Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{3}\right)-\left(\frac{10}{-7}\right)\\= \frac{2}{3}+\frac{10}{7}\\=\frac{14}{21}+\frac{30}{21}\\=\frac{14+30}{21}\\=\frac{44}{21}\)
2. \(+\left(\frac{4}{3}\right)+\left(\frac{-7}{-8}\right)\\= \frac{4}{3}+\frac{7}{8}\\=\frac{32}{24}+\frac{21}{24}\\=\frac{32+21}{24}\\=\frac{53}{24}\)
3. \(-\left(\frac{13}{-9}\right)+\left(\frac{8}{-3}\right)\\= \frac{13}{9}-\frac{8}{3}\\=\frac{13-8}{9}\\=\frac{5}{9}\)
4. \(+\left(\frac{-10}{-3}\right)-\left(\frac{-11}{-14}\right)\\= \frac{10}{3}-\frac{11}{14}\\=\frac{140}{42}-\frac{33}{42}\\=\frac{140-33}{42}\\=\frac{107}{42}\)
5. \(+\left(\frac{8}{3}\right)+\left(\frac{-5}{-2}\right)\\= \frac{8}{3}+\frac{5}{2}\\=\frac{16}{6}+\frac{15}{6}\\=\frac{16+15}{6}\\=\frac{31}{6}\)
6. \(-\left(\frac{15}{-13}\right)-\left(\frac{12}{-5}\right)\\= \frac{15}{13}+\frac{12}{5}\\=\frac{75}{65}+\frac{156}{65}\\=\frac{75+156}{65}\\=\frac{231}{65}\)
7. \(+\left(\frac{3}{-14}\right)-\left(\frac{9}{-11}\right)\\= \frac{-3}{14}+\frac{9}{11}\\=\frac{-33}{154}+\frac{126}{154}\\=\frac{-33+126}{154}\\=\frac{93}{154}\)
8. \(+\left(\frac{-14}{-5}\right)+\left(\frac{14}{-9}\right)\\= \frac{14}{5}-\frac{14}{9}\\=\frac{126}{45}-\frac{70}{45}\\=\frac{126-70}{45}\\=\frac{56}{45}\)
9. \(+\left(\frac{-8}{13}\right)-\left(\frac{7}{3}\right)\\= \frac{-8}{13}-\frac{7}{3}\\=\frac{-24}{39}-\frac{91}{39}\\=\frac{-24-91}{39}\\=\frac{-115}{39}\)
10. \(+\left(\frac{-12}{-7}\right)+\left(\frac{-11}{9}\right)\\= \frac{12}{7}-\frac{11}{9}\\=\frac{108}{63}-\frac{77}{63}\\=\frac{108-77}{63}\\=\frac{31}{63}\)
11. \(-\left(\frac{11}{-3}\right)-\left(\frac{-11}{-12}\right)\\= \frac{11}{3}-\frac{11}{12}\\=\frac{44}{12}-\frac{11}{12}\\=\frac{44-11}{12}\\=\frac{33}{12}\\=\frac{11}{4}\)
12. \(+\left(\frac{-15}{14}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-15}{14}+\frac{6}{11}\\=\frac{-165}{154}+\frac{84}{154}\\=\frac{-165+84}{154}\\=\frac{-81}{154}\)