Breuken delen (reeks 2)

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Deel de breuken

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

Deel de breuken

Verbetersleutel

  1. \(\frac{-6}{7} : \left(\frac{8}{-2}\right)\\=+\frac{6}{7} : \frac{4}{1}\\=+\frac{6}{7} . \frac{1}{4}\\=\frac{6.1}{7.4}\\=\frac{6}{28}\\=\frac{3}{14}\)
  2. \(\frac{-10}{2} : \left(\frac{-9}{-2}\right)\\=-\frac{5}{1} : \frac{9}{2}\\=-\frac{5}{1} . \frac{2}{9}\\=-\frac{5.2}{1.9}\\=-\frac{10}{9}\)
  3. \(\frac{9}{-6} : \left(\frac{-11}{4}\right)\\=+\frac{3}{2} : \frac{11}{4}\\=+\frac{3}{2} . \frac{4}{11}\\=\frac{3.4}{2.11}\\=\frac{12}{22}\\=\frac{6}{11}\)
  4. \(\frac{3}{-2} : \left(\frac{-7}{6}\right)\\=+\frac{3}{2} . \frac{6}{7}\\=\frac{3.6}{2.7}\\=\frac{18}{14}\\=\frac{9}{7}\)
  5. \(\frac{-9}{11} : \left(\frac{9}{-13}\right)\\=+\frac{9}{11} . \frac{13}{9}\\=\frac{9.13}{11.9}\\=\frac{117}{99}\\=\frac{13}{11}\)
  6. \(\frac{-5}{-10} : \frac{5}{6}\\=+\frac{1}{2} : \frac{5}{6}\\=+\frac{1}{2} . \frac{6}{5}\\=\frac{1.6}{2.5}\\=\frac{6}{10}\\=\frac{3}{5}\)
  7. \(\frac{12}{-3} : \frac{7}{3}\\=-\frac{4}{1} : \frac{7}{3}\\=-\frac{4}{1} . \frac{3}{7}\\=-\frac{4.3}{1.7}\\=-\frac{12}{7}\)
  8. \(\frac{6}{-6} : \frac{5}{11}\\=-\frac{1}{1} : \frac{5}{11}\\=-\frac{1}{1} . \frac{11}{5}\\=-\frac{1.11}{1.5}\\=-\frac{11}{5}\)
  9. \(\frac{-2}{-12} : \left(\frac{-12}{-2}\right)\\=+\frac{1}{6} : \frac{6}{1}\\=+\frac{1}{6} . \frac{1}{6}\\=\frac{1.1}{6.6}\\=\frac{1}{36}\)
  10. \(\frac{-6}{-7} : \left(\frac{-6}{-10}\right)\\=+\frac{6}{7} : \frac{3}{5}\\=+\frac{6}{7} . \frac{5}{3}\\=\frac{6.5}{7.3}\\=\frac{30}{21}\\=\frac{10}{7}\)
  11. \(\frac{-7}{-6} : \left(\frac{-2}{9}\right)\\=-\frac{7}{6} . \frac{9}{2}\\=-\frac{7.9}{6.2}\\=-\frac{63}{12}\\=-\frac{21}{4}\)
  12. \(\frac{-11}{12} : \left(\frac{-6}{-14}\right)\\=-\frac{11}{12} : \frac{3}{7}\\=-\frac{11}{12} . \frac{7}{3}\\=-\frac{11.7}{12.3}\\=-\frac{77}{36}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-03-29 13:37:49