Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-10}{7}\right)-\left(\frac{-13}{-7}\right)\\= \frac{10}{7}-\frac{13}{7}\\=\frac{10-13}{7}\\=\frac{-3}{7}\)
2. \(+\left(\frac{4}{-3}\right)-\left(\frac{2}{11}\right)\\= \frac{-4}{3}-\frac{2}{11}\\=\frac{-44}{33}-\frac{6}{33}\\=\frac{-44-6}{33}\\=\frac{-50}{33}\)
3. \(+\left(\frac{-5}{-4}\right)-\left(\frac{10}{7}\right)\\= \frac{5}{4}-\frac{10}{7}\\=\frac{35}{28}-\frac{40}{28}\\=\frac{35-40}{28}\\=\frac{-5}{28}\)
4. \(+\left(\frac{-11}{-2}\right)+\left(\frac{9}{7}\right)\\= \frac{11}{2}+\frac{9}{7}\\=\frac{77}{14}+\frac{18}{14}\\=\frac{77+18}{14}\\=\frac{95}{14}\)
5. \(+\left(\frac{-11}{3}\right)+\left(\frac{-5}{-6}\right)\\= \frac{-11}{3}+\frac{5}{6}\\=\frac{-22}{6}+\frac{5}{6}\\=\frac{-22+5}{6}\\=\frac{-17}{6}\)
6. \(+\left(\frac{14}{-5}\right)-\left(\frac{12}{-13}\right)\\= \frac{-14}{5}+\frac{12}{13}\\=\frac{-182}{65}+\frac{60}{65}\\=\frac{-182+60}{65}\\=\frac{-122}{65}\)
7. \(+\left(\frac{-12}{-5}\right)+\left(\frac{-7}{-12}\right)\\= \frac{12}{5}+\frac{7}{12}\\=\frac{144}{60}+\frac{35}{60}\\=\frac{144+35}{60}\\=\frac{179}{60}\)
8. \(+\left(\frac{9}{13}\right)-\left(\frac{10}{-3}\right)\\= \frac{9}{13}+\frac{10}{3}\\=\frac{27}{39}+\frac{130}{39}\\=\frac{27+130}{39}\\=\frac{157}{39}\)
9. \(+\left(\frac{-6}{5}\right)-\left(\frac{7}{12}\right)\\= \frac{-6}{5}-\frac{7}{12}\\=\frac{-72}{60}-\frac{35}{60}\\=\frac{-72-35}{60}\\=\frac{-107}{60}\)
10. \(+\left(\frac{-13}{-2}\right)-\left(\frac{-12}{-5}\right)\\= \frac{13}{2}-\frac{12}{5}\\=\frac{65}{10}-\frac{24}{10}\\=\frac{65-24}{10}\\=\frac{41}{10}\)
11. \(+\left(\frac{13}{-8}\right)-\left(\frac{-10}{7}\right)\\= \frac{-13}{8}+\frac{10}{7}\\=\frac{-91}{56}+\frac{80}{56}\\=\frac{-91+80}{56}\\=\frac{-11}{56}\)
12. \(+\left(\frac{15}{7}\right)+\left(\frac{-4}{7}\right)\\= \frac{15}{7}-\frac{4}{7}\\=\frac{15-4}{7}\\=\frac{11}{7}\)