Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{5}\right)-\left(\frac{14}{-11}\right)\\= \frac{-14}{5}+\frac{14}{11}\\=\frac{-154}{55}+\frac{70}{55}\\=\frac{-154+70}{55}\\=\frac{-84}{55}\)
2. \(-\left(\frac{-13}{8}\right)+\left(\frac{-5}{-7}\right)\\= \frac{13}{8}+\frac{5}{7}\\=\frac{91}{56}+\frac{40}{56}\\=\frac{91+40}{56}\\=\frac{131}{56}\)
3. \(+\left(\frac{-13}{6}\right)-\left(\frac{8}{11}\right)\\= \frac{-13}{6}-\frac{8}{11}\\=\frac{-143}{66}-\frac{48}{66}\\=\frac{-143-48}{66}\\=\frac{-191}{66}\)
4. \(+\left(\frac{-5}{3}\right)-\left(\frac{-12}{11}\right)\\= \frac{-5}{3}+\frac{12}{11}\\=\frac{-55}{33}+\frac{36}{33}\\=\frac{-55+36}{33}\\=\frac{-19}{33}\)
5. \(-\left(\frac{7}{-2}\right)-\left(\frac{2}{-11}\right)\\= \frac{7}{2}+\frac{2}{11}\\=\frac{77}{22}+\frac{4}{22}\\=\frac{77+4}{22}\\=\frac{81}{22}\)
6. \(-\left(\frac{15}{-7}\right)-\left(\frac{-14}{-9}\right)\\= \frac{15}{7}-\frac{14}{9}\\=\frac{135}{63}-\frac{98}{63}\\=\frac{135-98}{63}\\=\frac{37}{63}\)
7. \(+\left(\frac{14}{9}\right)-\left(\frac{-12}{-5}\right)\\= \frac{14}{9}-\frac{12}{5}\\=\frac{70}{45}-\frac{108}{45}\\=\frac{70-108}{45}\\=\frac{-38}{45}\)
8. \(-\left(\frac{-15}{-11}\right)+\left(\frac{6}{11}\right)\\= \frac{-15}{11}+\frac{6}{11}\\=\frac{-15+6}{11}\\=\frac{-9}{11}\)
9. \(+\left(\frac{11}{13}\right)+\left(\frac{3}{-8}\right)\\= \frac{11}{13}-\frac{3}{8}\\=\frac{88}{104}-\frac{39}{104}\\=\frac{88-39}{104}\\=\frac{49}{104}\)
10. \(+\left(\frac{4}{13}\right)-\left(\frac{4}{9}\right)\\= \frac{4}{13}-\frac{4}{9}\\=\frac{36}{117}-\frac{52}{117}\\=\frac{36-52}{117}\\=\frac{-16}{117}\)
11. \(+\left(\frac{-6}{11}\right)-\left(\frac{10}{-13}\right)\\= \frac{-6}{11}+\frac{10}{13}\\=\frac{-78}{143}+\frac{110}{143}\\=\frac{-78+110}{143}\\=\frac{32}{143}\)
12. \(-\left(\frac{-5}{6}\right)-\left(\frac{-7}{-3}\right)\\= \frac{5}{6}-\frac{7}{3}\\=\frac{5-7}{6}\\=\frac{-2}{6}\\=\frac{-1}{3}\)