Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{14}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-9}{14}+\frac{14}{9}\\=\frac{-81}{126}+\frac{196}{126}\\=\frac{-81+196}{126}\\=\frac{115}{126}\)
2. \(-\left(\frac{-13}{-6}\right)-\left(\frac{-12}{11}\right)\\= \frac{-13}{6}+\frac{12}{11}\\=\frac{-143}{66}+\frac{72}{66}\\=\frac{-143+72}{66}\\=\frac{-71}{66}\)
3. \(+\left(\frac{-10}{7}\right)+\left(\frac{-3}{-13}\right)\\= \frac{-10}{7}+\frac{3}{13}\\=\frac{-130}{91}+\frac{21}{91}\\=\frac{-130+21}{91}\\=\frac{-109}{91}\)
4. \(-\left(\frac{5}{-4}\right)+\left(\frac{10}{-13}\right)\\= \frac{5}{4}-\frac{10}{13}\\=\frac{65}{52}-\frac{40}{52}\\=\frac{65-40}{52}\\=\frac{25}{52}\)
5. \(+\left(\frac{-9}{13}\right)-\left(\frac{14}{-13}\right)\\= \frac{-9}{13}+\frac{14}{13}\\=\frac{-9+14}{13}\\=\frac{5}{13}\)
6. \(-\left(\frac{-4}{3}\right)+\left(\frac{7}{-12}\right)\\= \frac{4}{3}-\frac{7}{12}\\=\frac{16}{12}-\frac{7}{12}\\=\frac{16-7}{12}\\=\frac{9}{12}\\=\frac{3}{4}\)
7. \(+\left(\frac{-3}{-13}\right)+\left(\frac{-5}{7}\right)\\= \frac{3}{13}-\frac{5}{7}\\=\frac{21}{91}-\frac{65}{91}\\=\frac{21-65}{91}\\=\frac{-44}{91}\)
8. \(-\left(\frac{-9}{8}\right)-\left(\frac{3}{-10}\right)\\= \frac{9}{8}+\frac{3}{10}\\=\frac{45}{40}+\frac{12}{40}\\=\frac{45+12}{40}\\=\frac{57}{40}\)
9. \(-\left(\frac{12}{-7}\right)+\left(\frac{7}{-2}\right)\\= \frac{12}{7}-\frac{7}{2}\\=\frac{24}{14}-\frac{49}{14}\\=\frac{24-49}{14}\\=\frac{-25}{14}\)
10. \(-\left(\frac{-6}{-11}\right)+\left(\frac{5}{2}\right)\\= \frac{-6}{11}+\frac{5}{2}\\=\frac{-12}{22}+\frac{55}{22}\\=\frac{-12+55}{22}\\=\frac{43}{22}\)
11. \(-\left(\frac{6}{-13}\right)-\left(\frac{12}{-5}\right)\\= \frac{6}{13}+\frac{12}{5}\\=\frac{30}{65}+\frac{156}{65}\\=\frac{30+156}{65}\\=\frac{186}{65}\)
12. \(+\left(\frac{-8}{-5}\right)+\left(\frac{-6}{7}\right)\\= \frac{8}{5}-\frac{6}{7}\\=\frac{56}{35}-\frac{30}{35}\\=\frac{56-30}{35}\\=\frac{26}{35}\)