Breuken delen (reeks 2)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{4}{3} : \left(\frac{12}{-3}\right)\\=-\frac{4}{3} : \frac{4}{1}\\=-\frac{4}{3} . \frac{1}{4}\\=-\frac{4.1}{3.4}\\=-\frac{4}{12}\\=-\frac{1}{3}\)
2. \(\frac{-2}{5} : \left(\frac{-10}{6}\right)\\=+\frac{2}{5} : \frac{5}{3}\\=+\frac{2}{5} . \frac{3}{5}\\=\frac{2.3}{5.5}\\=\frac{6}{25}\)
3. \(\frac{9}{-13} : \left(\frac{11}{-8}\right)\\=+\frac{9}{13} . \frac{8}{11}\\=\frac{9.8}{13.11}\\=\frac{72}{143}\)
4. \(\frac{-6}{-9} : \frac{7}{7}\\=+\frac{2}{3} : \frac{1}{1}\\=+\frac{2}{3} . \frac{1}{1}\\=\frac{2.1}{3.1}\\=\frac{2}{3}\)
5. \(\frac{-5}{-7} : \left(\frac{-5}{6}\right)\\=-\frac{5}{7} . \frac{6}{5}\\=-\frac{5.6}{7.5}\\=-\frac{30}{35}\\=-\frac{6}{7}\)
6. \(\frac{-3}{-9} : \left(\frac{-12}{-13}\right)\\=+\frac{1}{3} : \frac{12}{13}\\=+\frac{1}{3} . \frac{13}{12}\\=\frac{1.13}{3.12}\\=\frac{13}{36}\)
7. \(\frac{-3}{-4} : \left(\frac{2}{-13}\right)\\=-\frac{3}{4} . \frac{13}{2}\\=-\frac{3.13}{4.2}\\=-\frac{39}{8}\)
8. \(\frac{-3}{5} : \left(\frac{-10}{3}\right)\\=+\frac{3}{5} . \frac{3}{10}\\=\frac{3.3}{5.10}\\=\frac{9}{50}\)
9. \(\frac{7}{10} : \left(\frac{-6}{-7}\right)\\=+\frac{7}{10} . \frac{7}{6}\\=\frac{7.7}{10.6}\\=\frac{49}{60}\)
10. \(\frac{-6}{6} : \left(\frac{10}{-3}\right)\\=+\frac{1}{1} : \frac{10}{3}\\=+\frac{1}{1} . \frac{3}{10}\\=\frac{1.3}{1.10}\\=\frac{3}{10}\)
11. \(\frac{6}{4} : \left(\frac{-8}{-2}\right)\\=+\frac{3}{2} : \frac{4}{1}\\=+\frac{3}{2} . \frac{1}{4}\\=\frac{3.1}{2.4}\\=\frac{3}{8}\)
12. \(\frac{-12}{7} : \left(\frac{-9}{-14}\right)\\=-\frac{12}{7} . \frac{14}{9}\\=-\frac{12.14}{7.9}\\=-\frac{168}{63}\\=-\frac{8}{3}\)