Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{-4}\right)+\left(\frac{-3}{-14}\right)\\= \frac{5}{4}+\frac{3}{14}\\=\frac{35}{28}+\frac{6}{28}\\=\frac{35+6}{28}\\=\frac{41}{28}\)
2. \(-\left(\frac{11}{-4}\right)-\left(\frac{-3}{-4}\right)\\= \frac{11}{4}-\frac{3}{4}\\=\frac{11-3}{4}\\=\frac{8}{4}\\=\frac{2}{1}\)
3. \(+\left(\frac{-13}{-7}\right)+\left(\frac{15}{-7}\right)\\= \frac{13}{7}-\frac{15}{7}\\=\frac{13-15}{7}\\=\frac{-2}{7}\)
4. \(-\left(\frac{-4}{11}\right)+\left(\frac{5}{11}\right)\\= \frac{4}{11}+\frac{5}{11}\\=\frac{4+5}{11}\\=\frac{9}{11}\)
5. \(+\left(\frac{-14}{5}\right)+\left(\frac{-4}{11}\right)\\= \frac{-14}{5}-\frac{4}{11}\\=\frac{-154}{55}-\frac{20}{55}\\=\frac{-154-20}{55}\\=\frac{-174}{55}\)
6. \(+\left(\frac{11}{-9}\right)-\left(\frac{-6}{-13}\right)\\= \frac{-11}{9}-\frac{6}{13}\\=\frac{-143}{117}-\frac{54}{117}\\=\frac{-143-54}{117}\\=\frac{-197}{117}\)
7. \(-\left(\frac{2}{9}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-2}{9}-\frac{6}{11}\\=\frac{-22}{99}-\frac{54}{99}\\=\frac{-22-54}{99}\\=\frac{-76}{99}\)
8. \(-\left(\frac{12}{-5}\right)+\left(\frac{-14}{13}\right)\\= \frac{12}{5}-\frac{14}{13}\\=\frac{156}{65}-\frac{70}{65}\\=\frac{156-70}{65}\\=\frac{86}{65}\)
9. \(+\left(\frac{-2}{-13}\right)+\left(\frac{9}{4}\right)\\= \frac{2}{13}+\frac{9}{4}\\=\frac{8}{52}+\frac{117}{52}\\=\frac{8+117}{52}\\=\frac{125}{52}\)
10. \(-\left(\frac{-7}{-8}\right)-\left(\frac{3}{13}\right)\\= \frac{-7}{8}-\frac{3}{13}\\=\frac{-91}{104}-\frac{24}{104}\\=\frac{-91-24}{104}\\=\frac{-115}{104}\)
11. \(+\left(\frac{-14}{-9}\right)-\left(\frac{-15}{-7}\right)\\= \frac{14}{9}-\frac{15}{7}\\=\frac{98}{63}-\frac{135}{63}\\=\frac{98-135}{63}\\=\frac{-37}{63}\)
12. \(-\left(\frac{-11}{2}\right)-\left(\frac{4}{13}\right)\\= \frac{11}{2}-\frac{4}{13}\\=\frac{143}{26}-\frac{8}{26}\\=\frac{143-8}{26}\\=\frac{135}{26}\)