Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{3}\right)-\left(\frac{-13}{-8}\right)\\= \frac{-14}{3}-\frac{13}{8}\\=\frac{-112}{24}-\frac{39}{24}\\=\frac{-112-39}{24}\\=\frac{-151}{24}\)
2. \(+\left(\frac{15}{13}\right)-\left(\frac{-5}{-2}\right)\\= \frac{15}{13}-\frac{5}{2}\\=\frac{30}{26}-\frac{65}{26}\\=\frac{30-65}{26}\\=\frac{-35}{26}\)
3. \(+\left(\frac{7}{11}\right)-\left(\frac{11}{14}\right)\\= \frac{7}{11}-\frac{11}{14}\\=\frac{98}{154}-\frac{121}{154}\\=\frac{98-121}{154}\\=\frac{-23}{154}\)
4. \(-\left(\frac{2}{5}\right)-\left(\frac{-3}{4}\right)\\= \frac{-2}{5}+\frac{3}{4}\\=\frac{-8}{20}+\frac{15}{20}\\=\frac{-8+15}{20}\\=\frac{7}{20}\)
5. \(+\left(\frac{-5}{6}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-5}{6}+\frac{15}{11}\\=\frac{-55}{66}+\frac{90}{66}\\=\frac{-55+90}{66}\\=\frac{35}{66}\)
6. \(-\left(\frac{7}{5}\right)-\left(\frac{-5}{-4}\right)\\= \frac{-7}{5}-\frac{5}{4}\\=\frac{-28}{20}-\frac{25}{20}\\=\frac{-28-25}{20}\\=\frac{-53}{20}\)
7. \(-\left(\frac{4}{-5}\right)-\left(\frac{7}{-2}\right)\\= \frac{4}{5}+\frac{7}{2}\\=\frac{8}{10}+\frac{35}{10}\\=\frac{8+35}{10}\\=\frac{43}{10}\)
8. \(-\left(\frac{13}{8}\right)-\left(\frac{5}{3}\right)\\= \frac{-13}{8}-\frac{5}{3}\\=\frac{-39}{24}-\frac{40}{24}\\=\frac{-39-40}{24}\\=\frac{-79}{24}\)
9. \(+\left(\frac{-10}{3}\right)-\left(\frac{7}{2}\right)\\= \frac{-10}{3}-\frac{7}{2}\\=\frac{-20}{6}-\frac{21}{6}\\=\frac{-20-21}{6}\\=\frac{-41}{6}\)
10. \(+\left(\frac{-12}{5}\right)-\left(\frac{15}{13}\right)\\= \frac{-12}{5}-\frac{15}{13}\\=\frac{-156}{65}-\frac{75}{65}\\=\frac{-156-75}{65}\\=\frac{-231}{65}\)
11. \(+\left(\frac{-10}{-7}\right)+\left(\frac{-14}{11}\right)\\= \frac{10}{7}-\frac{14}{11}\\=\frac{110}{77}-\frac{98}{77}\\=\frac{110-98}{77}\\=\frac{12}{77}\)
12. \(+\left(\frac{-12}{13}\right)-\left(\frac{6}{5}\right)\\= \frac{-12}{13}-\frac{6}{5}\\=\frac{-60}{65}-\frac{78}{65}\\=\frac{-60-78}{65}\\=\frac{-138}{65}\)