Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-3}\right)+\left(\frac{4}{9}\right)\\= \frac{2}{3}+\frac{4}{9}\\=\frac{6}{9}+\frac{4}{9}\\=\frac{6+4}{9}\\=\frac{10}{9}\)
2. \(+\left(\frac{15}{-11}\right)+\left(\frac{-9}{-10}\right)\\= \frac{-15}{11}+\frac{9}{10}\\=\frac{-150}{110}+\frac{99}{110}\\=\frac{-150+99}{110}\\=\frac{-51}{110}\)
3. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-14}{9}\right)\\= \frac{2}{3}+\frac{14}{9}\\=\frac{6}{9}+\frac{14}{9}\\=\frac{6+14}{9}\\=\frac{20}{9}\)
4. \(+\left(\frac{-13}{2}\right)-\left(\frac{-9}{-7}\right)\\= \frac{-13}{2}-\frac{9}{7}\\=\frac{-91}{14}-\frac{18}{14}\\=\frac{-91-18}{14}\\=\frac{-109}{14}\)
5. \(+\left(\frac{-12}{-11}\right)+\left(\frac{9}{2}\right)\\= \frac{12}{11}+\frac{9}{2}\\=\frac{24}{22}+\frac{99}{22}\\=\frac{24+99}{22}\\=\frac{123}{22}\)
6. \(+\left(\frac{2}{5}\right)-\left(\frac{2}{13}\right)\\= \frac{2}{5}-\frac{2}{13}\\=\frac{26}{65}-\frac{10}{65}\\=\frac{26-10}{65}\\=\frac{16}{65}\)
7. \(-\left(\frac{-15}{-7}\right)-\left(\frac{-5}{3}\right)\\= \frac{-15}{7}+\frac{5}{3}\\=\frac{-45}{21}+\frac{35}{21}\\=\frac{-45+35}{21}\\=\frac{-10}{21}\)
8. \(-\left(\frac{5}{11}\right)+\left(\frac{8}{-7}\right)\\= \frac{-5}{11}-\frac{8}{7}\\=\frac{-35}{77}-\frac{88}{77}\\=\frac{-35-88}{77}\\=\frac{-123}{77}\)
9. \(+\left(\frac{-4}{13}\right)+\left(\frac{4}{5}\right)\\= \frac{-4}{13}+\frac{4}{5}\\=\frac{-20}{65}+\frac{52}{65}\\=\frac{-20+52}{65}\\=\frac{32}{65}\)
10. \(+\left(\frac{-3}{8}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-3}{8}-\frac{10}{3}\\=\frac{-9}{24}-\frac{80}{24}\\=\frac{-9-80}{24}\\=\frac{-89}{24}\)
11. \(+\left(\frac{-7}{5}\right)+\left(\frac{7}{-2}\right)\\= \frac{-7}{5}-\frac{7}{2}\\=\frac{-14}{10}-\frac{35}{10}\\=\frac{-14-35}{10}\\=\frac{-49}{10}\)
12. \(+\left(\frac{-9}{14}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-9}{14}-\frac{13}{2}\\=\frac{-9-13}{14}\\=\frac{-22}{14}\\=\frac{-11}{7}\)