Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{11}\right)+\left(\frac{-5}{-6}\right)\\= \frac{8}{11}+\frac{5}{6}\\=\frac{48}{66}+\frac{55}{66}\\=\frac{48+55}{66}\\=\frac{103}{66}\)
2. \(-\left(\frac{8}{3}\right)+\left(\frac{9}{-4}\right)\\= \frac{-8}{3}-\frac{9}{4}\\=\frac{-32}{12}-\frac{27}{12}\\=\frac{-32-27}{12}\\=\frac{-59}{12}\)
3. \(+\left(\frac{-14}{9}\right)+\left(\frac{8}{7}\right)\\= \frac{-14}{9}+\frac{8}{7}\\=\frac{-98}{63}+\frac{72}{63}\\=\frac{-98+72}{63}\\=\frac{-26}{63}\)
4. \(+\left(\frac{-2}{5}\right)-\left(\frac{12}{-5}\right)\\= \frac{-2}{5}+\frac{12}{5}\\=\frac{-2+12}{5}\\=\frac{10}{5}\\=\frac{2}{1}\)
5. \(-\left(\frac{-12}{11}\right)-\left(\frac{2}{-5}\right)\\= \frac{12}{11}+\frac{2}{5}\\=\frac{60}{55}+\frac{22}{55}\\=\frac{60+22}{55}\\=\frac{82}{55}\)
6. \(-\left(\frac{-5}{7}\right)+\left(\frac{10}{11}\right)\\= \frac{5}{7}+\frac{10}{11}\\=\frac{55}{77}+\frac{70}{77}\\=\frac{55+70}{77}\\=\frac{125}{77}\)
7. \(+\left(\frac{8}{3}\right)-\left(\frac{-8}{3}\right)\\= \frac{8}{3}+\frac{8}{3}\\=\frac{8+8}{3}\\=\frac{16}{3}\)
8. \(+\left(\frac{12}{5}\right)+\left(\frac{15}{-7}\right)\\= \frac{12}{5}-\frac{15}{7}\\=\frac{84}{35}-\frac{75}{35}\\=\frac{84-75}{35}\\=\frac{9}{35}\)
9. \(+\left(\frac{-5}{-6}\right)-\left(\frac{3}{-13}\right)\\= \frac{5}{6}+\frac{3}{13}\\=\frac{65}{78}+\frac{18}{78}\\=\frac{65+18}{78}\\=\frac{83}{78}\)
10. \(-\left(\frac{-9}{-2}\right)+\left(\frac{3}{-13}\right)\\= \frac{-9}{2}-\frac{3}{13}\\=\frac{-117}{26}-\frac{6}{26}\\=\frac{-117-6}{26}\\=\frac{-123}{26}\)
11. \(-\left(\frac{-5}{-11}\right)-\left(\frac{13}{7}\right)\\= \frac{-5}{11}-\frac{13}{7}\\=\frac{-35}{77}-\frac{143}{77}\\=\frac{-35-143}{77}\\=\frac{-178}{77}\)
12. \(-\left(\frac{9}{-4}\right)+\left(\frac{-9}{13}\right)\\= \frac{9}{4}-\frac{9}{13}\\=\frac{117}{52}-\frac{36}{52}\\=\frac{117-36}{52}\\=\frac{81}{52}\)