Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{4}\right)-\left(\frac{7}{-9}\right)\\= \frac{-9}{4}+\frac{7}{9}\\=\frac{-81}{36}+\frac{28}{36}\\=\frac{-81+28}{36}\\=\frac{-53}{36}\)
2. \(-\left(\frac{9}{-2}\right)-\left(\frac{2}{11}\right)\\= \frac{9}{2}-\frac{2}{11}\\=\frac{99}{22}-\frac{4}{22}\\=\frac{99-4}{22}\\=\frac{95}{22}\)
3. \(-\left(\frac{-3}{4}\right)-\left(\frac{-10}{7}\right)\\= \frac{3}{4}+\frac{10}{7}\\=\frac{21}{28}+\frac{40}{28}\\=\frac{21+40}{28}\\=\frac{61}{28}\)
4. \(+\left(\frac{-9}{8}\right)-\left(\frac{5}{-6}\right)\\= \frac{-9}{8}+\frac{5}{6}\\=\frac{-27}{24}+\frac{20}{24}\\=\frac{-27+20}{24}\\=\frac{-7}{24}\)
5. \(+\left(\frac{15}{-11}\right)+\left(\frac{-14}{-5}\right)\\= \frac{-15}{11}+\frac{14}{5}\\=\frac{-75}{55}+\frac{154}{55}\\=\frac{-75+154}{55}\\=\frac{79}{55}\)
6. \(+\left(\frac{-8}{5}\right)-\left(\frac{4}{11}\right)\\= \frac{-8}{5}-\frac{4}{11}\\=\frac{-88}{55}-\frac{20}{55}\\=\frac{-88-20}{55}\\=\frac{-108}{55}\)
7. \(+\left(\frac{6}{-5}\right)+\left(\frac{4}{-13}\right)\\= \frac{-6}{5}-\frac{4}{13}\\=\frac{-78}{65}-\frac{20}{65}\\=\frac{-78-20}{65}\\=\frac{-98}{65}\)
8. \(-\left(\frac{-2}{-11}\right)-\left(\frac{-8}{-3}\right)\\= \frac{-2}{11}-\frac{8}{3}\\=\frac{-6}{33}-\frac{88}{33}\\=\frac{-6-88}{33}\\=\frac{-94}{33}\)
9. \(-\left(\frac{2}{9}\right)+\left(\frac{6}{-5}\right)\\= \frac{-2}{9}-\frac{6}{5}\\=\frac{-10}{45}-\frac{54}{45}\\=\frac{-10-54}{45}\\=\frac{-64}{45}\)
10. \(-\left(\frac{4}{-9}\right)+\left(\frac{3}{2}\right)\\= \frac{4}{9}+\frac{3}{2}\\=\frac{8}{18}+\frac{27}{18}\\=\frac{8+27}{18}\\=\frac{35}{18}\)
11. \(+\left(\frac{-11}{8}\right)+\left(\frac{10}{-9}\right)\\= \frac{-11}{8}-\frac{10}{9}\\=\frac{-99}{72}-\frac{80}{72}\\=\frac{-99-80}{72}\\=\frac{-179}{72}\)
12. \(-\left(\frac{-2}{-3}\right)+\left(\frac{-14}{9}\right)\\= \frac{-2}{3}-\frac{14}{9}\\=\frac{-6}{9}-\frac{14}{9}\\=\frac{-6-14}{9}\\=\frac{-20}{9}\)