Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-5}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-3}{5}+\frac{6}{7}\\=\frac{-21}{35}+\frac{30}{35}\\=\frac{-21+30}{35}\\=\frac{9}{35}\)
2. \(-\left(\frac{-2}{-3}\right)+\left(\frac{14}{9}\right)\\= \frac{-2}{3}+\frac{14}{9}\\=\frac{-6}{9}+\frac{14}{9}\\=\frac{-6+14}{9}\\=\frac{8}{9}\)
3. \(+\left(\frac{12}{11}\right)-\left(\frac{7}{-5}\right)\\= \frac{12}{11}+\frac{7}{5}\\=\frac{60}{55}+\frac{77}{55}\\=\frac{60+77}{55}\\=\frac{137}{55}\)
4. \(-\left(\frac{-8}{5}\right)-\left(\frac{7}{2}\right)\\= \frac{8}{5}-\frac{7}{2}\\=\frac{16}{10}-\frac{35}{10}\\=\frac{16-35}{10}\\=\frac{-19}{10}\)
5. \(-\left(\frac{8}{13}\right)-\left(\frac{-13}{-4}\right)\\= \frac{-8}{13}-\frac{13}{4}\\=\frac{-32}{52}-\frac{169}{52}\\=\frac{-32-169}{52}\\=\frac{-201}{52}\)
6. \(-\left(\frac{13}{-2}\right)+\left(\frac{7}{11}\right)\\= \frac{13}{2}+\frac{7}{11}\\=\frac{143}{22}+\frac{14}{22}\\=\frac{143+14}{22}\\=\frac{157}{22}\)
7. \(-\left(\frac{-11}{-5}\right)-\left(\frac{-11}{-13}\right)\\= \frac{-11}{5}-\frac{11}{13}\\=\frac{-143}{65}-\frac{55}{65}\\=\frac{-143-55}{65}\\=\frac{-198}{65}\)
8. \(+\left(\frac{10}{13}\right)+\left(\frac{-12}{-11}\right)\\= \frac{10}{13}+\frac{12}{11}\\=\frac{110}{143}+\frac{156}{143}\\=\frac{110+156}{143}\\=\frac{266}{143}\)
9. \(+\left(\frac{-12}{13}\right)+\left(\frac{3}{4}\right)\\= \frac{-12}{13}+\frac{3}{4}\\=\frac{-48}{52}+\frac{39}{52}\\=\frac{-48+39}{52}\\=\frac{-9}{52}\)
10. \(+\left(\frac{3}{2}\right)-\left(\frac{8}{13}\right)\\= \frac{3}{2}-\frac{8}{13}\\=\frac{39}{26}-\frac{16}{26}\\=\frac{39-16}{26}\\=\frac{23}{26}\)
11. \(+\left(\frac{8}{3}\right)-\left(\frac{3}{14}\right)\\= \frac{8}{3}-\frac{3}{14}\\=\frac{112}{42}-\frac{9}{42}\\=\frac{112-9}{42}\\=\frac{103}{42}\)
12. \(-\left(\frac{8}{9}\right)-\left(\frac{-4}{5}\right)\\= \frac{-8}{9}+\frac{4}{5}\\=\frac{-40}{45}+\frac{36}{45}\\=\frac{-40+36}{45}\\=\frac{-4}{45}\)