{3-5}{10}\\=\frac{-2}{10}\\=\frac{-1}{5}\)
6. \(-\left(\frac{-5}{-6}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-5}{6}+\frac{6}{11}\\=\frac{-55}{66}+\frac{36}{66}\\=\frac{-55+36}{66}\\=\frac{-19}{66}\)
7. \(+\left(\frac{9}{10}\right)-\left(\frac{-5}{-8}\right)\\= \frac{9}{10}-\frac{5}{8}\\=\frac{36}{40}-\frac{25}{40}\\=\frac{36-25}{40}\\=\frac{11}{40}\)
8. \(+\left(\frac{-9}{-14}\right)-\left(\frac{5}{9}\right)\\= \frac{9}{14}-\frac{5}{9}\\=\frac{81}{126}-\frac{70}{126}\\=\frac{81-70}{126}\\=\frac{11}{126}\)
9. \(-\left(\frac{6}{5}\right)-\left(\frac{-8}{-13}\right)\\= \frac{-6}{5}-\frac{8}{13}\\=\frac{-78}{65}-\frac{40}{65}\\=\frac{-78-40}{65}\\=\frac{-118}{65}\)
10. \(+\left(\frac{-15}{7}\right)+\left(\frac{2}{13}\right)\\= \frac{-15}{7}+\frac{2}{13}\\=\frac{-195}{91}+\frac{14}{91}\\=\frac{-195+14}{91}\\=\frac{-181}{91}\)
11. \(-\left(\frac{13}{2}\right)+\left(\frac{2}{9}\right)\\= \frac{-13}{2}+\frac{2}{9}\\=\frac{-117}{18}+\frac{4}{18}\\=\frac{-117+4}{18}\\=\frac{-113}{18}\)
12. \(+\left(\frac{-13}{8}\right)+\left(\frac{-4}{-13}\right)\\= \frac{-13}{8}+\frac{4}{13}\\=\frac{-169}{104}+\frac{32}{104}\\=\frac{-169+32}{104}\\=\frac{-137}{104}\)