Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{11}\right)-\left(\frac{13}{-7}\right)\\= \frac{14}{11}+\frac{13}{7}\\=\frac{98}{77}+\frac{143}{77}\\=\frac{98+143}{77}\\=\frac{241}{77}\)
2. \(+\left(\frac{13}{6}\right)-\left(\frac{3}{-13}\right)\\= \frac{13}{6}+\frac{3}{13}\\=\frac{169}{78}+\frac{18}{78}\\=\frac{169+18}{78}\\=\frac{187}{78}\)
3. \(-\left(\frac{-9}{13}\right)-\left(\frac{-15}{4}\right)\\= \frac{9}{13}+\frac{15}{4}\\=\frac{36}{52}+\frac{195}{52}\\=\frac{36+195}{52}\\=\frac{231}{52}\)
4. \(+\left(\frac{-5}{7}\right)+\left(\frac{12}{-13}\right)\\= \frac{-5}{7}-\frac{12}{13}\\=\frac{-65}{91}-\frac{84}{91}\\=\frac{-65-84}{91}\\=\frac{-149}{91}\)
5. \(-\left(\frac{9}{-14}\right)-\left(\frac{13}{-4}\right)\\= \frac{9}{14}+\frac{13}{4}\\=\frac{18}{28}+\frac{91}{28}\\=\frac{18+91}{28}\\=\frac{109}{28}\)
6. \(+\left(\frac{-5}{-12}\right)-\left(\frac{7}{13}\right)\\= \frac{5}{12}-\frac{7}{13}\\=\frac{65}{156}-\frac{84}{156}\\=\frac{65-84}{156}\\=\frac{-19}{156}\)
7. \(-\left(\frac{-10}{-9}\right)+\left(\frac{5}{2}\right)\\= \frac{-10}{9}+\frac{5}{2}\\=\frac{-20}{18}+\frac{45}{18}\\=\frac{-20+45}{18}\\=\frac{25}{18}\)
8. \(+\left(\frac{3}{-4}\right)+\left(\frac{8}{-9}\right)\\= \frac{-3}{4}-\frac{8}{9}\\=\frac{-27}{36}-\frac{32}{36}\\=\frac{-27-32}{36}\\=\frac{-59}{36}\)
9. \(-\left(\frac{3}{-10}\right)+\left(\frac{-5}{6}\right)\\= \frac{3}{10}-\frac{5}{6}\\=\frac{9}{30}-\frac{25}{30}\\=\frac{9-25}{30}\\=\frac{-16}{30}\\=\frac{-8}{15}\)
10. \(+\left(\frac{-4}{-7}\right)-\left(\frac{9}{-14}\right)\\= \frac{4}{7}+\frac{9}{14}\\=\frac{8}{14}+\frac{9}{14}\\=\frac{8+9}{14}\\=\frac{17}{14}\)
11. \(+\left(\frac{14}{9}\right)+\left(\frac{-6}{11}\right)\\= \frac{14}{9}-\frac{6}{11}\\=\frac{154}{99}-\frac{54}{99}\\=\frac{154-54}{99}\\=\frac{100}{99}\)
12. \(-\left(\frac{10}{7}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-10}{7}-\frac{4}{3}\\=\frac{-30}{21}-\frac{28}{21}\\=\frac{-30-28}{21}\\=\frac{-58}{21}\)