Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{-7}\right) -\left(\frac{10}{3}\right) -\left(\frac{-4}{-9}\right)\\= \frac{-6}{7}- \frac{10}{3}-\frac{4}{9}\\=\frac{-54}{63}-\frac{210}{63}-\frac{28}{63}\\=\frac{-54-210-28}{63}\\=\frac{-292}{63}\)
2. \(+\left(\frac{2}{9}\right) +\left(\frac{-3}{7}\right) -\left(\frac{-8}{-3}\right)\\= \frac{2}{9}- \frac{3}{7}-\frac{8}{3}\\=\frac{14}{63}-\frac{27}{63}-\frac{168}{63}\\=\frac{14-27-168}{63}\\=\frac{-181}{63}\)
3. \(-\left(\frac{4}{3}\right) -\left(\frac{-9}{-6}\right) -\left(\frac{-9}{9}\right)\\= \frac{-4}{3}- \frac{9}{6}+\frac{9}{9}\\=\frac{-4}{3}-\frac{3}{2}+\frac{1}{1}\\=\frac{-8}{6}-\frac{9}{6}+\frac{6}{6}\\=\frac{-8-9+6}{6}\\=\frac{-11}{6}\)
4. \(+\left(\frac{5}{7}\right) -\left(\frac{9}{7}\right) -\left(\frac{-7}{-6}\right)\\= \frac{5}{7}- \frac{9}{7}-\frac{7}{6}\\=\frac{30}{42}-\frac{54}{42}-\frac{49}{42}\\=\frac{30-54-49}{42}\\=\frac{-73}{42}\)
5. \(-\left(\frac{10}{3}\right) -\left(\frac{9}{6}\right) +\left(\frac{-6}{4}\right)\\= \frac{-10}{3}- \frac{9}{6}-\frac{6}{4}\\=\frac{-10}{3}-\frac{3}{2}-\frac{3}{2}\\=\frac{-20}{6}-\frac{9}{6}-\frac{9}{6}\\=\frac{-20-9-9}{6}\\=\frac{-38}{6}\\=\frac{-19}{3}\)
6. \(-\left(\frac{-9}{-2}\right) -\left(\frac{-8}{9}\right) +\left(\frac{-3}{-7}\right)\\= \frac{-9}{2}+ \frac{8}{9}+\frac{3}{7}\\=\frac{-567}{126}+\frac{112}{126}+\frac{54}{126}\\=\frac{-567+112+54}{126}\\=\frac{-401}{126}\)
7. \(+\left(\frac{7}{3}\right) +\left(\frac{-2}{-3}\right) -\left(\frac{4}{-6}\right)\\= \frac{7}{3}+ \frac{2}{3}+\frac{4}{6}\\=\frac{7}{3}+\frac{2}{3}+\frac{2}{3}\\=\frac{7+2+2}{3}\\=\frac{11}{3}\)
8. \(-\left(\frac{2}{-9}\right) -\left(\frac{-7}{8}\right) -\left(\frac{-12}{9}\right)\\= \frac{2}{9}+ \frac{7}{8}+\frac{12}{9}\\=\frac{2}{9}+\frac{7}{8}+\frac{4}{3}\\=\frac{16}{72}+\frac{63}{72}+\frac{96}{72}\\=\frac{16+63+96}{72}\\=\frac{175}{72}\)
9. \(-\left(\frac{2}{-5}\right) -\left(\frac{6}{6}\right) -\left(\frac{-9}{-10}\right)\\= \frac{2}{5}- \frac{6}{6}-\frac{9}{10}\\=\frac{2}{5}-\frac{1}{1}-\frac{9}{10}\\=\frac{4}{10}-\frac{10}{10}-\frac{9}{10}\\=\frac{4-10-9}{10}\\=\frac{-15}{10}\\=\frac{-3}{2}\)
10. \(+\left(\frac{8}{-3}\right) -\left(\frac{-10}{2}\right) +\left(\frac{-3}{-8}\right)\\= \frac{-8}{3}+ \frac{10}{2}+\frac{3}{8}\\=\frac{-8}{3}+\frac{5}{1}+\frac{3}{8}\\=\frac{-64}{24}+\frac{120}{24}+\frac{9}{24}\\=\frac{-64+120+9}{24}\\=\frac{65}{24}\)
11. \(+\left(\frac{5}{-2}\right) -\left(\frac{-5}{-7}\right) +\left(\frac{10}{2}\right)\\= \frac{-5}{2}- \frac{5}{7}+\frac{10}{2}\\=\frac{-5}{2}-\frac{5}{7}+\frac{5}{1}\\=\frac{-35}{14}-\frac{10}{14}+\frac{70}{14}\\=\frac{-35-10+70}{14}\\=\frac{25}{14}\)
12. \(+\left(\frac{6}{5}\right) +\left(\frac{-2}{9}\right) -\left(\frac{-11}{10}\right)\\= \frac{6}{5}- \frac{2}{9}+\frac{11}{10}\\=\frac{108}{90}-\frac{20}{90}+\frac{99}{90}\\=\frac{108-20+99}{90}\\=\frac{187}{90}\)