Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{9}\right)+\left(\frac{-7}{12}\right)\\= \frac{14}{9}-\frac{7}{12}\\=\frac{56}{36}-\frac{21}{36}\\=\frac{56-21}{36}\\=\frac{35}{36}\)
2. \(-\left(\frac{8}{-5}\right)+\left(\frac{-8}{-9}\right)\\= \frac{8}{5}+\frac{8}{9}\\=\frac{72}{45}+\frac{40}{45}\\=\frac{72+40}{45}\\=\frac{112}{45}\)
3. \(+\left(\frac{-3}{-2}\right)-\left(\frac{-13}{-11}\right)\\= \frac{3}{2}-\frac{13}{11}\\=\frac{33}{22}-\frac{26}{22}\\=\frac{33-26}{22}\\=\frac{7}{22}\)
4. \(-\left(\frac{4}{-3}\right)+\left(\frac{14}{3}\right)\\= \frac{4}{3}+\frac{14}{3}\\=\frac{4+14}{3}\\=\frac{18}{3}\\=\frac{6}{1}\)
5. \(+\left(\frac{-9}{10}\right)-\left(\frac{10}{11}\right)\\= \frac{-9}{10}-\frac{10}{11}\\=\frac{-99}{110}-\frac{100}{110}\\=\frac{-99-100}{110}\\=\frac{-199}{110}\)
6. \(+\left(\frac{14}{-13}\right)-\left(\frac{7}{8}\right)\\= \frac{-14}{13}-\frac{7}{8}\\=\frac{-112}{104}-\frac{91}{104}\\=\frac{-112-91}{104}\\=\frac{-203}{104}\)
7. \(-\left(\frac{-12}{5}\right)+\left(\frac{15}{2}\right)\\= \frac{12}{5}+\frac{15}{2}\\=\frac{24}{10}+\frac{75}{10}\\=\frac{24+75}{10}\\=\frac{99}{10}\)
8. \(+\left(\frac{8}{9}\right)-\left(\frac{-9}{-2}\right)\\= \frac{8}{9}-\frac{9}{2}\\=\frac{16}{18}-\frac{81}{18}\\=\frac{16-81}{18}\\=\frac{-65}{18}\)
9. \(+\left(\frac{-3}{-4}\right)-\left(\frac{-14}{9}\right)\\= \frac{3}{4}+\frac{14}{9}\\=\frac{27}{36}+\frac{56}{36}\\=\frac{27+56}{36}\\=\frac{83}{36}\)
10. \(+\left(\frac{6}{-11}\right)+\left(\frac{-9}{-13}\right)\\= \frac{-6}{11}+\frac{9}{13}\\=\frac{-78}{143}+\frac{99}{143}\\=\frac{-78+99}{143}\\=\frac{21}{143}\)
11. \(-\left(\frac{10}{13}\right)+\left(\frac{5}{2}\right)\\= \frac{-10}{13}+\frac{5}{2}\\=\frac{-20}{26}+\frac{65}{26}\\=\frac{-20+65}{26}\\=\frac{45}{26}\)
12. \(+\left(\frac{-3}{4}\right)+\left(\frac{12}{5}\right)\\= \frac{-3}{4}+\frac{12}{5}\\=\frac{-15}{20}+\frac{48}{20}\\=\frac{-15+48}{20}\\=\frac{33}{20}\)