Breuken delen (reeks 2)

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Deel de breuken

1. \(\frac{-6}{5} : \left(\frac{4}{-8}\right)\)
2. \(\frac{4}{14} : \frac{3}{12}\)
3. \(\frac{-3}{-2} : \left(\frac{-11}{11}\right)\)
4. \(\frac{-7}{-14} : \left(\frac{-8}{5}\right)\)
5. \(\frac{9}{12} : \left(\frac{11}{-9}\right)\)
6. \(\frac{-10}{-14} : \left(\frac{12}{-3}\right)\)
7. \(\frac{-12}{-14} : \left(\frac{-2}{12}\right)\)
8. \(\frac{-7}{-15} : \frac{12}{13}\)
9. \(\frac{6}{4} : \left(\frac{-4}{-11}\right)\)
10. \(\frac{12}{12} : \left(\frac{4}{-14}\right)\)
11. \(\frac{5}{6} : \frac{6}{2}\)
12. \(\frac{-9}{-3} : \frac{7}{3}\)

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Deel de breuken

Verbetersleutel

1. \(\frac{-6}{5} : \left(\frac{4}{-8}\right)\\=+\frac{6}{5} : \frac{1}{2}\\=+\frac{6}{5} . \frac{2}{1}\\=\frac{6.2}{5.1}\\=\frac{12}{5}\)
2. \(\frac{4}{14} : \frac{3}{12}\\=+\frac{2}{7} : \frac{1}{4}\\=+\frac{2}{7} . \frac{4}{1}\\=\frac{2.4}{7.1}\\=\frac{8}{7}\)
3. \(\frac{-3}{-2} : \left(\frac{-11}{11}\right)\\=-\frac{3}{2} : \frac{1}{1}\\=-\frac{3}{2} . \frac{1}{1}\\=-\frac{3.1}{2.1}\\=-\frac{3}{2}\)
4. \(\frac{-7}{-14} : \left(\frac{-8}{5}\right)\\=-\frac{1}{2} : \frac{8}{5}\\=-\frac{1}{2} . \frac{5}{8}\\=-\frac{1.5}{2.8}\\=-\frac{5}{16}\)
5. \(\frac{9}{12} : \left(\frac{11}{-9}\right)\\=-\frac{3}{4} : \frac{11}{9}\\=-\frac{3}{4} . \frac{9}{11}\\=-\frac{3.9}{4.11}\\=-\frac{27}{44}\)
6. \(\frac{-10}{-14} : \left(\frac{12}{-3}\right)\\=-\frac{5}{7} : \frac{4}{1}\\=-\frac{5}{7} . \frac{1}{4}\\=-\frac{5.1}{7.4}\\=-\frac{5}{28}\)
7. \(\frac{-12}{-14} : \left(\frac{-2}{12}\right)\\=-\frac{6}{7} : \frac{1}{6}\\=-\frac{6}{7} . \frac{6}{1}\\=-\frac{6.6}{7.1}\\=-\frac{36}{7}\)
8. \(\frac{-7}{-15} : \frac{12}{13}\\=+\frac{7}{15} . \frac{13}{12}\\=\frac{7.13}{15.12}\\=\frac{91}{180}\)
9. \(\frac{6}{4} : \left(\frac{-4}{-11}\right)\\=+\frac{3}{2} : \frac{4}{11}\\=+\frac{3}{2} . \frac{11}{4}\\=\frac{3.11}{2.4}\\=\frac{33}{8}\)
10. \(\frac{12}{12} : \left(\frac{4}{-14}\right)\\=-\frac{1}{1} : \frac{2}{7}\\=-\frac{1}{1} . \frac{7}{2}\\=-\frac{1.7}{1.2}\\=-\frac{7}{2}\)
11. \(\frac{5}{6} : \frac{6}{2}\\=+\frac{5}{6} : \frac{3}{1}\\=+\frac{5}{6} . \frac{1}{3}\\=\frac{5.1}{6.3}\\=\frac{5}{18}\)
12. \(\frac{-9}{-3} : \frac{7}{3}\\=+\frac{3}{1} : \frac{7}{3}\\=+\frac{3}{1} . \frac{3}{7}\\=\frac{3.3}{1.7}\\=\frac{9}{7}\)