Breuken delen (reeks 2)

Hoofdmenu Eentje per keer 

Deel de breuken

  1. \(\frac{10}{10} : \left(\frac{-10}{-2}\right)\)
  2. \(\frac{5}{6} : \left(\frac{-5}{10}\right)\)
  3. \(\frac{9}{-8} : \left(\frac{-8}{6}\right)\)
  4. \(\frac{11}{-7} : \left(\frac{-2}{11}\right)\)
  5. \(\frac{6}{-2} : \left(\frac{6}{-13}\right)\)
  6. \(\frac{10}{-10} : \frac{6}{10}\)
  7. \(\frac{-3}{-7} : \left(\frac{-2}{-3}\right)\)
  8. \(\frac{3}{-13} : \frac{10}{4}\)
  9. \(\frac{-8}{-8} : \left(\frac{-3}{8}\right)\)
  10. \(\frac{-10}{-12} : \frac{11}{2}\)
  11. \(\frac{12}{13} : \left(\frac{-10}{-10}\right)\)
  12. \(\frac{-3}{14} : \frac{12}{4}\)

Deel de breuken

Verbetersleutel

  1. \(\frac{10}{10} : \left(\frac{-10}{-2}\right)\\=+\frac{1}{1} : \frac{5}{1}\\=+\frac{1}{1} . \frac{1}{5}\\=\frac{1.1}{1.5}\\=\frac{1}{5}\)
  2. \(\frac{5}{6} : \left(\frac{-5}{10}\right)\\=-\frac{5}{6} : \frac{1}{2}\\=-\frac{5}{6} . \frac{2}{1}\\=-\frac{5.2}{6.1}\\=-\frac{10}{6}\\=-\frac{5}{3}\)
  3. \(\frac{9}{-8} : \left(\frac{-8}{6}\right)\\=+\frac{9}{8} : \frac{4}{3}\\=+\frac{9}{8} . \frac{3}{4}\\=\frac{9.3}{8.4}\\=\frac{27}{32}\)
  4. \(\frac{11}{-7} : \left(\frac{-2}{11}\right)\\=+\frac{11}{7} . \frac{11}{2}\\=\frac{11.11}{7.2}\\=\frac{121}{14}\)
  5. \(\frac{6}{-2} : \left(\frac{6}{-13}\right)\\=+\frac{3}{1} : \frac{6}{13}\\=+\frac{3}{1} . \frac{13}{6}\\=\frac{3.13}{1.6}\\=\frac{39}{6}\\=\frac{13}{2}\)
  6. \(\frac{10}{-10} : \frac{6}{10}\\=-\frac{1}{1} : \frac{3}{5}\\=-\frac{1}{1} . \frac{5}{3}\\=-\frac{1.5}{1.3}\\=-\frac{5}{3}\)
  7. \(\frac{-3}{-7} : \left(\frac{-2}{-3}\right)\\=+\frac{3}{7} . \frac{3}{2}\\=\frac{3.3}{7.2}\\=\frac{9}{14}\)
  8. \(\frac{3}{-13} : \frac{10}{4}\\=-\frac{3}{13} : \frac{5}{2}\\=-\frac{3}{13} . \frac{2}{5}\\=-\frac{3.2}{13.5}\\=-\frac{6}{65}\)
  9. \(\frac{-8}{-8} : \left(\frac{-3}{8}\right)\\=-\frac{1}{1} : \frac{3}{8}\\=-\frac{1}{1} . \frac{8}{3}\\=-\frac{1.8}{1.3}\\=-\frac{8}{3}\)
  10. \(\frac{-10}{-12} : \frac{11}{2}\\=+\frac{5}{6} : \frac{11}{2}\\=+\frac{5}{6} . \frac{2}{11}\\=\frac{5.2}{6.11}\\=\frac{10}{66}\\=\frac{5}{33}\)
  11. \(\frac{12}{13} : \left(\frac{-10}{-10}\right)\\=+\frac{12}{13} : \frac{1}{1}\\=+\frac{12}{13} . \frac{1}{1}\\=\frac{12.1}{13.1}\\=\frac{12}{13}\)
  12. \(\frac{-3}{14} : \frac{12}{4}\\=-\frac{3}{14} : \frac{3}{1}\\=-\frac{3}{14} . \frac{1}{3}\\=-\frac{3.1}{14.3}\\=-\frac{3}{42}\\=-\frac{1}{14}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 02:24:23