Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{5}\right)-\left(\frac{-5}{8}\right)\\= \frac{11}{5}+\frac{5}{8}\\=\frac{88}{40}+\frac{25}{40}\\=\frac{88+25}{40}\\=\frac{113}{40}\)
2. \(+\left(\frac{-11}{5}\right)+\left(\frac{6}{7}\right)\\= \frac{-11}{5}+\frac{6}{7}\\=\frac{-77}{35}+\frac{30}{35}\\=\frac{-77+30}{35}\\=\frac{-47}{35}\)
3. \(-\left(\frac{4}{-9}\right)+\left(\frac{13}{11}\right)\\= \frac{4}{9}+\frac{13}{11}\\=\frac{44}{99}+\frac{117}{99}\\=\frac{44+117}{99}\\=\frac{161}{99}\)
4. \(-\left(\frac{-2}{-3}\right)-\left(\frac{15}{11}\right)\\= \frac{-2}{3}-\frac{15}{11}\\=\frac{-22}{33}-\frac{45}{33}\\=\frac{-22-45}{33}\\=\frac{-67}{33}\)
5. \(-\left(\frac{-14}{-11}\right)+\left(\frac{13}{-2}\right)\\= \frac{-14}{11}-\frac{13}{2}\\=\frac{-28}{22}-\frac{143}{22}\\=\frac{-28-143}{22}\\=\frac{-171}{22}\)
6. \(-\left(\frac{-9}{13}\right)-\left(\frac{7}{13}\right)\\= \frac{9}{13}-\frac{7}{13}\\=\frac{9-7}{13}\\=\frac{2}{13}\)
7. \(+\left(\frac{-8}{-3}\right)+\left(\frac{-15}{14}\right)\\= \frac{8}{3}-\frac{15}{14}\\=\frac{112}{42}-\frac{45}{42}\\=\frac{112-45}{42}\\=\frac{67}{42}\)
8. \(+\left(\frac{2}{-3}\right)-\left(\frac{-9}{7}\right)\\= \frac{-2}{3}+\frac{9}{7}\\=\frac{-14}{21}+\frac{27}{21}\\=\frac{-14+27}{21}\\=\frac{13}{21}\)
9. \(+\left(\frac{-12}{5}\right)-\left(\frac{-4}{7}\right)\\= \frac{-12}{5}+\frac{4}{7}\\=\frac{-84}{35}+\frac{20}{35}\\=\frac{-84+20}{35}\\=\frac{-64}{35}\)
10. \(+\left(\frac{7}{2}\right)+\left(\frac{-13}{2}\right)\\= \frac{7}{2}-\frac{13}{2}\\=\frac{7-13}{2}\\=\frac{-6}{2}\\=\frac{-3}{1}\)
11. \(-\left(\frac{8}{-9}\right)-\left(\frac{-7}{-3}\right)\\= \frac{8}{9}-\frac{7}{3}\\=\frac{8-7}{9}\\=\frac{1}{9}\)
12. \(-\left(\frac{-14}{-3}\right)-\left(\frac{15}{-11}\right)\\= \frac{-14}{3}+\frac{15}{11}\\=\frac{-154}{33}+\frac{45}{33}\\=\frac{-154+45}{33}\\=\frac{-109}{33}\)