Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{13}\right)-\left(\frac{9}{5}\right)\\= \frac{-12}{13}-\frac{9}{5}\\=\frac{-60}{65}-\frac{117}{65}\\=\frac{-60-117}{65}\\=\frac{-177}{65}\)
2. \(+\left(\frac{-15}{13}\right)+\left(\frac{-11}{-5}\right)\\= \frac{-15}{13}+\frac{11}{5}\\=\frac{-75}{65}+\frac{143}{65}\\=\frac{-75+143}{65}\\=\frac{68}{65}\)
3. \(-\left(\frac{-11}{-12}\right)-\left(\frac{10}{11}\right)\\= \frac{-11}{12}-\frac{10}{11}\\=\frac{-121}{132}-\frac{120}{132}\\=\frac{-121-120}{132}\\=\frac{-241}{132}\)
4. \(+\left(\frac{-11}{13}\right)+\left(\frac{14}{-5}\right)\\= \frac{-11}{13}-\frac{14}{5}\\=\frac{-55}{65}-\frac{182}{65}\\=\frac{-55-182}{65}\\=\frac{-237}{65}\)
5. \(+\left(\frac{6}{-11}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-6}{11}-\frac{12}{5}\\=\frac{-30}{55}-\frac{132}{55}\\=\frac{-30-132}{55}\\=\frac{-162}{55}\)
6. \(+\left(\frac{8}{-13}\right)+\left(\frac{7}{-4}\right)\\= \frac{-8}{13}-\frac{7}{4}\\=\frac{-32}{52}-\frac{91}{52}\\=\frac{-32-91}{52}\\=\frac{-123}{52}\)
7. \(+\left(\frac{13}{7}\right)+\left(\frac{14}{-11}\right)\\= \frac{13}{7}-\frac{14}{11}\\=\frac{143}{77}-\frac{98}{77}\\=\frac{143-98}{77}\\=\frac{45}{77}\)
8. \(+\left(\frac{-11}{-13}\right)+\left(\frac{15}{-2}\right)\\= \frac{11}{13}-\frac{15}{2}\\=\frac{22}{26}-\frac{195}{26}\\=\frac{22-195}{26}\\=\frac{-173}{26}\)
9. \(-\left(\frac{-10}{-3}\right)+\left(\frac{6}{-7}\right)\\= \frac{-10}{3}-\frac{6}{7}\\=\frac{-70}{21}-\frac{18}{21}\\=\frac{-70-18}{21}\\=\frac{-88}{21}\)
10. \(+\left(\frac{12}{5}\right)+\left(\frac{14}{5}\right)\\= \frac{12}{5}+\frac{14}{5}\\=\frac{12+14}{5}\\=\frac{26}{5}\)
11. \(+\left(\frac{-12}{-11}\right)+\left(\frac{14}{9}\right)\\= \frac{12}{11}+\frac{14}{9}\\=\frac{108}{99}+\frac{154}{99}\\=\frac{108+154}{99}\\=\frac{262}{99}\)
12. \(-\left(\frac{3}{-8}\right)+\left(\frac{-4}{-3}\right)\\= \frac{3}{8}+\frac{4}{3}\\=\frac{9}{24}+\frac{32}{24}\\=\frac{9+32}{24}\\=\frac{41}{24}\)