Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{-14}\right)+\left(\frac{11}{-6}\right)\\= \frac{11}{14}-\frac{11}{6}\\=\frac{33}{42}-\frac{77}{42}\\=\frac{33-77}{42}\\=\frac{-44}{42}\\=\frac{-22}{21}\)
2. \(+\left(\frac{-10}{11}\right)+\left(\frac{-7}{5}\right)\\= \frac{-10}{11}-\frac{7}{5}\\=\frac{-50}{55}-\frac{77}{55}\\=\frac{-50-77}{55}\\=\frac{-127}{55}\)
3. \(+\left(\frac{5}{14}\right)-\left(\frac{-3}{7}\right)\\= \frac{5}{14}+\frac{3}{7}\\=\frac{5+3}{14}\\=\frac{8}{14}\\=\frac{4}{7}\)
4. \(-\left(\frac{7}{-4}\right)-\left(\frac{-4}{-3}\right)\\= \frac{7}{4}-\frac{4}{3}\\=\frac{21}{12}-\frac{16}{12}\\=\frac{21-16}{12}\\=\frac{5}{12}\)
5. \(-\left(\frac{11}{8}\right)-\left(\frac{-14}{5}\right)\\= \frac{-11}{8}+\frac{14}{5}\\=\frac{-55}{40}+\frac{112}{40}\\=\frac{-55+112}{40}\\=\frac{57}{40}\)
6. \(+\left(\frac{11}{6}\right)+\left(\frac{3}{-11}\right)\\= \frac{11}{6}-\frac{3}{11}\\=\frac{121}{66}-\frac{18}{66}\\=\frac{121-18}{66}\\=\frac{103}{66}\)
7. \(-\left(\frac{3}{8}\right)+\left(\frac{8}{3}\right)\\= \frac{-3}{8}+\frac{8}{3}\\=\frac{-9}{24}+\frac{64}{24}\\=\frac{-9+64}{24}\\=\frac{55}{24}\)
8. \(+\left(\frac{7}{-2}\right)-\left(\frac{11}{7}\right)\\= \frac{-7}{2}-\frac{11}{7}\\=\frac{-49}{14}-\frac{22}{14}\\=\frac{-49-22}{14}\\=\frac{-71}{14}\)
9. \(+\left(\frac{8}{-13}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-8}{13}-\frac{12}{5}\\=\frac{-40}{65}-\frac{156}{65}\\=\frac{-40-156}{65}\\=\frac{-196}{65}\)
10. \(-\left(\frac{2}{3}\right)+\left(\frac{-4}{11}\right)\\= \frac{-2}{3}-\frac{4}{11}\\=\frac{-22}{33}-\frac{12}{33}\\=\frac{-22-12}{33}\\=\frac{-34}{33}\)
11. \(+\left(\frac{3}{7}\right)-\left(\frac{-3}{10}\right)\\= \frac{3}{7}+\frac{3}{10}\\=\frac{30}{70}+\frac{21}{70}\\=\frac{30+21}{70}\\=\frac{51}{70}\)
12. \(-\left(\frac{-2}{9}\right)+\left(\frac{14}{3}\right)\\= \frac{2}{9}+\frac{14}{3}\\=\frac{2+14}{9}\\=\frac{16}{9}\)