Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{3}\right)+\left(\frac{-7}{2}\right)\\= \frac{2}{3}-\frac{7}{2}\\=\frac{4}{6}-\frac{21}{6}\\=\frac{4-21}{6}\\=\frac{-17}{6}\)
2. \(+\left(\frac{6}{13}\right)+\left(\frac{15}{4}\right)\\= \frac{6}{13}+\frac{15}{4}\\=\frac{24}{52}+\frac{195}{52}\\=\frac{24+195}{52}\\=\frac{219}{52}\)
3. \(-\left(\frac{7}{-8}\right)+\left(\frac{11}{-2}\right)\\= \frac{7}{8}-\frac{11}{2}\\=\frac{7-11}{8}\\=\frac{-4}{8}\\=\frac{-1}{2}\)
4. \(+\left(\frac{-11}{-7}\right)-\left(\frac{6}{5}\right)\\= \frac{11}{7}-\frac{6}{5}\\=\frac{55}{35}-\frac{42}{35}\\=\frac{55-42}{35}\\=\frac{13}{35}\)
5. \(+\left(\frac{13}{-10}\right)-\left(\frac{-2}{3}\right)\\= \frac{-13}{10}+\frac{2}{3}\\=\frac{-39}{30}+\frac{20}{30}\\=\frac{-39+20}{30}\\=\frac{-19}{30}\)
6. \(+\left(\frac{-15}{7}\right)+\left(\frac{-14}{3}\right)\\= \frac{-15}{7}-\frac{14}{3}\\=\frac{-45}{21}-\frac{98}{21}\\=\frac{-45-98}{21}\\=\frac{-143}{21}\)
7. \(-\left(\frac{-2}{-9}\right)+\left(\frac{-9}{13}\right)\\= \frac{-2}{9}-\frac{9}{13}\\=\frac{-26}{117}-\frac{81}{117}\\=\frac{-26-81}{117}\\=\frac{-107}{117}\)
8. \(+\left(\frac{-6}{-13}\right)-\left(\frac{-2}{3}\right)\\= \frac{6}{13}+\frac{2}{3}\\=\frac{18}{39}+\frac{26}{39}\\=\frac{18+26}{39}\\=\frac{44}{39}\)
9. \(-\left(\frac{6}{11}\right)+\left(\frac{-9}{4}\right)\\= \frac{-6}{11}-\frac{9}{4}\\=\frac{-24}{44}-\frac{99}{44}\\=\frac{-24-99}{44}\\=\frac{-123}{44}\)
10. \(+\left(\frac{-5}{3}\right)-\left(\frac{-14}{3}\right)\\= \frac{-5}{3}+\frac{14}{3}\\=\frac{-5+14}{3}\\=\frac{9}{3}\\=\frac{3}{1}\)
11. \(+\left(\frac{-15}{-2}\right)+\left(\frac{-11}{2}\right)\\= \frac{15}{2}-\frac{11}{2}\\=\frac{15-11}{2}\\=\frac{4}{2}\\=\frac{2}{1}\)
12. \(+\left(\frac{-6}{11}\right)-\left(\frac{5}{-4}\right)\\= \frac{-6}{11}+\frac{5}{4}\\=\frac{-24}{44}+\frac{55}{44}\\=\frac{-24+55}{44}\\=\frac{31}{44}\)