Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer 

Bereken

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

Bereken

Verbetersleutel

  1. \(+\left(\frac{8}{-9}\right) -\left(\frac{7}{6}\right) -\left(\frac{8}{9}\right)\\= \frac{-8}{9}- \frac{7}{6}-\frac{8}{9}\\=\frac{-16}{18}-\frac{21}{18}-\frac{16}{18}\\=\frac{-16-21-16}{18}\\=\frac{-53}{18}\)
  2. \(-\left(\frac{-10}{9}\right) +\left(\frac{9}{-4}\right) +\left(\frac{2}{-7}\right)\\= \frac{10}{9}- \frac{9}{4}-\frac{2}{7}\\=\frac{280}{252}-\frac{567}{252}-\frac{72}{252}\\=\frac{280-567-72}{252}\\=\frac{-359}{252}\)
  3. \(-\left(\frac{6}{7}\right) -\left(\frac{9}{-5}\right) +\left(\frac{-4}{-4}\right)\\= \frac{-6}{7}+ \frac{9}{5}+\frac{4}{4}\\=\frac{-6}{7}+\frac{9}{5}+\frac{1}{1}\\=\frac{-30}{35}+\frac{63}{35}+\frac{35}{35}\\=\frac{-30+63+35}{35}\\=\frac{68}{35}\)
  4. \(-\left(\frac{6}{7}\right) -\left(\frac{-4}{-2}\right) -\left(\frac{3}{9}\right)\\= \frac{-6}{7}- \frac{4}{2}-\frac{3}{9}\\=\frac{-6}{7}-\frac{2}{1}-\frac{1}{3}\\=\frac{-18}{21}-\frac{42}{21}-\frac{7}{21}\\=\frac{-18-42-7}{21}\\=\frac{-67}{21}\)
  5. \(-\left(\frac{-9}{2}\right) +\left(\frac{7}{-3}\right) +\left(\frac{10}{3}\right)\\= \frac{9}{2}- \frac{7}{3}+\frac{10}{3}\\=\frac{27}{6}-\frac{14}{6}+\frac{20}{6}\\=\frac{27-14+20}{6}\\=\frac{33}{6}\\=\frac{11}{2}\)
  6. \(+\left(\frac{4}{-5}\right) +\left(\frac{10}{3}\right) -\left(\frac{-4}{6}\right)\\= \frac{-4}{5}+ \frac{10}{3}+\frac{4}{6}\\=\frac{-4}{5}+\frac{10}{3}+\frac{2}{3}\\=\frac{-12}{15}+\frac{50}{15}+\frac{10}{15}\\=\frac{-12+50+10}{15}\\=\frac{48}{15}\\=\frac{16}{5}\)
  7. \(-\left(\frac{3}{-8}\right) -\left(\frac{3}{2}\right) -\left(\frac{-9}{12}\right)\\= \frac{3}{8}- \frac{3}{2}+\frac{9}{12}\\=\frac{3}{8}-\frac{3}{2}+\frac{3}{4}\\=\frac{3-3+3}{8}\\=\frac{3}{8}\)
  8. \(+\left(\frac{-2}{-3}\right) -\left(\frac{-2}{-4}\right) +\left(\frac{-4}{7}\right)\\= \frac{2}{3}- \frac{2}{4}-\frac{4}{7}\\=\frac{2}{3}-\frac{1}{2}-\frac{4}{7}\\=\frac{28}{42}-\frac{21}{42}-\frac{24}{42}\\=\frac{28-21-24}{42}\\=\frac{-17}{42}\)
  9. \(-\left(\frac{7}{-5}\right) +\left(\frac{3}{5}\right) -\left(\frac{8}{-12}\right)\\= \frac{7}{5}+ \frac{3}{5}+\frac{8}{12}\\=\frac{7}{5}+\frac{3}{5}+\frac{2}{3}\\=\frac{21}{15}+\frac{9}{15}+\frac{10}{15}\\=\frac{21+9+10}{15}\\=\frac{40}{15}\\=\frac{8}{3}\)
  10. \(+\left(\frac{3}{10}\right) +\left(\frac{-5}{8}\right) +\left(\frac{12}{2}\right)\\= \frac{3}{10}- \frac{5}{8}+\frac{12}{2}\\=\frac{3}{10}-\frac{5}{8}+\frac{6}{1}\\=\frac{12}{40}-\frac{25}{40}+\frac{240}{40}\\=\frac{12-25+240}{40}\\=\frac{227}{40}\)
  11. \(+\left(\frac{-5}{4}\right) -\left(\frac{-8}{-5}\right) -\left(\frac{6}{-10}\right)\\= \frac{-5}{4}- \frac{8}{5}+\frac{6}{10}\\=\frac{-5}{4}-\frac{8}{5}+\frac{3}{5}\\=\frac{-25}{20}-\frac{32}{20}+\frac{12}{20}\\=\frac{-25-32+12}{20}\\=\frac{-45}{20}\\=\frac{-9}{4}\)
  12. \(-\left(\frac{3}{-5}\right) -\left(\frac{6}{8}\right) -\left(\frac{9}{-10}\right)\\= \frac{3}{5}- \frac{6}{8}+\frac{9}{10}\\=\frac{3}{5}-\frac{3}{4}+\frac{9}{10}\\=\frac{12}{20}-\frac{15}{20}+\frac{18}{20}\\=\frac{12-15+18}{20}\\=\frac{15}{20}\\=\frac{3}{4}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-03-29 08:18:50