Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{9}\right)+\left(\frac{-6}{-5}\right)\\= \frac{13}{9}+\frac{6}{5}\\=\frac{65}{45}+\frac{54}{45}\\=\frac{65+54}{45}\\=\frac{119}{45}\)
2. \(-\left(\frac{-5}{-7}\right)-\left(\frac{5}{13}\right)\\= \frac{-5}{7}-\frac{5}{13}\\=\frac{-65}{91}-\frac{35}{91}\\=\frac{-65-35}{91}\\=\frac{-100}{91}\)
3. \(+\left(\frac{11}{-9}\right)-\left(\frac{15}{13}\right)\\= \frac{-11}{9}-\frac{15}{13}\\=\frac{-143}{117}-\frac{135}{117}\\=\frac{-143-135}{117}\\=\frac{-278}{117}\)
4. \(+\left(\frac{-3}{13}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-3}{13}+\frac{13}{14}\\=\frac{-42}{182}+\frac{169}{182}\\=\frac{-42+169}{182}\\=\frac{127}{182}\)
5. \(+\left(\frac{-5}{2}\right)-\left(\frac{5}{3}\right)\\= \frac{-5}{2}-\frac{5}{3}\\=\frac{-15}{6}-\frac{10}{6}\\=\frac{-15-10}{6}\\=\frac{-25}{6}\)
6. \(+\left(\frac{-8}{3}\right)-\left(\frac{-14}{9}\right)\\= \frac{-8}{3}+\frac{14}{9}\\=\frac{-24}{9}+\frac{14}{9}\\=\frac{-24+14}{9}\\=\frac{-10}{9}\)
7. \(-\left(\frac{4}{-9}\right)-\left(\frac{15}{-13}\right)\\= \frac{4}{9}+\frac{15}{13}\\=\frac{52}{117}+\frac{135}{117}\\=\frac{52+135}{117}\\=\frac{187}{117}\)
8. \(+\left(\frac{-3}{-2}\right)-\left(\frac{10}{13}\right)\\= \frac{3}{2}-\frac{10}{13}\\=\frac{39}{26}-\frac{20}{26}\\=\frac{39-20}{26}\\=\frac{19}{26}\)
9. \(+\left(\frac{-9}{-5}\right)-\left(\frac{13}{2}\right)\\= \frac{9}{5}-\frac{13}{2}\\=\frac{18}{10}-\frac{65}{10}\\=\frac{18-65}{10}\\=\frac{-47}{10}\)
10. \(-\left(\frac{2}{7}\right)-\left(\frac{2}{9}\right)\\= \frac{-2}{7}-\frac{2}{9}\\=\frac{-18}{63}-\frac{14}{63}\\=\frac{-18-14}{63}\\=\frac{-32}{63}\)
11. \(-\left(\frac{-14}{-3}\right)+\left(\frac{3}{14}\right)\\= \frac{-14}{3}+\frac{3}{14}\\=\frac{-196}{42}+\frac{9}{42}\\=\frac{-196+9}{42}\\=\frac{-187}{42}\)
12. \(-\left(\frac{-3}{7}\right)+\left(\frac{12}{7}\right)\\= \frac{3}{7}+\frac{12}{7}\\=\frac{3+12}{7}\\=\frac{15}{7}\)