Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-8}\right)-\left(\frac{-13}{-8}\right)\\= \frac{3}{8}-\frac{13}{8}\\=\frac{3-13}{8}\\=\frac{-10}{8}\\=\frac{-5}{4}\)
2. \(+\left(\frac{3}{11}\right)+\left(\frac{10}{13}\right)\\= \frac{3}{11}+\frac{10}{13}\\=\frac{39}{143}+\frac{110}{143}\\=\frac{39+110}{143}\\=\frac{149}{143}\)
3. \(-\left(\frac{-4}{-3}\right)-\left(\frac{6}{-11}\right)\\= \frac{-4}{3}+\frac{6}{11}\\=\frac{-44}{33}+\frac{18}{33}\\=\frac{-44+18}{33}\\=\frac{-26}{33}\)
4. \(-\left(\frac{-10}{13}\right)+\left(\frac{-2}{11}\right)\\= \frac{10}{13}-\frac{2}{11}\\=\frac{110}{143}-\frac{26}{143}\\=\frac{110-26}{143}\\=\frac{84}{143}\)
5. \(+\left(\frac{-13}{-10}\right)+\left(\frac{5}{6}\right)\\= \frac{13}{10}+\frac{5}{6}\\=\frac{39}{30}+\frac{25}{30}\\=\frac{39+25}{30}\\=\frac{64}{30}\\=\frac{32}{15}\)
6. \(-\left(\frac{2}{5}\right)-\left(\frac{-15}{-13}\right)\\= \frac{-2}{5}-\frac{15}{13}\\=\frac{-26}{65}-\frac{75}{65}\\=\frac{-26-75}{65}\\=\frac{-101}{65}\)
7. \(-\left(\frac{-7}{11}\right)-\left(\frac{12}{-11}\right)\\= \frac{7}{11}+\frac{12}{11}\\=\frac{7+12}{11}\\=\frac{19}{11}\)
8. \(-\left(\frac{-12}{-13}\right)+\left(\frac{-2}{-7}\right)\\= \frac{-12}{13}+\frac{2}{7}\\=\frac{-84}{91}+\frac{26}{91}\\=\frac{-84+26}{91}\\=\frac{-58}{91}\)
9. \(-\left(\frac{9}{7}\right)+\left(\frac{-10}{-7}\right)\\= \frac{-9}{7}+\frac{10}{7}\\=\frac{-9+10}{7}\\=\frac{1}{7}\)
10. \(+\left(\frac{-3}{7}\right)-\left(\frac{-11}{-8}\right)\\= \frac{-3}{7}-\frac{11}{8}\\=\frac{-24}{56}-\frac{77}{56}\\=\frac{-24-77}{56}\\=\frac{-101}{56}\)
11. \(+\left(\frac{-4}{-11}\right)+\left(\frac{8}{9}\right)\\= \frac{4}{11}+\frac{8}{9}\\=\frac{36}{99}+\frac{88}{99}\\=\frac{36+88}{99}\\=\frac{124}{99}\)
12. \(-\left(\frac{-8}{-3}\right)+\left(\frac{5}{-6}\right)\\= \frac{-8}{3}-\frac{5}{6}\\=\frac{-16}{6}-\frac{5}{6}\\=\frac{-16-5}{6}\\=\frac{-21}{6}\\=\frac{-7}{2}\)