Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{-2}\right) -\left(\frac{-9}{-5}\right) -\left(\frac{-8}{2}\right)\\= \frac{-9}{2}- \frac{9}{5}+\frac{8}{2}\\=\frac{-9}{2}-\frac{9}{5}+\frac{4}{1}\\=\frac{-45}{10}-\frac{18}{10}+\frac{40}{10}\\=\frac{-45-18+40}{10}\\=\frac{-23}{10}\)
2. \(+\left(\frac{9}{2}\right) -\left(\frac{-4}{-6}\right) -\left(\frac{7}{11}\right)\\= \frac{9}{2}- \frac{4}{6}-\frac{7}{11}\\=\frac{9}{2}-\frac{2}{3}-\frac{7}{11}\\=\frac{297}{66}-\frac{44}{66}-\frac{42}{66}\\=\frac{297-44-42}{66}\\=\frac{211}{66}\)
3. \(+\left(\frac{7}{2}\right) -\left(\frac{10}{7}\right) +\left(\frac{-6}{8}\right)\\= \frac{7}{2}- \frac{10}{7}-\frac{6}{8}\\=\frac{7}{2}-\frac{10}{7}-\frac{3}{4}\\=\frac{98}{28}-\frac{40}{28}-\frac{21}{28}\\=\frac{98-40-21}{28}\\=\frac{37}{28}\)
4. \(-\left(\frac{9}{7}\right) -\left(\frac{10}{-7}\right) -\left(\frac{-5}{-4}\right)\\= \frac{-9}{7}+ \frac{10}{7}-\frac{5}{4}\\=\frac{-36}{28}+\frac{40}{28}-\frac{35}{28}\\=\frac{-36+40-35}{28}\\=\frac{-31}{28}\)
5. \(+\left(\frac{5}{8}\right) -\left(\frac{6}{2}\right) +\left(\frac{-5}{-2}\right)\\= \frac{5}{8}- \frac{6}{2}+\frac{5}{2}\\=\frac{5}{8}-\frac{3}{1}+\frac{5}{2}\\=\frac{5-3+5}{8}\\=\frac{7}{8}\)
6. \(-\left(\frac{-6}{-5}\right) +\left(\frac{9}{-4}\right) +\left(\frac{-11}{-2}\right)\\= \frac{-6}{5}- \frac{9}{4}+\frac{11}{2}\\=\frac{-24}{20}-\frac{45}{20}+\frac{110}{20}\\=\frac{-24-45+110}{20}\\=\frac{41}{20}\)
7. \(+\left(\frac{6}{5}\right) +\left(\frac{7}{8}\right) +\left(\frac{6}{-6}\right)\\= \frac{6}{5}+ \frac{7}{8}-\frac{6}{6}\\=\frac{6}{5}+\frac{7}{8}-\frac{1}{1}\\=\frac{48}{40}+\frac{35}{40}-\frac{40}{40}\\=\frac{48+35-40}{40}\\=\frac{43}{40}\)
8. \(-\left(\frac{-4}{-3}\right) +\left(\frac{5}{-5}\right) +\left(\frac{-8}{-9}\right)\\= \frac{-4}{3}- \frac{5}{5}+\frac{8}{9}\\=\frac{-4}{3}-\frac{1}{1}+\frac{8}{9}\\=\frac{-12}{9}-\frac{9}{9}+\frac{8}{9}\\=\frac{-12-9+8}{9}\\=\frac{-13}{9}\)
9. \(-\left(\frac{-8}{9}\right) +\left(\frac{6}{-4}\right) +\left(\frac{-2}{-2}\right)\\= \frac{8}{9}- \frac{6}{4}+\frac{2}{2}\\=\frac{8}{9}-\frac{3}{2}+\frac{1}{1}\\=\frac{16}{18}-\frac{27}{18}+\frac{18}{18}\\=\frac{16-27+18}{18}\\=\frac{7}{18}\)
10. \(+\left(\frac{-6}{-5}\right) +\left(\frac{-3}{10}\right) +\left(\frac{-12}{-4}\right)\\= \frac{6}{5}- \frac{3}{10}+\frac{12}{4}\\=\frac{6}{5}-\frac{3}{10}+\frac{3}{1}\\=\frac{12}{10}-\frac{3}{10}+\frac{30}{10}\\=\frac{12-3+30}{10}\\=\frac{39}{10}\)
11. \(-\left(\frac{7}{3}\right) +\left(\frac{10}{9}\right) -\left(\frac{-12}{4}\right)\\= \frac{-7}{3}+ \frac{10}{9}+\frac{12}{4}\\=\frac{-7}{3}+\frac{10}{9}+\frac{3}{1}\\=\frac{-21}{9}+\frac{10}{9}+\frac{27}{9}\\=\frac{-21+10+27}{9}\\=\frac{16}{9}\)
12. \(+\left(\frac{10}{3}\right) +\left(\frac{8}{-3}\right) -\left(\frac{2}{-6}\right)\\= \frac{10}{3}- \frac{8}{3}+\frac{2}{6}\\=\frac{10}{3}-\frac{8}{3}+\frac{1}{3}\\=\frac{10-8+1}{3}\\=\frac{3}{3}\\=\frac{1}{1}\)