Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{-4}\right)+\left(\frac{-2}{3}\right)\\= \frac{9}{4}-\frac{2}{3}\\=\frac{27}{12}-\frac{8}{12}\\=\frac{27-8}{12}\\=\frac{19}{12}\)
2. \(+\left(\frac{-10}{-3}\right)+\left(\frac{15}{-2}\right)\\= \frac{10}{3}-\frac{15}{2}\\=\frac{20}{6}-\frac{45}{6}\\=\frac{20-45}{6}\\=\frac{-25}{6}\)
3. \(+\left(\frac{15}{-11}\right)-\left(\frac{7}{11}\right)\\= \frac{-15}{11}-\frac{7}{11}\\=\frac{-15-7}{11}\\=\frac{-22}{11}\\=\frac{-2}{1}\)
4. \(-\left(\frac{-12}{-5}\right)+\left(\frac{-2}{-11}\right)\\= \frac{-12}{5}+\frac{2}{11}\\=\frac{-132}{55}+\frac{10}{55}\\=\frac{-132+10}{55}\\=\frac{-122}{55}\)
5. \(-\left(\frac{-9}{10}\right)-\left(\frac{-2}{11}\right)\\= \frac{9}{10}+\frac{2}{11}\\=\frac{99}{110}+\frac{20}{110}\\=\frac{99+20}{110}\\=\frac{119}{110}\)
6. \(+\left(\frac{-5}{11}\right)-\left(\frac{10}{11}\right)\\= \frac{-5}{11}-\frac{10}{11}\\=\frac{-5-10}{11}\\=\frac{-15}{11}\)
7. \(+\left(\frac{-4}{-3}\right)-\left(\frac{10}{13}\right)\\= \frac{4}{3}-\frac{10}{13}\\=\frac{52}{39}-\frac{30}{39}\\=\frac{52-30}{39}\\=\frac{22}{39}\)
8. \(+\left(\frac{13}{14}\right)+\left(\frac{-10}{7}\right)\\= \frac{13}{14}-\frac{10}{7}\\=\frac{13-10}{14}\\=\frac{3}{14}\)
9. \(-\left(\frac{6}{11}\right)-\left(\frac{-13}{10}\right)\\= \frac{-6}{11}+\frac{13}{10}\\=\frac{-60}{110}+\frac{143}{110}\\=\frac{-60+143}{110}\\=\frac{83}{110}\)
10. \(-\left(\frac{-3}{7}\right)-\left(\frac{-11}{10}\right)\\= \frac{3}{7}+\frac{11}{10}\\=\frac{30}{70}+\frac{77}{70}\\=\frac{30+77}{70}\\=\frac{107}{70}\)
11. \(+\left(\frac{-13}{-9}\right)-\left(\frac{-4}{-3}\right)\\= \frac{13}{9}-\frac{4}{3}\\=\frac{13-4}{9}\\=\frac{9}{9}\\=\frac{1}{1}\)
12. \(+\left(\frac{-6}{-7}\right)+\left(\frac{2}{9}\right)\\= \frac{6}{7}+\frac{2}{9}\\=\frac{54}{63}+\frac{14}{63}\\=\frac{54+14}{63}\\=\frac{68}{63}\)