Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{7}{-2}\right)+\left(\frac{-12}{13}\right)\\= \frac{7}{2}-\frac{12}{13}\\=\frac{91}{26}-\frac{24}{26}\\=\frac{91-24}{26}\\=\frac{67}{26}\)
2. \(+\left(\frac{-9}{-7}\right)+\left(\frac{-7}{10}\right)\\= \frac{9}{7}-\frac{7}{10}\\=\frac{90}{70}-\frac{49}{70}\\=\frac{90-49}{70}\\=\frac{41}{70}\)
3. \(-\left(\frac{12}{11}\right)-\left(\frac{15}{8}\right)\\= \frac{-12}{11}-\frac{15}{8}\\=\frac{-96}{88}-\frac{165}{88}\\=\frac{-96-165}{88}\\=\frac{-261}{88}\)
4. \(-\left(\frac{-5}{14}\right)+\left(\frac{10}{11}\right)\\= \frac{5}{14}+\frac{10}{11}\\=\frac{55}{154}+\frac{140}{154}\\=\frac{55+140}{154}\\=\frac{195}{154}\)
5. \(+\left(\frac{-9}{7}\right)-\left(\frac{-14}{-13}\right)\\= \frac{-9}{7}-\frac{14}{13}\\=\frac{-117}{91}-\frac{98}{91}\\=\frac{-117-98}{91}\\=\frac{-215}{91}\)
6. \(-\left(\frac{-2}{-11}\right)+\left(\frac{8}{-3}\right)\\= \frac{-2}{11}-\frac{8}{3}\\=\frac{-6}{33}-\frac{88}{33}\\=\frac{-6-88}{33}\\=\frac{-94}{33}\)
7. \(+\left(\frac{-15}{-4}\right)+\left(\frac{13}{14}\right)\\= \frac{15}{4}+\frac{13}{14}\\=\frac{105}{28}+\frac{26}{28}\\=\frac{105+26}{28}\\=\frac{131}{28}\)
8. \(-\left(\frac{-12}{11}\right)-\left(\frac{14}{-3}\right)\\= \frac{12}{11}+\frac{14}{3}\\=\frac{36}{33}+\frac{154}{33}\\=\frac{36+154}{33}\\=\frac{190}{33}\)
9. \(+\left(\frac{-12}{-11}\right)+\left(\frac{-9}{2}\right)\\= \frac{12}{11}-\frac{9}{2}\\=\frac{24}{22}-\frac{99}{22}\\=\frac{24-99}{22}\\=\frac{-75}{22}\)
10. \(+\left(\frac{10}{13}\right)-\left(\frac{6}{-5}\right)\\= \frac{10}{13}+\frac{6}{5}\\=\frac{50}{65}+\frac{78}{65}\\=\frac{50+78}{65}\\=\frac{128}{65}\)
11. \(-\left(\frac{-9}{2}\right)+\left(\frac{-4}{13}\right)\\= \frac{9}{2}-\frac{4}{13}\\=\frac{117}{26}-\frac{8}{26}\\=\frac{117-8}{26}\\=\frac{109}{26}\)
12. \(-\left(\frac{10}{-13}\right)-\left(\frac{2}{-13}\right)\\= \frac{10}{13}+\frac{2}{13}\\=\frac{10+2}{13}\\=\frac{12}{13}\)