Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{10}{3}\right)+\left(\frac{-8}{-3}\right)\\= \frac{-10}{3}+\frac{8}{3}\\=\frac{-10+8}{3}\\=\frac{-2}{3}\)
2. \(+\left(\frac{6}{-11}\right)-\left(\frac{-5}{-3}\right)\\= \frac{-6}{11}-\frac{5}{3}\\=\frac{-18}{33}-\frac{55}{33}\\=\frac{-18-55}{33}\\=\frac{-73}{33}\)
3. \(+\left(\frac{-3}{7}\right)-\left(\frac{12}{-11}\right)\\= \frac{-3}{7}+\frac{12}{11}\\=\frac{-33}{77}+\frac{84}{77}\\=\frac{-33+84}{77}\\=\frac{51}{77}\)
4. \(-\left(\frac{8}{-13}\right)+\left(\frac{9}{-4}\right)\\= \frac{8}{13}-\frac{9}{4}\\=\frac{32}{52}-\frac{117}{52}\\=\frac{32-117}{52}\\=\frac{-85}{52}\)
5. \(-\left(\frac{8}{-11}\right)-\left(\frac{3}{-4}\right)\\= \frac{8}{11}+\frac{3}{4}\\=\frac{32}{44}+\frac{33}{44}\\=\frac{32+33}{44}\\=\frac{65}{44}\)
6. \(-\left(\frac{7}{12}\right)-\left(\frac{-13}{-10}\right)\\= \frac{-7}{12}-\frac{13}{10}\\=\frac{-35}{60}-\frac{78}{60}\\=\frac{-35-78}{60}\\=\frac{-113}{60}\)
7. \(-\left(\frac{6}{13}\right)-\left(\frac{6}{-5}\right)\\= \frac{-6}{13}+\frac{6}{5}\\=\frac{-30}{65}+\frac{78}{65}\\=\frac{-30+78}{65}\\=\frac{48}{65}\)
8. \(+\left(\frac{-5}{-13}\right)-\left(\frac{-8}{-13}\right)\\= \frac{5}{13}-\frac{8}{13}\\=\frac{5-8}{13}\\=\frac{-3}{13}\)
9. \(-\left(\frac{4}{13}\right)+\left(\frac{15}{13}\right)\\= \frac{-4}{13}+\frac{15}{13}\\=\frac{-4+15}{13}\\=\frac{11}{13}\)
10. \(-\left(\frac{13}{7}\right)-\left(\frac{-10}{13}\right)\\= \frac{-13}{7}+\frac{10}{13}\\=\frac{-169}{91}+\frac{70}{91}\\=\frac{-169+70}{91}\\=\frac{-99}{91}\)
11. \(-\left(\frac{9}{11}\right)+\left(\frac{-6}{5}\right)\\= \frac{-9}{11}-\frac{6}{5}\\=\frac{-45}{55}-\frac{66}{55}\\=\frac{-45-66}{55}\\=\frac{-111}{55}\)
12. \(+\left(\frac{-14}{-11}\right)-\left(\frac{-8}{3}\right)\\= \frac{14}{11}+\frac{8}{3}\\=\frac{42}{33}+\frac{88}{33}\\=\frac{42+88}{33}\\=\frac{130}{33}\)