Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{-9}\right)+\left(\frac{9}{-8}\right)\\= \frac{7}{9}-\frac{9}{8}\\=\frac{56}{72}-\frac{81}{72}\\=\frac{56-81}{72}\\=\frac{-25}{72}\)
2. \(+\left(\frac{14}{3}\right)-\left(\frac{10}{7}\right)\\= \frac{14}{3}-\frac{10}{7}\\=\frac{98}{21}-\frac{30}{21}\\=\frac{98-30}{21}\\=\frac{68}{21}\)
3. \(+\left(\frac{14}{-3}\right)-\left(\frac{10}{-7}\right)\\= \frac{-14}{3}+\frac{10}{7}\\=\frac{-98}{21}+\frac{30}{21}\\=\frac{-98+30}{21}\\=\frac{-68}{21}\)
4. \(-\left(\frac{-11}{-4}\right)+\left(\frac{-8}{13}\right)\\= \frac{-11}{4}-\frac{8}{13}\\=\frac{-143}{52}-\frac{32}{52}\\=\frac{-143-32}{52}\\=\frac{-175}{52}\)
5. \(-\left(\frac{-8}{-9}\right)+\left(\frac{-14}{-3}\right)\\= \frac{-8}{9}+\frac{14}{3}\\=\frac{-8+14}{9}\\=\frac{6}{9}\\=\frac{2}{3}\)
6. \(+\left(\frac{11}{-7}\right)+\left(\frac{2}{3}\right)\\= \frac{-11}{7}+\frac{2}{3}\\=\frac{-33}{21}+\frac{14}{21}\\=\frac{-33+14}{21}\\=\frac{-19}{21}\)
7. \(+\left(\frac{-2}{-3}\right)+\left(\frac{-6}{-5}\right)\\= \frac{2}{3}+\frac{6}{5}\\=\frac{10}{15}+\frac{18}{15}\\=\frac{10+18}{15}\\=\frac{28}{15}\)
8. \(-\left(\frac{-3}{7}\right)+\left(\frac{-2}{13}\right)\\= \frac{3}{7}-\frac{2}{13}\\=\frac{39}{91}-\frac{14}{91}\\=\frac{39-14}{91}\\=\frac{25}{91}\)
9. \(-\left(\frac{-12}{5}\right)+\left(\frac{8}{3}\right)\\= \frac{12}{5}+\frac{8}{3}\\=\frac{36}{15}+\frac{40}{15}\\=\frac{36+40}{15}\\=\frac{76}{15}\)
10. \(-\left(\frac{5}{-9}\right)+\left(\frac{-6}{7}\right)\\= \frac{5}{9}-\frac{6}{7}\\=\frac{35}{63}-\frac{54}{63}\\=\frac{35-54}{63}\\=\frac{-19}{63}\)
11. \(+\left(\frac{-2}{13}\right)+\left(\frac{6}{-13}\right)\\= \frac{-2}{13}-\frac{6}{13}\\=\frac{-2-6}{13}\\=\frac{-8}{13}\)
12. \(+\left(\frac{-3}{5}\right)+\left(\frac{-9}{10}\right)\\= \frac{-3}{5}-\frac{9}{10}\\=\frac{-6}{10}-\frac{9}{10}\\=\frac{-6-9}{10}\\=\frac{-15}{10}\\=\frac{-3}{2}\)