Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{-11}\right)-\left(\frac{3}{14}\right)\\= \frac{-14}{11}-\frac{3}{14}\\=\frac{-196}{154}-\frac{33}{154}\\=\frac{-196-33}{154}\\=\frac{-229}{154}\)
2. \(-\left(\frac{-2}{-11}\right)-\left(\frac{-4}{3}\right)\\= \frac{-2}{11}+\frac{4}{3}\\=\frac{-6}{33}+\frac{44}{33}\\=\frac{-6+44}{33}\\=\frac{38}{33}\)
3. \(+\left(\frac{-14}{13}\right)+\left(\frac{14}{-9}\right)\\= \frac{-14}{13}-\frac{14}{9}\\=\frac{-126}{117}-\frac{182}{117}\\=\frac{-126-182}{117}\\=\frac{-308}{117}\)
4. \(+\left(\frac{-15}{-7}\right)-\left(\frac{-3}{-13}\right)\\= \frac{15}{7}-\frac{3}{13}\\=\frac{195}{91}-\frac{21}{91}\\=\frac{195-21}{91}\\=\frac{174}{91}\)
5. \(-\left(\frac{4}{-3}\right)+\left(\frac{-4}{11}\right)\\= \frac{4}{3}-\frac{4}{11}\\=\frac{44}{33}-\frac{12}{33}\\=\frac{44-12}{33}\\=\frac{32}{33}\)
6. \(-\left(\frac{8}{-3}\right)-\left(\frac{5}{-12}\right)\\= \frac{8}{3}+\frac{5}{12}\\=\frac{32}{12}+\frac{5}{12}\\=\frac{32+5}{12}\\=\frac{37}{12}\)
7. \(+\left(\frac{-3}{-4}\right)-\left(\frac{9}{-13}\right)\\= \frac{3}{4}+\frac{9}{13}\\=\frac{39}{52}+\frac{36}{52}\\=\frac{39+36}{52}\\=\frac{75}{52}\)
8. \(-\left(\frac{-6}{-11}\right)+\left(\frac{3}{2}\right)\\= \frac{-6}{11}+\frac{3}{2}\\=\frac{-12}{22}+\frac{33}{22}\\=\frac{-12+33}{22}\\=\frac{21}{22}\)
9. \(+\left(\frac{3}{2}\right)+\left(\frac{9}{-13}\right)\\= \frac{3}{2}-\frac{9}{13}\\=\frac{39}{26}-\frac{18}{26}\\=\frac{39-18}{26}\\=\frac{21}{26}\)
10. \(+\left(\frac{-5}{-2}\right)-\left(\frac{-10}{3}\right)\\= \frac{5}{2}+\frac{10}{3}\\=\frac{15}{6}+\frac{20}{6}\\=\frac{15+20}{6}\\=\frac{35}{6}\)
11. \(-\left(\frac{12}{-7}\right)+\left(\frac{2}{7}\right)\\= \frac{12}{7}+\frac{2}{7}\\=\frac{12+2}{7}\\=\frac{14}{7}\\=\frac{2}{1}\)
12. \(+\left(\frac{11}{6}\right)+\left(\frac{-11}{-8}\right)\\= \frac{11}{6}+\frac{11}{8}\\=\frac{44}{24}+\frac{33}{24}\\=\frac{44+33}{24}\\=\frac{77}{24}\)