Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{9}\right) -\left(\frac{6}{-2}\right) -\left(\frac{6}{11}\right)\\= \frac{8}{9}+ \frac{6}{2}-\frac{6}{11}\\=\frac{8}{9}+\frac{3}{1}-\frac{6}{11}\\=\frac{88}{99}+\frac{297}{99}-\frac{54}{99}\\=\frac{88+297-54}{99}\\=\frac{331}{99}\)
2. \(-\left(\frac{5}{8}\right) +\left(\frac{2}{6}\right) -\left(\frac{-9}{-9}\right)\\= \frac{-5}{8}+ \frac{2}{6}-\frac{9}{9}\\=\frac{-5}{8}+\frac{1}{3}-\frac{1}{1}\\=\frac{-15}{24}+\frac{8}{24}-\frac{24}{24}\\=\frac{-15+8-24}{24}\\=\frac{-31}{24}\)
3. \(-\left(\frac{5}{-2}\right) +\left(\frac{-8}{10}\right) -\left(\frac{9}{5}\right)\\= \frac{5}{2}- \frac{8}{10}-\frac{9}{5}\\=\frac{5}{2}-\frac{4}{5}-\frac{9}{5}\\=\frac{25}{10}-\frac{8}{10}-\frac{18}{10}\\=\frac{25-8-18}{10}\\=\frac{-1}{10}\)
4. \(+\left(\frac{10}{-9}\right) -\left(\frac{2}{-4}\right) +\left(\frac{-6}{-2}\right)\\= \frac{-10}{9}+ \frac{2}{4}+\frac{6}{2}\\=\frac{-10}{9}+\frac{1}{2}+\frac{3}{1}\\=\frac{-20}{18}+\frac{9}{18}+\frac{54}{18}\\=\frac{-20+9+54}{18}\\=\frac{43}{18}\)
5. \(-\left(\frac{2}{7}\right) +\left(\frac{3}{-6}\right) -\left(\frac{12}{7}\right)\\= \frac{-2}{7}- \frac{3}{6}-\frac{12}{7}\\=\frac{-2}{7}-\frac{1}{2}-\frac{12}{7}\\=\frac{-4}{14}-\frac{7}{14}-\frac{24}{14}\\=\frac{-4-7-24}{14}\\=\frac{-35}{14}\\=\frac{-5}{2}\)
6. \(-\left(\frac{-3}{2}\right) -\left(\frac{7}{-10}\right) +\left(\frac{-5}{9}\right)\\= \frac{3}{2}+ \frac{7}{10}-\frac{5}{9}\\=\frac{135}{90}+\frac{63}{90}-\frac{50}{90}\\=\frac{135+63-50}{90}\\=\frac{148}{90}\\=\frac{74}{45}\)
7. \(+\left(\frac{-2}{9}\right) -\left(\frac{7}{-8}\right) +\left(\frac{5}{12}\right)\\= \frac{-2}{9}+ \frac{7}{8}+\frac{5}{12}\\=\frac{-16}{72}+\frac{63}{72}+\frac{30}{72}\\=\frac{-16+63+30}{72}\\=\frac{77}{72}\)
8. \(+\left(\frac{-10}{7}\right) -\left(\frac{4}{-6}\right) -\left(\frac{2}{4}\right)\\= \frac{-10}{7}+ \frac{4}{6}-\frac{2}{4}\\=\frac{-10}{7}+\frac{2}{3}-\frac{1}{2}\\=\frac{-60}{42}+\frac{28}{42}-\frac{21}{42}\\=\frac{-60+28-21}{42}\\=\frac{-53}{42}\)
9. \(-\left(\frac{-9}{7}\right) +\left(\frac{-4}{-8}\right) +\left(\frac{-6}{-4}\right)\\= \frac{9}{7}+ \frac{4}{8}+\frac{6}{4}\\=\frac{9}{7}+\frac{1}{2}+\frac{3}{2}\\=\frac{18}{14}+\frac{7}{14}+\frac{21}{14}\\=\frac{18+7+21}{14}\\=\frac{46}{14}\\=\frac{23}{7}\)
10. \(-\left(\frac{-7}{-9}\right) -\left(\frac{3}{5}\right) -\left(\frac{-6}{9}\right)\\= \frac{-7}{9}- \frac{3}{5}+\frac{6}{9}\\=\frac{-7}{9}-\frac{3}{5}+\frac{2}{3}\\=\frac{-35}{45}-\frac{27}{45}+\frac{30}{45}\\=\frac{-35-27+30}{45}\\=\frac{-32}{45}\)
11. \(-\left(\frac{3}{8}\right) -\left(\frac{-7}{8}\right) -\left(\frac{-7}{-11}\right)\\= \frac{-3}{8}+ \frac{7}{8}-\frac{7}{11}\\=\frac{-33}{88}+\frac{77}{88}-\frac{56}{88}\\=\frac{-33+77-56}{88}\\=\frac{-12}{88}\\=\frac{-3}{22}\)
12. \(+\left(\frac{9}{-2}\right) +\left(\frac{-6}{-3}\right) -\left(\frac{7}{5}\right)\\= \frac{-9}{2}+ \frac{6}{3}-\frac{7}{5}\\=\frac{-9}{2}+\frac{2}{1}-\frac{7}{5}\\=\frac{-45}{10}+\frac{20}{10}-\frac{14}{10}\\=\frac{-45+20-14}{10}\\=\frac{-39}{10}\)