Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{-7}\right)-\left(\frac{13}{8}\right)\\= \frac{-4}{7}-\frac{13}{8}\\=\frac{-32}{56}-\frac{91}{56}\\=\frac{-32-91}{56}\\=\frac{-123}{56}\)
2. \(+\left(\frac{-3}{11}\right)+\left(\frac{11}{3}\right)\\= \frac{-3}{11}+\frac{11}{3}\\=\frac{-9}{33}+\frac{121}{33}\\=\frac{-9+121}{33}\\=\frac{112}{33}\)
3. \(+\left(\frac{-13}{-3}\right)+\left(\frac{7}{-3}\right)\\= \frac{13}{3}-\frac{7}{3}\\=\frac{13-7}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
4. \(+\left(\frac{-7}{6}\right)+\left(\frac{7}{10}\right)\\= \frac{-7}{6}+\frac{7}{10}\\=\frac{-35}{30}+\frac{21}{30}\\=\frac{-35+21}{30}\\=\frac{-14}{30}\\=\frac{-7}{15}\)
5. \(-\left(\frac{13}{8}\right)-\left(\frac{13}{-2}\right)\\= \frac{-13}{8}+\frac{13}{2}\\=\frac{-13+13}{8}\\=\frac{0}{8}\\=\frac{0}{1}\)
6. \(+\left(\frac{10}{3}\right)-\left(\frac{-3}{5}\right)\\= \frac{10}{3}+\frac{3}{5}\\=\frac{50}{15}+\frac{9}{15}\\=\frac{50+9}{15}\\=\frac{59}{15}\)
7. \(+\left(\frac{-10}{13}\right)-\left(\frac{14}{-11}\right)\\= \frac{-10}{13}+\frac{14}{11}\\=\frac{-110}{143}+\frac{182}{143}\\=\frac{-110+182}{143}\\=\frac{72}{143}\)
8. \(+\left(\frac{-12}{7}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-12}{7}+\frac{12}{5}\\=\frac{-60}{35}+\frac{84}{35}\\=\frac{-60+84}{35}\\=\frac{24}{35}\)
9. \(+\left(\frac{-2}{-13}\right)-\left(\frac{-14}{-5}\right)\\= \frac{2}{13}-\frac{14}{5}\\=\frac{10}{65}-\frac{182}{65}\\=\frac{10-182}{65}\\=\frac{-172}{65}\)
10. \(+\left(\frac{8}{3}\right)-\left(\frac{-8}{-7}\right)\\= \frac{8}{3}-\frac{8}{7}\\=\frac{56}{21}-\frac{24}{21}\\=\frac{56-24}{21}\\=\frac{32}{21}\)
11. \(+\left(\frac{5}{-6}\right)+\left(\frac{-5}{9}\right)\\= \frac{-5}{6}-\frac{5}{9}\\=\frac{-15}{18}-\frac{10}{18}\\=\frac{-15-10}{18}\\=\frac{-25}{18}\)
12. \(-\left(\frac{15}{11}\right)+\left(\frac{9}{-7}\right)\\= \frac{-15}{11}-\frac{9}{7}\\=\frac{-105}{77}-\frac{99}{77}\\=\frac{-105-99}{77}\\=\frac{-204}{77}\)