Breuken delen (reeks 2)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-9}{-13} : \frac{11}{12}\\=+\frac{9}{13} . \frac{12}{11}\\=\frac{9.12}{13.11}\\=\frac{108}{143}\)
2. \(\frac{10}{13} : \left(\frac{-4}{-10}\right)\\=+\frac{10}{13} : \frac{2}{5}\\=+\frac{10}{13} . \frac{5}{2}\\=\frac{10.5}{13.2}\\=\frac{50}{26}\\=\frac{25}{13}\)
3. \(\frac{-12}{-14} : \left(\frac{11}{-14}\right)\\=-\frac{6}{7} : \frac{11}{14}\\=-\frac{6}{7} . \frac{14}{11}\\=-\frac{6.14}{7.11}\\=-\frac{84}{77}\\=-\frac{12}{11}\)
4. \(\frac{-11}{-3} : \left(\frac{-8}{6}\right)\\=-\frac{11}{3} : \frac{4}{3}\\=-\frac{11}{3} . \frac{3}{4}\\=-\frac{11.3}{3.4}\\=-\frac{33}{12}\\=-\frac{11}{4}\)
5. \(\frac{-12}{-6} : \frac{12}{12}\\=+\frac{2}{1} : \frac{1}{1}\\=+\frac{2}{1} . \frac{1}{1}\\=\frac{2.1}{1.1}\\=\frac{2}{1}= 2\)
6. \(\frac{-12}{8} : \frac{10}{10}\\=-\frac{3}{2} : \frac{1}{1}\\=-\frac{3}{2} . \frac{1}{1}\\=-\frac{3.1}{2.1}\\=-\frac{3}{2}\)
7. \(\frac{-12}{10} : \frac{12}{5}\\=-\frac{6}{5} : \frac{12}{5}\\=-\frac{6}{5} . \frac{5}{12}\\=-\frac{6.5}{5.12}\\=-\frac{30}{60}\\=-\frac{1}{2}\)
8. \(\frac{-9}{-12} : \frac{5}{7}\\=+\frac{3}{4} : \frac{5}{7}\\=+\frac{3}{4} . \frac{7}{5}\\=\frac{3.7}{4.5}\\=\frac{21}{20}\)
9. \(\frac{11}{-9} : \left(\frac{-12}{-8}\right)\\=-\frac{11}{9} : \frac{3}{2}\\=-\frac{11}{9} . \frac{2}{3}\\=-\frac{11.2}{9.3}\\=-\frac{22}{27}\)
10. \(\frac{6}{-7} : \left(\frac{-5}{-6}\right)\\=-\frac{6}{7} . \frac{6}{5}\\=-\frac{6.6}{7.5}\\=-\frac{36}{35}\)
11. \(\frac{-10}{2} : \frac{12}{8}\\=-\frac{5}{1} : \frac{3}{2}\\=-\frac{5}{1} . \frac{2}{3}\\=-\frac{5.2}{1.3}\\=-\frac{10}{3}\)
12. \(\frac{-8}{-10} : \frac{9}{11}\\=+\frac{4}{5} : \frac{9}{11}\\=+\frac{4}{5} . \frac{11}{9}\\=\frac{4.11}{5.9}\\=\frac{44}{45}\)