Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{13}\right)-\left(\frac{-11}{-2}\right)\\= \frac{14}{13}-\frac{11}{2}\\=\frac{28}{26}-\frac{143}{26}\\=\frac{28-143}{26}\\=\frac{-115}{26}\)
2. \(+\left(\frac{13}{2}\right)+\left(\frac{4}{-11}\right)\\= \frac{13}{2}-\frac{4}{11}\\=\frac{143}{22}-\frac{8}{22}\\=\frac{143-8}{22}\\=\frac{135}{22}\)
3. \(-\left(\frac{13}{-5}\right)+\left(\frac{2}{3}\right)\\= \frac{13}{5}+\frac{2}{3}\\=\frac{39}{15}+\frac{10}{15}\\=\frac{39+10}{15}\\=\frac{49}{15}\)
4. \(-\left(\frac{4}{13}\right)-\left(\frac{6}{-5}\right)\\= \frac{-4}{13}+\frac{6}{5}\\=\frac{-20}{65}+\frac{78}{65}\\=\frac{-20+78}{65}\\=\frac{58}{65}\)
5. \(+\left(\frac{8}{7}\right)+\left(\frac{-8}{3}\right)\\= \frac{8}{7}-\frac{8}{3}\\=\frac{24}{21}-\frac{56}{21}\\=\frac{24-56}{21}\\=\frac{-32}{21}\)
6. \(+\left(\frac{-14}{-9}\right)-\left(\frac{-3}{-5}\right)\\= \frac{14}{9}-\frac{3}{5}\\=\frac{70}{45}-\frac{27}{45}\\=\frac{70-27}{45}\\=\frac{43}{45}\)
7. \(-\left(\frac{-2}{3}\right)+\left(\frac{11}{12}\right)\\= \frac{2}{3}+\frac{11}{12}\\=\frac{8}{12}+\frac{11}{12}\\=\frac{8+11}{12}\\=\frac{19}{12}\)
8. \(+\left(\frac{3}{-8}\right)+\left(\frac{13}{-5}\right)\\= \frac{-3}{8}-\frac{13}{5}\\=\frac{-15}{40}-\frac{104}{40}\\=\frac{-15-104}{40}\\=\frac{-119}{40}\)
9. \(+\left(\frac{11}{-9}\right)-\left(\frac{6}{5}\right)\\= \frac{-11}{9}-\frac{6}{5}\\=\frac{-55}{45}-\frac{54}{45}\\=\frac{-55-54}{45}\\=\frac{-109}{45}\)
10. \(-\left(\frac{-11}{-6}\right)+\left(\frac{4}{13}\right)\\= \frac{-11}{6}+\frac{4}{13}\\=\frac{-143}{78}+\frac{24}{78}\\=\frac{-143+24}{78}\\=\frac{-119}{78}\)
11. \(+\left(\frac{-11}{5}\right)-\left(\frac{-14}{-3}\right)\\= \frac{-11}{5}-\frac{14}{3}\\=\frac{-33}{15}-\frac{70}{15}\\=\frac{-33-70}{15}\\=\frac{-103}{15}\)
12. \(-\left(\frac{8}{-5}\right)-\left(\frac{-6}{-5}\right)\\= \frac{8}{5}-\frac{6}{5}\\=\frac{8-6}{5}\\=\frac{2}{5}\)