Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{10}{-3}\right)-\left(\frac{12}{11}\right)\\= \frac{-10}{3}-\frac{12}{11}\\=\frac{-110}{33}-\frac{36}{33}\\=\frac{-110-36}{33}\\=\frac{-146}{33}\)
2. \(+\left(\frac{-9}{-7}\right)-\left(\frac{-15}{-7}\right)\\= \frac{9}{7}-\frac{15}{7}\\=\frac{9-15}{7}\\=\frac{-6}{7}\)
3. \(+\left(\frac{-7}{2}\right)-\left(\frac{-15}{7}\right)\\= \frac{-7}{2}+\frac{15}{7}\\=\frac{-49}{14}+\frac{30}{14}\\=\frac{-49+30}{14}\\=\frac{-19}{14}\)
4. \(+\left(\frac{-14}{13}\right)-\left(\frac{-13}{5}\right)\\= \frac{-14}{13}+\frac{13}{5}\\=\frac{-70}{65}+\frac{169}{65}\\=\frac{-70+169}{65}\\=\frac{99}{65}\)
5. \(+\left(\frac{-9}{2}\right)-\left(\frac{-2}{7}\right)\\= \frac{-9}{2}+\frac{2}{7}\\=\frac{-63}{14}+\frac{4}{14}\\=\frac{-63+4}{14}\\=\frac{-59}{14}\)
6. \(-\left(\frac{15}{-13}\right)+\left(\frac{12}{-13}\right)\\= \frac{15}{13}-\frac{12}{13}\\=\frac{15-12}{13}\\=\frac{3}{13}\)
7. \(-\left(\frac{3}{-7}\right)-\left(\frac{2}{-5}\right)\\= \frac{3}{7}+\frac{2}{5}\\=\frac{15}{35}+\frac{14}{35}\\=\frac{15+14}{35}\\=\frac{29}{35}\)
8. \(+\left(\frac{12}{5}\right)+\left(\frac{5}{4}\right)\\= \frac{12}{5}+\frac{5}{4}\\=\frac{48}{20}+\frac{25}{20}\\=\frac{48+25}{20}\\=\frac{73}{20}\)
9. \(+\left(\frac{-11}{-13}\right)+\left(\frac{-3}{-5}\right)\\= \frac{11}{13}+\frac{3}{5}\\=\frac{55}{65}+\frac{39}{65}\\=\frac{55+39}{65}\\=\frac{94}{65}\)
10. \(-\left(\frac{-8}{3}\right)-\left(\frac{-5}{14}\right)\\= \frac{8}{3}+\frac{5}{14}\\=\frac{112}{42}+\frac{15}{42}\\=\frac{112+15}{42}\\=\frac{127}{42}\)
11. \(+\left(\frac{10}{11}\right)+\left(\frac{-8}{-3}\right)\\= \frac{10}{11}+\frac{8}{3}\\=\frac{30}{33}+\frac{88}{33}\\=\frac{30+88}{33}\\=\frac{118}{33}\)
12. \(+\left(\frac{8}{13}\right)-\left(\frac{-2}{9}\right)\\= \frac{8}{13}+\frac{2}{9}\\=\frac{72}{117}+\frac{26}{117}\\=\frac{72+26}{117}\\=\frac{98}{117}\)