Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{2}\right)-\left(\frac{-9}{-14}\right)\\= \frac{-13}{2}-\frac{9}{14}\\=\frac{-91}{14}-\frac{9}{14}\\=\frac{-91-9}{14}\\=\frac{-100}{14}\\=\frac{-50}{7}\)
2. \(+\left(\frac{15}{11}\right)+\left(\frac{15}{-13}\right)\\= \frac{15}{11}-\frac{15}{13}\\=\frac{195}{143}-\frac{165}{143}\\=\frac{195-165}{143}\\=\frac{30}{143}\)
3. \(+\left(\frac{11}{-7}\right)+\left(\frac{-5}{-9}\right)\\= \frac{-11}{7}+\frac{5}{9}\\=\frac{-99}{63}+\frac{35}{63}\\=\frac{-99+35}{63}\\=\frac{-64}{63}\)
4. \(-\left(\frac{-7}{-5}\right)-\left(\frac{8}{11}\right)\\= \frac{-7}{5}-\frac{8}{11}\\=\frac{-77}{55}-\frac{40}{55}\\=\frac{-77-40}{55}\\=\frac{-117}{55}\)
5. \(+\left(\frac{14}{-3}\right)+\left(\frac{-14}{9}\right)\\= \frac{-14}{3}-\frac{14}{9}\\=\frac{-42}{9}-\frac{14}{9}\\=\frac{-42-14}{9}\\=\frac{-56}{9}\)
6. \(+\left(\frac{-11}{2}\right)+\left(\frac{-2}{-5}\right)\\= \frac{-11}{2}+\frac{2}{5}\\=\frac{-55}{10}+\frac{4}{10}\\=\frac{-55+4}{10}\\=\frac{-51}{10}\)
7. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-8}{-7}\right)\\= \frac{2}{3}-\frac{8}{7}\\=\frac{14}{21}-\frac{24}{21}\\=\frac{14-24}{21}\\=\frac{-10}{21}\)
8. \(-\left(\frac{3}{-8}\right)-\left(\frac{-10}{-7}\right)\\= \frac{3}{8}-\frac{10}{7}\\=\frac{21}{56}-\frac{80}{56}\\=\frac{21-80}{56}\\=\frac{-59}{56}\)
9. \(+\left(\frac{14}{9}\right)-\left(\frac{4}{-5}\right)\\= \frac{14}{9}+\frac{4}{5}\\=\frac{70}{45}+\frac{36}{45}\\=\frac{70+36}{45}\\=\frac{106}{45}\)
10. \(-\left(\frac{7}{-6}\right)-\left(\frac{-13}{-9}\right)\\= \frac{7}{6}-\frac{13}{9}\\=\frac{21}{18}-\frac{26}{18}\\=\frac{21-26}{18}\\=\frac{-5}{18}\)
11. \(-\left(\frac{-14}{9}\right)-\left(\frac{2}{-5}\right)\\= \frac{14}{9}+\frac{2}{5}\\=\frac{70}{45}+\frac{18}{45}\\=\frac{70+18}{45}\\=\frac{88}{45}\)
12. \(-\left(\frac{-3}{-10}\right)-\left(\frac{4}{-7}\right)\\= \frac{-3}{10}+\frac{4}{7}\\=\frac{-21}{70}+\frac{40}{70}\\=\frac{-21+40}{70}\\=\frac{19}{70}\)