Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{10}{13}\right)+\left(\frac{-2}{11}\right)\\= \frac{-10}{13}-\frac{2}{11}\\=\frac{-110}{143}-\frac{26}{143}\\=\frac{-110-26}{143}\\=\frac{-136}{143}\)
2. \(-\left(\frac{-3}{-10}\right)+\left(\frac{10}{3}\right)\\= \frac{-3}{10}+\frac{10}{3}\\=\frac{-9}{30}+\frac{100}{30}\\=\frac{-9+100}{30}\\=\frac{91}{30}\)
3. \(+\left(\frac{3}{2}\right)+\left(\frac{11}{-2}\right)\\= \frac{3}{2}-\frac{11}{2}\\=\frac{3-11}{2}\\=\frac{-8}{2}\\=\frac{-4}{1}\)
4. \(-\left(\frac{6}{-5}\right)-\left(\frac{6}{5}\right)\\= \frac{6}{5}-\frac{6}{5}\\=\frac{6-6}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
5. \(+\left(\frac{9}{7}\right)+\left(\frac{8}{3}\right)\\= \frac{9}{7}+\frac{8}{3}\\=\frac{27}{21}+\frac{56}{21}\\=\frac{27+56}{21}\\=\frac{83}{21}\)
6. \(+\left(\frac{9}{-4}\right)-\left(\frac{5}{-9}\right)\\= \frac{-9}{4}+\frac{5}{9}\\=\frac{-81}{36}+\frac{20}{36}\\=\frac{-81+20}{36}\\=\frac{-61}{36}\)
7. \(+\left(\frac{-7}{10}\right)-\left(\frac{12}{11}\right)\\= \frac{-7}{10}-\frac{12}{11}\\=\frac{-77}{110}-\frac{120}{110}\\=\frac{-77-120}{110}\\=\frac{-197}{110}\)
8. \(-\left(\frac{-4}{13}\right)-\left(\frac{-12}{13}\right)\\= \frac{4}{13}+\frac{12}{13}\\=\frac{4+12}{13}\\=\frac{16}{13}\)
9. \(+\left(\frac{-4}{-9}\right)-\left(\frac{-9}{2}\right)\\= \frac{4}{9}+\frac{9}{2}\\=\frac{8}{18}+\frac{81}{18}\\=\frac{8+81}{18}\\=\frac{89}{18}\)
10. \(-\left(\frac{14}{-13}\right)-\left(\frac{6}{-5}\right)\\= \frac{14}{13}+\frac{6}{5}\\=\frac{70}{65}+\frac{78}{65}\\=\frac{70+78}{65}\\=\frac{148}{65}\)
11. \(+\left(\frac{-13}{2}\right)-\left(\frac{-15}{13}\right)\\= \frac{-13}{2}+\frac{15}{13}\\=\frac{-169}{26}+\frac{30}{26}\\=\frac{-169+30}{26}\\=\frac{-139}{26}\)
12. \(-\left(\frac{6}{-5}\right)-\left(\frac{11}{2}\right)\\= \frac{6}{5}-\frac{11}{2}\\=\frac{12}{10}-\frac{55}{10}\\=\frac{12-55}{10}\\=\frac{-43}{10}\)