Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{5}\right)-\left(\frac{-14}{13}\right)\\= \frac{-3}{5}+\frac{14}{13}\\=\frac{-39}{65}+\frac{70}{65}\\=\frac{-39+70}{65}\\=\frac{31}{65}\)
2. \(-\left(\frac{-12}{7}\right)-\left(\frac{14}{13}\right)\\= \frac{12}{7}-\frac{14}{13}\\=\frac{156}{91}-\frac{98}{91}\\=\frac{156-98}{91}\\=\frac{58}{91}\)
3. \(+\left(\frac{-11}{-8}\right)+\left(\frac{-5}{-3}\right)\\= \frac{11}{8}+\frac{5}{3}\\=\frac{33}{24}+\frac{40}{24}\\=\frac{33+40}{24}\\=\frac{73}{24}\)
4. \(+\left(\frac{-2}{-3}\right)+\left(\frac{7}{-4}\right)\\= \frac{2}{3}-\frac{7}{4}\\=\frac{8}{12}-\frac{21}{12}\\=\frac{8-21}{12}\\=\frac{-13}{12}\)
5. \(-\left(\frac{13}{11}\right)+\left(\frac{5}{-8}\right)\\= \frac{-13}{11}-\frac{5}{8}\\=\frac{-104}{88}-\frac{55}{88}\\=\frac{-104-55}{88}\\=\frac{-159}{88}\)
6. \(-\left(\frac{8}{-3}\right)+\left(\frac{-15}{-8}\right)\\= \frac{8}{3}+\frac{15}{8}\\=\frac{64}{24}+\frac{45}{24}\\=\frac{64+45}{24}\\=\frac{109}{24}\)
7. \(-\left(\frac{15}{2}\right)-\left(\frac{-5}{13}\right)\\= \frac{-15}{2}+\frac{5}{13}\\=\frac{-195}{26}+\frac{10}{26}\\=\frac{-195+10}{26}\\=\frac{-185}{26}\)
8. \(+\left(\frac{-4}{3}\right)-\left(\frac{-9}{-10}\right)\\= \frac{-4}{3}-\frac{9}{10}\\=\frac{-40}{30}-\frac{27}{30}\\=\frac{-40-27}{30}\\=\frac{-67}{30}\)
9. \(-\left(\frac{6}{7}\right)+\left(\frac{7}{4}\right)\\= \frac{-6}{7}+\frac{7}{4}\\=\frac{-24}{28}+\frac{49}{28}\\=\frac{-24+49}{28}\\=\frac{25}{28}\)
10. \(+\left(\frac{7}{-2}\right)+\left(\frac{4}{-13}\right)\\= \frac{-7}{2}-\frac{4}{13}\\=\frac{-91}{26}-\frac{8}{26}\\=\frac{-91-8}{26}\\=\frac{-99}{26}\)
11. \(+\left(\frac{-11}{-7}\right)+\left(\frac{12}{11}\right)\\= \frac{11}{7}+\frac{12}{11}\\=\frac{121}{77}+\frac{84}{77}\\=\frac{121+84}{77}\\=\frac{205}{77}\)
12. \(+\left(\frac{3}{-2}\right)-\left(\frac{-11}{-13}\right)\\= \frac{-3}{2}-\frac{11}{13}\\=\frac{-39}{26}-\frac{22}{26}\\=\frac{-39-22}{26}\\=\frac{-61}{26}\)