Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{-3}\right)+\left(\frac{9}{-7}\right)\\= \frac{2}{3}-\frac{9}{7}\\=\frac{14}{21}-\frac{27}{21}\\=\frac{14-27}{21}\\=\frac{-13}{21}\)
2. \(-\left(\frac{13}{-5}\right)-\left(\frac{2}{-11}\right)\\= \frac{13}{5}+\frac{2}{11}\\=\frac{143}{55}+\frac{10}{55}\\=\frac{143+10}{55}\\=\frac{153}{55}\)
3. \(-\left(\frac{-7}{10}\right)-\left(\frac{-2}{-3}\right)\\= \frac{7}{10}-\frac{2}{3}\\=\frac{21}{30}-\frac{20}{30}\\=\frac{21-20}{30}\\=\frac{1}{30}\)
4. \(-\left(\frac{-3}{-7}\right)-\left(\frac{14}{-5}\right)\\= \frac{-3}{7}+\frac{14}{5}\\=\frac{-15}{35}+\frac{98}{35}\\=\frac{-15+98}{35}\\=\frac{83}{35}\)
5. \(+\left(\frac{-5}{2}\right)+\left(\frac{-3}{4}\right)\\= \frac{-5}{2}-\frac{3}{4}\\=\frac{-10}{4}-\frac{3}{4}\\=\frac{-10-3}{4}\\=\frac{-13}{4}\)
6. \(+\left(\frac{8}{-3}\right)+\left(\frac{-11}{-8}\right)\\= \frac{-8}{3}+\frac{11}{8}\\=\frac{-64}{24}+\frac{33}{24}\\=\frac{-64+33}{24}\\=\frac{-31}{24}\)
7. \(-\left(\frac{4}{7}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-4}{7}-\frac{14}{9}\\=\frac{-36}{63}-\frac{98}{63}\\=\frac{-36-98}{63}\\=\frac{-134}{63}\)
8. \(-\left(\frac{9}{-7}\right)-\left(\frac{4}{3}\right)\\= \frac{9}{7}-\frac{4}{3}\\=\frac{27}{21}-\frac{28}{21}\\=\frac{27-28}{21}\\=\frac{-1}{21}\)
9. \(+\left(\frac{-3}{13}\right)+\left(\frac{-3}{2}\right)\\= \frac{-3}{13}-\frac{3}{2}\\=\frac{-6}{26}-\frac{39}{26}\\=\frac{-6-39}{26}\\=\frac{-45}{26}\)
10. \(-\left(\frac{15}{2}\right)+\left(\frac{-8}{5}\right)\\= \frac{-15}{2}-\frac{8}{5}\\=\frac{-75}{10}-\frac{16}{10}\\=\frac{-75-16}{10}\\=\frac{-91}{10}\)
11. \(+\left(\frac{-2}{3}\right)+\left(\frac{13}{7}\right)\\= \frac{-2}{3}+\frac{13}{7}\\=\frac{-14}{21}+\frac{39}{21}\\=\frac{-14+39}{21}\\=\frac{25}{21}\)
12. \(-\left(\frac{-7}{13}\right)-\left(\frac{10}{-13}\right)\\= \frac{7}{13}+\frac{10}{13}\\=\frac{7+10}{13}\\=\frac{17}{13}\)