Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{8}\right) +\left(\frac{8}{-7}\right) -\left(\frac{-8}{11}\right)\\= \frac{9}{8}- \frac{8}{7}+\frac{8}{11}\\=\frac{693}{616}-\frac{704}{616}+\frac{448}{616}\\=\frac{693-704+448}{616}\\=\frac{437}{616}\)
2. \(+\left(\frac{-9}{4}\right) +\left(\frac{10}{-10}\right) +\left(\frac{3}{-7}\right)\\= \frac{-9}{4}- \frac{10}{10}-\frac{3}{7}\\=\frac{-9}{4}-\frac{1}{1}-\frac{3}{7}\\=\frac{-63}{28}-\frac{28}{28}-\frac{12}{28}\\=\frac{-63-28-12}{28}\\=\frac{-103}{28}\)
3. \(+\left(\frac{-6}{-7}\right) +\left(\frac{-4}{8}\right) +\left(\frac{5}{2}\right)\\= \frac{6}{7}- \frac{4}{8}+\frac{5}{2}\\=\frac{6}{7}-\frac{1}{2}+\frac{5}{2}\\=\frac{12}{14}-\frac{7}{14}+\frac{35}{14}\\=\frac{12-7+35}{14}\\=\frac{40}{14}\\=\frac{20}{7}\)
4. \(-\left(\frac{-6}{7}\right) +\left(\frac{6}{-6}\right) -\left(\frac{9}{-2}\right)\\= \frac{6}{7}- \frac{6}{6}+\frac{9}{2}\\=\frac{6}{7}-\frac{1}{1}+\frac{9}{2}\\=\frac{12}{14}-\frac{14}{14}+\frac{63}{14}\\=\frac{12-14+63}{14}\\=\frac{61}{14}\)
5. \(-\left(\frac{-3}{-5}\right) +\left(\frac{7}{2}\right) +\left(\frac{-3}{-10}\right)\\= \frac{-3}{5}+ \frac{7}{2}+\frac{3}{10}\\=\frac{-6}{10}+\frac{35}{10}+\frac{3}{10}\\=\frac{-6+35+3}{10}\\=\frac{32}{10}\\=\frac{16}{5}\)
6. \(-\left(\frac{-3}{2}\right) +\left(\frac{-5}{8}\right) -\left(\frac{-3}{4}\right)\\= \frac{3}{2}- \frac{5}{8}+\frac{3}{4}\\=\frac{12}{8}-\frac{5}{8}+\frac{6}{8}\\=\frac{12-5+6}{8}\\=\frac{13}{8}\)
7. \(+\left(\frac{-8}{9}\right) +\left(\frac{-10}{3}\right) -\left(\frac{-5}{-3}\right)\\= \frac{-8}{9}- \frac{10}{3}-\frac{5}{3}\\=\frac{-8-10-5}{9}\\=\frac{-23}{9}\)
8. \(+\left(\frac{10}{-7}\right) -\left(\frac{9}{6}\right) -\left(\frac{4}{12}\right)\\= \frac{-10}{7}- \frac{9}{6}-\frac{4}{12}\\=\frac{-10}{7}-\frac{3}{2}-\frac{1}{3}\\=\frac{-60}{42}-\frac{63}{42}-\frac{14}{42}\\=\frac{-60-63-14}{42}\\=\frac{-137}{42}\)
9. \(-\left(\frac{-8}{-9}\right) -\left(\frac{-4}{-5}\right) -\left(\frac{-11}{9}\right)\\= \frac{-8}{9}- \frac{4}{5}+\frac{11}{9}\\=\frac{-40}{45}-\frac{36}{45}+\frac{55}{45}\\=\frac{-40-36+55}{45}\\=\frac{-21}{45}\\=\frac{-7}{15}\)
10. \(+\left(\frac{7}{-9}\right) +\left(\frac{9}{-7}\right) -\left(\frac{4}{8}\right)\\= \frac{-7}{9}- \frac{9}{7}-\frac{4}{8}\\=\frac{-7}{9}-\frac{9}{7}-\frac{1}{2}\\=\frac{-98}{126}-\frac{162}{126}-\frac{63}{126}\\=\frac{-98-162-63}{126}\\=\frac{-323}{126}\)
11. \(-\left(\frac{5}{2}\right) -\left(\frac{-6}{10}\right) +\left(\frac{-10}{6}\right)\\= \frac{-5}{2}+ \frac{6}{10}-\frac{10}{6}\\=\frac{-5}{2}+\frac{3}{5}-\frac{5}{3}\\=\frac{-75}{30}+\frac{18}{30}-\frac{50}{30}\\=\frac{-75+18-50}{30}\\=\frac{-107}{30}\)
12. \(-\left(\frac{-3}{7}\right) +\left(\frac{10}{8}\right) -\left(\frac{2}{-10}\right)\\= \frac{3}{7}+ \frac{10}{8}+\frac{2}{10}\\=\frac{3}{7}+\frac{5}{4}+\frac{1}{5}\\=\frac{60}{140}+\frac{175}{140}+\frac{28}{140}\\=\frac{60+175+28}{140}\\=\frac{263}{140}\)