Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-3}{-2}\right)-\left(\frac{12}{5}\right)\\= \frac{3}{2}-\frac{12}{5}\\=\frac{15}{10}-\frac{24}{10}\\=\frac{15-24}{10}\\=\frac{-9}{10}\)
2. \(-\left(\frac{-12}{11}\right)+\left(\frac{-9}{8}\right)\\= \frac{12}{11}-\frac{9}{8}\\=\frac{96}{88}-\frac{99}{88}\\=\frac{96-99}{88}\\=\frac{-3}{88}\)
3. \(+\left(\frac{-5}{-9}\right)-\left(\frac{-6}{-13}\right)\\= \frac{5}{9}-\frac{6}{13}\\=\frac{65}{117}-\frac{54}{117}\\=\frac{65-54}{117}\\=\frac{11}{117}\)
4. \(+\left(\frac{-8}{5}\right)-\left(\frac{-11}{2}\right)\\= \frac{-8}{5}+\frac{11}{2}\\=\frac{-16}{10}+\frac{55}{10}\\=\frac{-16+55}{10}\\=\frac{39}{10}\)
5. \(+\left(\frac{14}{-13}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-14}{13}-\frac{12}{5}\\=\frac{-70}{65}-\frac{156}{65}\\=\frac{-70-156}{65}\\=\frac{-226}{65}\)
6. \(+\left(\frac{8}{-13}\right)-\left(\frac{5}{-4}\right)\\= \frac{-8}{13}+\frac{5}{4}\\=\frac{-32}{52}+\frac{65}{52}\\=\frac{-32+65}{52}\\=\frac{33}{52}\)
7. \(-\left(\frac{9}{2}\right)+\left(\frac{11}{6}\right)\\= \frac{-9}{2}+\frac{11}{6}\\=\frac{-27}{6}+\frac{11}{6}\\=\frac{-27+11}{6}\\=\frac{-16}{6}\\=\frac{-8}{3}\)
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. \(-\left(\frac{15}{13}\right)-\left(\frac{-13}{14}\right)\\= \frac{-15}{13}+\frac{13}{14}\\=\frac{-210}{182}+\frac{169}{182}\\=\frac{-210+169}{182}\\=\frac{-41}{182}\)
10. \(-\left(\frac{13}{-11}\right)-\left(\frac{2}{-3}\right)\\= \frac{13}{11}+\frac{2}{3}\\=\frac{39}{33}+\frac{22}{33}\\=\frac{39+22}{33}\\=\frac{61}{33}\)
11. \(-\left(\frac{2}{3}\right)+\left(\frac{13}{12}\right)\\= \frac{-2}{3}+\frac{13}{12}\\=\frac{-8}{12}+\frac{13}{12}\\=\frac{-8+13}{12}\\=\frac{5}{12}\)
12. \(-\left(\frac{15}{2}\right)+\left(\frac{-6}{-13}\right)\\= \frac{-15}{2}+\frac{6}{13}\\=\frac{-195}{26}+\frac{12}{26}\\=\frac{-195+12}{26}\\=\frac{-183}{26}\)