Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{14}\right)+\left(\frac{15}{-2}\right)\\= \frac{-13}{14}-\frac{15}{2}\\=\frac{-13-15}{14}\\=\frac{-28}{14}\\=\frac{-2}{1}\)
2. \(-\left(\frac{12}{7}\right)+\left(\frac{-4}{-9}\right)\\= \frac{-12}{7}+\frac{4}{9}\\=\frac{-108}{63}+\frac{28}{63}\\=\frac{-108+28}{63}\\=\frac{-80}{63}\)
3. \(-\left(\frac{3}{4}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-3}{4}+\frac{15}{11}\\=\frac{-33}{44}+\frac{60}{44}\\=\frac{-33+60}{44}\\=\frac{27}{44}\)
4. \(-\left(\frac{5}{14}\right)-\left(\frac{-15}{2}\right)\\= \frac{-5}{14}+\frac{15}{2}\\=\frac{-5+15}{14}\\=\frac{10}{14}\\=\frac{5}{7}\)
5. \(+\left(\frac{2}{5}\right)-\left(\frac{7}{-11}\right)\\= \frac{2}{5}+\frac{7}{11}\\=\frac{22}{55}+\frac{35}{55}\\=\frac{22+35}{55}\\=\frac{57}{55}\)
6. \(+\left(\frac{4}{3}\right)-\left(\frac{3}{7}\right)\\= \frac{4}{3}-\frac{3}{7}\\=\frac{28}{21}-\frac{9}{21}\\=\frac{28-9}{21}\\=\frac{19}{21}\)
7. \(-\left(\frac{-15}{-4}\right)+\left(\frac{8}{-3}\right)\\= \frac{-15}{4}-\frac{8}{3}\\=\frac{-45}{12}-\frac{32}{12}\\=\frac{-45-32}{12}\\=\frac{-77}{12}\)
8. \(+\left(\frac{-9}{13}\right)-\left(\frac{-9}{2}\right)\\= \frac{-9}{13}+\frac{9}{2}\\=\frac{-18}{26}+\frac{117}{26}\\=\frac{-18+117}{26}\\=\frac{99}{26}\)
9. \(+\left(\frac{-9}{13}\right)+\left(\frac{8}{-5}\right)\\= \frac{-9}{13}-\frac{8}{5}\\=\frac{-45}{65}-\frac{104}{65}\\=\frac{-45-104}{65}\\=\frac{-149}{65}\)
10. \(-\left(\frac{5}{11}\right)-\left(\frac{-5}{-2}\right)\\= \frac{-5}{11}-\frac{5}{2}\\=\frac{-10}{22}-\frac{55}{22}\\=\frac{-10-55}{22}\\=\frac{-65}{22}\)
11. \(-\left(\frac{-14}{9}\right)-\left(\frac{-4}{3}\right)\\= \frac{14}{9}+\frac{4}{3}\\=\frac{14+4}{9}\\=\frac{18}{9}\\=\frac{2}{1}\)
12. \(-\left(\frac{14}{9}\right)+\left(\frac{12}{7}\right)\\= \frac{-14}{9}+\frac{12}{7}\\=\frac{-98}{63}+\frac{108}{63}\\=\frac{-98+108}{63}\\=\frac{10}{63}\)