Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{14}{-9}\right)-\left(\frac{9}{-5}\right)\\= \frac{14}{9}+\frac{9}{5}\\=\frac{70}{45}+\frac{81}{45}\\=\frac{70+81}{45}\\=\frac{151}{45}\)
2. \(+\left(\frac{14}{11}\right)+\left(\frac{2}{-9}\right)\\= \frac{14}{11}-\frac{2}{9}\\=\frac{126}{99}-\frac{22}{99}\\=\frac{126-22}{99}\\=\frac{104}{99}\)
3. \(+\left(\frac{6}{5}\right)+\left(\frac{10}{3}\right)\\= \frac{6}{5}+\frac{10}{3}\\=\frac{18}{15}+\frac{50}{15}\\=\frac{18+50}{15}\\=\frac{68}{15}\)
4. \(+\left(\frac{6}{5}\right)+\left(\frac{-2}{-13}\right)\\= \frac{6}{5}+\frac{2}{13}\\=\frac{78}{65}+\frac{10}{65}\\=\frac{78+10}{65}\\=\frac{88}{65}\)
5. \(-\left(\frac{13}{-14}\right)+\left(\frac{-10}{3}\right)\\= \frac{13}{14}-\frac{10}{3}\\=\frac{39}{42}-\frac{140}{42}\\=\frac{39-140}{42}\\=\frac{-101}{42}\)
6. \(-\left(\frac{6}{11}\right)-\left(\frac{9}{-2}\right)\\= \frac{-6}{11}+\frac{9}{2}\\=\frac{-12}{22}+\frac{99}{22}\\=\frac{-12+99}{22}\\=\frac{87}{22}\)
7. \(-\left(\frac{-14}{-5}\right)+\left(\frac{14}{-13}\right)\\= \frac{-14}{5}-\frac{14}{13}\\=\frac{-182}{65}-\frac{70}{65}\\=\frac{-182-70}{65}\\=\frac{-252}{65}\)
8. \(+\left(\frac{-8}{-11}\right)+\left(\frac{5}{11}\right)\\= \frac{8}{11}+\frac{5}{11}\\=\frac{8+5}{11}\\=\frac{13}{11}\)
9. \(+\left(\frac{9}{13}\right)-\left(\frac{7}{2}\right)\\= \frac{9}{13}-\frac{7}{2}\\=\frac{18}{26}-\frac{91}{26}\\=\frac{18-91}{26}\\=\frac{-73}{26}\)
10. \(-\left(\frac{13}{-7}\right)-\left(\frac{3}{-7}\right)\\= \frac{13}{7}+\frac{3}{7}\\=\frac{13+3}{7}\\=\frac{16}{7}\)
11. \(-\left(\frac{3}{7}\right)-\left(\frac{12}{11}\right)\\= \frac{-3}{7}-\frac{12}{11}\\=\frac{-33}{77}-\frac{84}{77}\\=\frac{-33-84}{77}\\=\frac{-117}{77}\)
12. \(+\left(\frac{-13}{-11}\right)-\left(\frac{4}{-3}\right)\\= \frac{13}{11}+\frac{4}{3}\\=\frac{39}{33}+\frac{44}{33}\\=\frac{39+44}{33}\\=\frac{83}{33}\)