Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{-4}\right)-\left(\frac{2}{-3}\right)\\= \frac{15}{4}+\frac{2}{3}\\=\frac{45}{12}+\frac{8}{12}\\=\frac{45+8}{12}\\=\frac{53}{12}\)
2. \(+\left(\frac{5}{-2}\right)+\left(\frac{-8}{5}\right)\\= \frac{-5}{2}-\frac{8}{5}\\=\frac{-25}{10}-\frac{16}{10}\\=\frac{-25-16}{10}\\=\frac{-41}{10}\)
3. \(+\left(\frac{14}{-5}\right)+\left(\frac{-13}{12}\right)\\= \frac{-14}{5}-\frac{13}{12}\\=\frac{-168}{60}-\frac{65}{60}\\=\frac{-168-65}{60}\\=\frac{-233}{60}\)
4. \(+\left(\frac{-12}{13}\right)-\left(\frac{-15}{8}\right)\\= \frac{-12}{13}+\frac{15}{8}\\=\frac{-96}{104}+\frac{195}{104}\\=\frac{-96+195}{104}\\=\frac{99}{104}\)
5. \(+\left(\frac{15}{-13}\right)+\left(\frac{9}{4}\right)\\= \frac{-15}{13}+\frac{9}{4}\\=\frac{-60}{52}+\frac{117}{52}\\=\frac{-60+117}{52}\\=\frac{57}{52}\)
6. \(-\left(\frac{8}{-3}\right)-\left(\frac{3}{-10}\right)\\= \frac{8}{3}+\frac{3}{10}\\=\frac{80}{30}+\frac{9}{30}\\=\frac{80+9}{30}\\=\frac{89}{30}\)
7. \(+\left(\frac{-6}{-11}\right)+\left(\frac{-8}{-3}\right)\\= \frac{6}{11}+\frac{8}{3}\\=\frac{18}{33}+\frac{88}{33}\\=\frac{18+88}{33}\\=\frac{106}{33}\)
8. \(-\left(\frac{-4}{9}\right)+\left(\frac{3}{7}\right)\\= \frac{4}{9}+\frac{3}{7}\\=\frac{28}{63}+\frac{27}{63}\\=\frac{28+27}{63}\\=\frac{55}{63}\)
9. \(-\left(\frac{6}{5}\right)+\left(\frac{-15}{7}\right)\\= \frac{-6}{5}-\frac{15}{7}\\=\frac{-42}{35}-\frac{75}{35}\\=\frac{-42-75}{35}\\=\frac{-117}{35}\)
10. \(-\left(\frac{-10}{3}\right)-\left(\frac{-5}{-3}\right)\\= \frac{10}{3}-\frac{5}{3}\\=\frac{10-5}{3}\\=\frac{5}{3}\)
11. \(+\left(\frac{-12}{5}\right)-\left(\frac{3}{-14}\right)\\= \frac{-12}{5}+\frac{3}{14}\\=\frac{-168}{70}+\frac{15}{70}\\=\frac{-168+15}{70}\\=\frac{-153}{70}\)
12. \(-\left(\frac{-9}{13}\right)-\left(\frac{-2}{9}\right)\\= \frac{9}{13}+\frac{2}{9}\\=\frac{81}{117}+\frac{26}{117}\\=\frac{81+26}{117}\\=\frac{107}{117}\)