Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{5}\right)-\left(\frac{15}{11}\right)\\= \frac{-7}{5}-\frac{15}{11}\\=\frac{-77}{55}-\frac{75}{55}\\=\frac{-77-75}{55}\\=\frac{-152}{55}\)
2. \(-\left(\frac{2}{-9}\right)-\left(\frac{14}{-9}\right)\\= \frac{2}{9}+\frac{14}{9}\\=\frac{2+14}{9}\\=\frac{16}{9}\)
3. \(-\left(\frac{-9}{7}\right)+\left(\frac{3}{5}\right)\\= \frac{9}{7}+\frac{3}{5}\\=\frac{45}{35}+\frac{21}{35}\\=\frac{45+21}{35}\\=\frac{66}{35}\)
4. \(+\left(\frac{-9}{-13}\right)+\left(\frac{12}{-11}\right)\\= \frac{9}{13}-\frac{12}{11}\\=\frac{99}{143}-\frac{156}{143}\\=\frac{99-156}{143}\\=\frac{-57}{143}\)
5. \(+\left(\frac{3}{7}\right)-\left(\frac{-6}{-5}\right)\\= \frac{3}{7}-\frac{6}{5}\\=\frac{15}{35}-\frac{42}{35}\\=\frac{15-42}{35}\\=\frac{-27}{35}\)
6. \(+\left(\frac{8}{7}\right)-\left(\frac{3}{-13}\right)\\= \frac{8}{7}+\frac{3}{13}\\=\frac{104}{91}+\frac{21}{91}\\=\frac{104+21}{91}\\=\frac{125}{91}\)
7. \(+\left(\frac{-12}{13}\right)+\left(\frac{-7}{6}\right)\\= \frac{-12}{13}-\frac{7}{6}\\=\frac{-72}{78}-\frac{91}{78}\\=\frac{-72-91}{78}\\=\frac{-163}{78}\)
8. \(+\left(\frac{-8}{3}\right)-\left(\frac{-9}{13}\right)\\= \frac{-8}{3}+\frac{9}{13}\\=\frac{-104}{39}+\frac{27}{39}\\=\frac{-104+27}{39}\\=\frac{-77}{39}\)
9. \(+\left(\frac{3}{13}\right)+\left(\frac{-5}{6}\right)\\= \frac{3}{13}-\frac{5}{6}\\=\frac{18}{78}-\frac{65}{78}\\=\frac{18-65}{78}\\=\frac{-47}{78}\)
10. \(-\left(\frac{-11}{5}\right)-\left(\frac{-5}{-2}\right)\\= \frac{11}{5}-\frac{5}{2}\\=\frac{22}{10}-\frac{25}{10}\\=\frac{22-25}{10}\\=\frac{-3}{10}\)
11. \(-\left(\frac{-13}{3}\right)+\left(\frac{-13}{-3}\right)\\= \frac{13}{3}+\frac{13}{3}\\=\frac{13+13}{3}\\=\frac{26}{3}\)
12. \(-\left(\frac{15}{7}\right)-\left(\frac{-14}{13}\right)\\= \frac{-15}{7}+\frac{14}{13}\\=\frac{-195}{91}+\frac{98}{91}\\=\frac{-195+98}{91}\\=\frac{-97}{91}\)