Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{-2}\right)-\left(\frac{-7}{-12}\right)\\= \frac{-7}{2}-\frac{7}{12}\\=\frac{-42}{12}-\frac{7}{12}\\=\frac{-42-7}{12}\\=\frac{-49}{12}\)
2. \(-\left(\frac{-4}{-13}\right)+\left(\frac{6}{-5}\right)\\= \frac{-4}{13}-\frac{6}{5}\\=\frac{-20}{65}-\frac{78}{65}\\=\frac{-20-78}{65}\\=\frac{-98}{65}\)
3. \(+\left(\frac{-6}{-11}\right)-\left(\frac{9}{-11}\right)\\= \frac{6}{11}+\frac{9}{11}\\=\frac{6+9}{11}\\=\frac{15}{11}\)
4. \(+\left(\frac{12}{-13}\right)-\left(\frac{-8}{3}\right)\\= \frac{-12}{13}+\frac{8}{3}\\=\frac{-36}{39}+\frac{104}{39}\\=\frac{-36+104}{39}\\=\frac{68}{39}\)
5. \(+\left(\frac{-8}{5}\right)-\left(\frac{-6}{5}\right)\\= \frac{-8}{5}+\frac{6}{5}\\=\frac{-8+6}{5}\\=\frac{-2}{5}\)
6. \(-\left(\frac{-3}{-7}\right)+\left(\frac{-2}{13}\right)\\= \frac{-3}{7}-\frac{2}{13}\\=\frac{-39}{91}-\frac{14}{91}\\=\frac{-39-14}{91}\\=\frac{-53}{91}\)
7. \(-\left(\frac{-7}{-5}\right)+\left(\frac{-13}{-2}\right)\\= \frac{-7}{5}+\frac{13}{2}\\=\frac{-14}{10}+\frac{65}{10}\\=\frac{-14+65}{10}\\=\frac{51}{10}\)
8. \(+\left(\frac{3}{-10}\right)+\left(\frac{5}{4}\right)\\= \frac{-3}{10}+\frac{5}{4}\\=\frac{-6}{20}+\frac{25}{20}\\=\frac{-6+25}{20}\\=\frac{19}{20}\)
9. \(+\left(\frac{-7}{-3}\right)-\left(\frac{-2}{9}\right)\\= \frac{7}{3}+\frac{2}{9}\\=\frac{21}{9}+\frac{2}{9}\\=\frac{21+2}{9}\\=\frac{23}{9}\)
10. \(-\left(\frac{4}{-9}\right)-\left(\frac{-3}{-2}\right)\\= \frac{4}{9}-\frac{3}{2}\\=\frac{8}{18}-\frac{27}{18}\\=\frac{8-27}{18}\\=\frac{-19}{18}\)
11. \(+\left(\frac{11}{2}\right)+\left(\frac{9}{-11}\right)\\= \frac{11}{2}-\frac{9}{11}\\=\frac{121}{22}-\frac{18}{22}\\=\frac{121-18}{22}\\=\frac{103}{22}\)
12. \(+\left(\frac{-9}{-7}\right)-\left(\frac{7}{2}\right)\\= \frac{9}{7}-\frac{7}{2}\\=\frac{18}{14}-\frac{49}{14}\\=\frac{18-49}{14}\\=\frac{-31}{14}\)