Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{-7}\right)-\left(\frac{5}{-2}\right)\\= \frac{9}{7}+\frac{5}{2}\\=\frac{18}{14}+\frac{35}{14}\\=\frac{18+35}{14}\\=\frac{53}{14}\)
2. \(+\left(\frac{4}{-5}\right)+\left(\frac{-14}{3}\right)\\= \frac{-4}{5}-\frac{14}{3}\\=\frac{-12}{15}-\frac{70}{15}\\=\frac{-12-70}{15}\\=\frac{-82}{15}\)
3. \(-\left(\frac{-15}{-2}\right)+\left(\frac{4}{-3}\right)\\= \frac{-15}{2}-\frac{4}{3}\\=\frac{-45}{6}-\frac{8}{6}\\=\frac{-45-8}{6}\\=\frac{-53}{6}\)
4. \(-\left(\frac{-15}{-2}\right)+\left(\frac{8}{9}\right)\\= \frac{-15}{2}+\frac{8}{9}\\=\frac{-135}{18}+\frac{16}{18}\\=\frac{-135+16}{18}\\=\frac{-119}{18}\)
5. \(+\left(\frac{-9}{4}\right)+\left(\frac{6}{-13}\right)\\= \frac{-9}{4}-\frac{6}{13}\\=\frac{-117}{52}-\frac{24}{52}\\=\frac{-117-24}{52}\\=\frac{-141}{52}\)
6. \(+\left(\frac{5}{14}\right)+\left(\frac{-9}{-13}\right)\\= \frac{5}{14}+\frac{9}{13}\\=\frac{65}{182}+\frac{126}{182}\\=\frac{65+126}{182}\\=\frac{191}{182}\)
7. \(+\left(\frac{-12}{5}\right)-\left(\frac{-8}{-13}\right)\\= \frac{-12}{5}-\frac{8}{13}\\=\frac{-156}{65}-\frac{40}{65}\\=\frac{-156-40}{65}\\=\frac{-196}{65}\)
8. \(+\left(\frac{-14}{-5}\right)+\left(\frac{-6}{5}\right)\\= \frac{14}{5}-\frac{6}{5}\\=\frac{14-6}{5}\\=\frac{8}{5}\)
9. \(-\left(\frac{9}{8}\right)-\left(\frac{14}{5}\right)\\= \frac{-9}{8}-\frac{14}{5}\\=\frac{-45}{40}-\frac{112}{40}\\=\frac{-45-112}{40}\\=\frac{-157}{40}\)
10. \(-\left(\frac{6}{-5}\right)-\left(\frac{6}{-5}\right)\\= \frac{6}{5}+\frac{6}{5}\\=\frac{6+6}{5}\\=\frac{12}{5}\)
11. \(-\left(\frac{7}{5}\right)-\left(\frac{-13}{-10}\right)\\= \frac{-7}{5}-\frac{13}{10}\\=\frac{-14}{10}-\frac{13}{10}\\=\frac{-14-13}{10}\\=\frac{-27}{10}\)
12. \(-\left(\frac{14}{3}\right)+\left(\frac{5}{-11}\right)\\= \frac{-14}{3}-\frac{5}{11}\\=\frac{-154}{33}-\frac{15}{33}\\=\frac{-154-15}{33}\\=\frac{-169}{33}\)