Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{-9}\right)-\left(\frac{5}{6}\right)\\= \frac{2}{9}-\frac{5}{6}\\=\frac{4}{18}-\frac{15}{18}\\=\frac{4-15}{18}\\=\frac{-11}{18}\)
2. \(+\left(\frac{-8}{-11}\right)+\left(\frac{7}{-6}\right)\\= \frac{8}{11}-\frac{7}{6}\\=\frac{48}{66}-\frac{77}{66}\\=\frac{48-77}{66}\\=\frac{-29}{66}\)
3. \(+\left(\frac{15}{-2}\right)-\left(\frac{4}{-5}\right)\\= \frac{-15}{2}+\frac{4}{5}\\=\frac{-75}{10}+\frac{8}{10}\\=\frac{-75+8}{10}\\=\frac{-67}{10}\)
4. \(+\left(\frac{7}{-11}\right)+\left(\frac{-9}{-2}\right)\\= \frac{-7}{11}+\frac{9}{2}\\=\frac{-14}{22}+\frac{99}{22}\\=\frac{-14+99}{22}\\=\frac{85}{22}\)
5. \(+\left(\frac{-2}{5}\right)+\left(\frac{6}{7}\right)\\= \frac{-2}{5}+\frac{6}{7}\\=\frac{-14}{35}+\frac{30}{35}\\=\frac{-14+30}{35}\\=\frac{16}{35}\)
6. \(-\left(\frac{5}{2}\right)+\left(\frac{12}{-13}\right)\\= \frac{-5}{2}-\frac{12}{13}\\=\frac{-65}{26}-\frac{24}{26}\\=\frac{-65-24}{26}\\=\frac{-89}{26}\)
7. \(+\left(\frac{15}{-11}\right)-\left(\frac{-11}{-7}\right)\\= \frac{-15}{11}-\frac{11}{7}\\=\frac{-105}{77}-\frac{121}{77}\\=\frac{-105-121}{77}\\=\frac{-226}{77}\)
8. \(-\left(\frac{-2}{5}\right)+\left(\frac{-3}{13}\right)\\= \frac{2}{5}-\frac{3}{13}\\=\frac{26}{65}-\frac{15}{65}\\=\frac{26-15}{65}\\=\frac{11}{65}\)
9. \(-\left(\frac{2}{-3}\right)-\left(\frac{-14}{13}\right)\\= \frac{2}{3}+\frac{14}{13}\\=\frac{26}{39}+\frac{42}{39}\\=\frac{26+42}{39}\\=\frac{68}{39}\)
10. \(-\left(\frac{13}{9}\right)+\left(\frac{2}{3}\right)\\= \frac{-13}{9}+\frac{2}{3}\\=\frac{-13+2}{9}\\=\frac{-11}{9}\)
11. \(+\left(\frac{8}{7}\right)-\left(\frac{14}{-13}\right)\\= \frac{8}{7}+\frac{14}{13}\\=\frac{104}{91}+\frac{98}{91}\\=\frac{104+98}{91}\\=\frac{202}{91}\)
12. \(+\left(\frac{4}{-3}\right)+\left(\frac{12}{-7}\right)\\= \frac{-4}{3}-\frac{12}{7}\\=\frac{-28}{21}-\frac{36}{21}\\=\frac{-28-36}{21}\\=\frac{-64}{21}\)