Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{-5}\right)-\left(\frac{5}{4}\right)\\= \frac{-8}{5}-\frac{5}{4}\\=\frac{-32}{20}-\frac{25}{20}\\=\frac{-32-25}{20}\\=\frac{-57}{20}\)
2. \(-\left(\frac{-9}{7}\right)-\left(\frac{13}{-14}\right)\\= \frac{9}{7}+\frac{13}{14}\\=\frac{18}{14}+\frac{13}{14}\\=\frac{18+13}{14}\\=\frac{31}{14}\)
3. \(+\left(\frac{-5}{13}\right)+\left(\frac{-5}{3}\right)\\= \frac{-5}{13}-\frac{5}{3}\\=\frac{-15}{39}-\frac{65}{39}\\=\frac{-15-65}{39}\\=\frac{-80}{39}\)
4. \(-\left(\frac{4}{-3}\right)+\left(\frac{14}{13}\right)\\= \frac{4}{3}+\frac{14}{13}\\=\frac{52}{39}+\frac{42}{39}\\=\frac{52+42}{39}\\=\frac{94}{39}\)
5. \(+\left(\frac{8}{-11}\right)-\left(\frac{-15}{-2}\right)\\= \frac{-8}{11}-\frac{15}{2}\\=\frac{-16}{22}-\frac{165}{22}\\=\frac{-16-165}{22}\\=\frac{-181}{22}\)
6. \(-\left(\frac{13}{-9}\right)-\left(\frac{-8}{-13}\right)\\= \frac{13}{9}-\frac{8}{13}\\=\frac{169}{117}-\frac{72}{117}\\=\frac{169-72}{117}\\=\frac{97}{117}\)
7. \(+\left(\frac{7}{-13}\right)+\left(\frac{-3}{-7}\right)\\= \frac{-7}{13}+\frac{3}{7}\\=\frac{-49}{91}+\frac{39}{91}\\=\frac{-49+39}{91}\\=\frac{-10}{91}\)
8. \(+\left(\frac{-4}{3}\right)+\left(\frac{9}{-7}\right)\\= \frac{-4}{3}-\frac{9}{7}\\=\frac{-28}{21}-\frac{27}{21}\\=\frac{-28-27}{21}\\=\frac{-55}{21}\)
9. \(+\left(\frac{15}{-4}\right)+\left(\frac{6}{-5}\right)\\= \frac{-15}{4}-\frac{6}{5}\\=\frac{-75}{20}-\frac{24}{20}\\=\frac{-75-24}{20}\\=\frac{-99}{20}\)
10. \(+\left(\frac{7}{6}\right)+\left(\frac{-11}{-12}\right)\\= \frac{7}{6}+\frac{11}{12}\\=\frac{14}{12}+\frac{11}{12}\\=\frac{14+11}{12}\\=\frac{25}{12}\)
11. \(-\left(\frac{11}{-3}\right)+\left(\frac{-10}{3}\right)\\= \frac{11}{3}-\frac{10}{3}\\=\frac{11-10}{3}\\=\frac{1}{3}\)
12. \(+\left(\frac{6}{11}\right)+\left(\frac{8}{-11}\right)\\= \frac{6}{11}-\frac{8}{11}\\=\frac{6-8}{11}\\=\frac{-2}{11}\)