Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{5}\right) -\left(\frac{10}{-2}\right) -\left(\frac{-3}{6}\right)\\= \frac{-4}{5}+ \frac{10}{2}+\frac{3}{6}\\=\frac{-4}{5}+\frac{5}{1}+\frac{1}{2}\\=\frac{-8}{10}+\frac{50}{10}+\frac{5}{10}\\=\frac{-8+50+5}{10}\\=\frac{47}{10}\)
2. \(+\left(\frac{-2}{-5}\right) -\left(\frac{4}{3}\right) +\left(\frac{-5}{-11}\right)\\= \frac{2}{5}- \frac{4}{3}+\frac{5}{11}\\=\frac{66}{165}-\frac{220}{165}+\frac{75}{165}\\=\frac{66-220+75}{165}\\=\frac{-79}{165}\)
3. \(+\left(\frac{-8}{-3}\right) -\left(\frac{5}{10}\right) -\left(\frac{-11}{4}\right)\\= \frac{8}{3}- \frac{5}{10}+\frac{11}{4}\\=\frac{8}{3}-\frac{1}{2}+\frac{11}{4}\\=\frac{32}{12}-\frac{6}{12}+\frac{33}{12}\\=\frac{32-6+33}{12}\\=\frac{59}{12}\)
4. \(-\left(\frac{-5}{-6}\right) +\left(\frac{3}{-10}\right) +\left(\frac{11}{-8}\right)\\= \frac{-5}{6}- \frac{3}{10}-\frac{11}{8}\\=\frac{-100}{120}-\frac{36}{120}-\frac{165}{120}\\=\frac{-100-36-165}{120}\\=\frac{-301}{120}\)
5. \(+\left(\frac{-4}{-3}\right) +\left(\frac{4}{5}\right) +\left(\frac{-8}{11}\right)\\= \frac{4}{3}+ \frac{4}{5}-\frac{8}{11}\\=\frac{220}{165}+\frac{132}{165}-\frac{120}{165}\\=\frac{220+132-120}{165}\\=\frac{232}{165}\)
6. \(+\left(\frac{6}{7}\right) +\left(\frac{4}{-5}\right) -\left(\frac{12}{3}\right)\\= \frac{6}{7}- \frac{4}{5}-\frac{12}{3}\\=\frac{6}{7}-\frac{4}{5}-\frac{4}{1}\\=\frac{30}{35}-\frac{28}{35}-\frac{140}{35}\\=\frac{30-28-140}{35}\\=\frac{-138}{35}\)
7. \(-\left(\frac{-6}{5}\right) +\left(\frac{5}{3}\right) +\left(\frac{6}{9}\right)\\= \frac{6}{5}+ \frac{5}{3}+\frac{6}{9}\\=\frac{6}{5}+\frac{5}{3}+\frac{2}{3}\\=\frac{18}{15}+\frac{25}{15}+\frac{10}{15}\\=\frac{18+25+10}{15}\\=\frac{53}{15}\)
8. \(+\left(\frac{6}{-5}\right) +\left(\frac{6}{-2}\right) +\left(\frac{11}{-9}\right)\\= \frac{-6}{5}- \frac{6}{2}-\frac{11}{9}\\=\frac{-6}{5}-\frac{3}{1}-\frac{11}{9}\\=\frac{-54}{45}-\frac{135}{45}-\frac{55}{45}\\=\frac{-54-135-55}{45}\\=\frac{-244}{45}\)
9. \(-\left(\frac{6}{-5}\right) +\left(\frac{7}{-9}\right) -\left(\frac{-3}{-9}\right)\\= \frac{6}{5}- \frac{7}{9}-\frac{3}{9}\\=\frac{6}{5}-\frac{7}{9}-\frac{1}{3}\\=\frac{54}{45}-\frac{35}{45}-\frac{15}{45}\\=\frac{54-35-15}{45}\\=\frac{4}{45}\)
10. \(+\left(\frac{9}{-7}\right) +\left(\frac{2}{-10}\right) -\left(\frac{-6}{-10}\right)\\= \frac{-9}{7}- \frac{2}{10}-\frac{6}{10}\\=\frac{-9}{7}-\frac{1}{5}-\frac{3}{5}\\=\frac{-45}{35}-\frac{7}{35}-\frac{21}{35}\\=\frac{-45-7-21}{35}\\=\frac{-73}{35}\)
11. \(-\left(\frac{-7}{-8}\right) +\left(\frac{-4}{-8}\right) +\left(\frac{-4}{7}\right)\\= \frac{-7}{8}+ \frac{4}{8}-\frac{4}{7}\\=\frac{-7}{8}+\frac{1}{2}-\frac{4}{7}\\=\frac{-49}{56}+\frac{28}{56}-\frac{32}{56}\\=\frac{-49+28-32}{56}\\=\frac{-53}{56}\)
12. \(+\left(\frac{7}{-6}\right) +\left(\frac{-8}{-8}\right) -\left(\frac{-11}{-9}\right)\\= \frac{-7}{6}+ \frac{8}{8}-\frac{11}{9}\\=\frac{-7}{6}+\frac{1}{1}-\frac{11}{9}\\=\frac{-21}{18}+\frac{18}{18}-\frac{22}{18}\\=\frac{-21+18-22}{18}\\=\frac{-25}{18}\)