Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{15}{4}\right)+\left(\frac{-4}{9}\right)\\= \frac{15}{4}-\frac{4}{9}\\=\frac{135}{36}-\frac{16}{36}\\=\frac{135-16}{36}\\=\frac{119}{36}\)
2. \(-\left(\frac{11}{-3}\right)+\left(\frac{-2}{3}\right)\\= \frac{11}{3}-\frac{2}{3}\\=\frac{11-2}{3}\\=\frac{9}{3}\\=\frac{3}{1}\)
3. \(-\left(\frac{-3}{10}\right)+\left(\frac{14}{-3}\right)\\= \frac{3}{10}-\frac{14}{3}\\=\frac{9}{30}-\frac{140}{30}\\=\frac{9-140}{30}\\=\frac{-131}{30}\)
4. \(+\left(\frac{-13}{12}\right)-\left(\frac{10}{13}\right)\\= \frac{-13}{12}-\frac{10}{13}\\=\frac{-169}{156}-\frac{120}{156}\\=\frac{-169-120}{156}\\=\frac{-289}{156}\)
5. \(+\left(\frac{-11}{13}\right)+\left(\frac{11}{-5}\right)\\= \frac{-11}{13}-\frac{11}{5}\\=\frac{-55}{65}-\frac{143}{65}\\=\frac{-55-143}{65}\\=\frac{-198}{65}\)
6. \(-\left(\frac{4}{-3}\right)+\left(\frac{-11}{14}\right)\\= \frac{4}{3}-\frac{11}{14}\\=\frac{56}{42}-\frac{33}{42}\\=\frac{56-33}{42}\\=\frac{23}{42}\)
7. \(-\left(\frac{2}{5}\right)+\left(\frac{-4}{11}\right)\\= \frac{-2}{5}-\frac{4}{11}\\=\frac{-22}{55}-\frac{20}{55}\\=\frac{-22-20}{55}\\=\frac{-42}{55}\)
8. \(+\left(\frac{7}{8}\right)+\left(\frac{13}{11}\right)\\= \frac{7}{8}+\frac{13}{11}\\=\frac{77}{88}+\frac{104}{88}\\=\frac{77+104}{88}\\=\frac{181}{88}\)
9. \(+\left(\frac{-8}{-13}\right)+\left(\frac{2}{-5}\right)\\= \frac{8}{13}-\frac{2}{5}\\=\frac{40}{65}-\frac{26}{65}\\=\frac{40-26}{65}\\=\frac{14}{65}\)
10. \(-\left(\frac{6}{5}\right)-\left(\frac{-2}{-5}\right)\\= \frac{-6}{5}-\frac{2}{5}\\=\frac{-6-2}{5}\\=\frac{-8}{5}\)
11. \(+\left(\frac{15}{7}\right)+\left(\frac{12}{-11}\right)\\= \frac{15}{7}-\frac{12}{11}\\=\frac{165}{77}-\frac{84}{77}\\=\frac{165-84}{77}\\=\frac{81}{77}\)
12. \(-\left(\frac{14}{11}\right)-\left(\frac{2}{3}\right)\\= \frac{-14}{11}-\frac{2}{3}\\=\frac{-42}{33}-\frac{22}{33}\\=\frac{-42-22}{33}\\=\frac{-64}{33}\)