Breuken delen (reeks 2)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-2}{-4} : \frac{5}{14}\\=+\frac{1}{2} : \frac{5}{14}\\=+\frac{1}{2} . \frac{14}{5}\\=\frac{1.14}{2.5}\\=\frac{14}{10}\\=\frac{7}{5}\)
2. \(\frac{8}{-4} : \left(\frac{-12}{-8}\right)\\=-\frac{2}{1} : \frac{3}{2}\\=-\frac{2}{1} . \frac{2}{3}\\=-\frac{2.2}{1.3}\\=-\frac{4}{3}\)
3. \(\frac{4}{13} : \left(\frac{-6}{-7}\right)\\=+\frac{4}{13} . \frac{7}{6}\\=\frac{4.7}{13.6}\\=\frac{28}{78}\\=\frac{14}{39}\)
4. \(\frac{-10}{13} : \left(\frac{-12}{-3}\right)\\=-\frac{10}{13} : \frac{4}{1}\\=-\frac{10}{13} . \frac{1}{4}\\=-\frac{10.1}{13.4}\\=-\frac{10}{52}\\=-\frac{5}{26}\)
5. \(\frac{5}{-10} : \left(\frac{-5}{-8}\right)\\=-\frac{1}{2} : \frac{5}{8}\\=-\frac{1}{2} . \frac{8}{5}\\=-\frac{1.8}{2.5}\\=-\frac{8}{10}\\=-\frac{4}{5}\)
6. \(\frac{-8}{-14} : \left(\frac{-2}{-2}\right)\\=+\frac{4}{7} : \frac{1}{1}\\=+\frac{4}{7} . \frac{1}{1}\\=\frac{4.1}{7.1}\\=\frac{4}{7}\)
7. \(\frac{-11}{12} : \left(\frac{4}{-9}\right)\\=+\frac{11}{12} . \frac{9}{4}\\=\frac{11.9}{12.4}\\=\frac{99}{48}\\=\frac{33}{16}\)
8. \(\frac{7}{15} : \left(\frac{-7}{-2}\right)\\=+\frac{7}{15} . \frac{2}{7}\\=\frac{7.2}{15.7}\\=\frac{14}{105}\\=\frac{2}{15}\)
9. \(\frac{10}{-7} : \left(\frac{-11}{5}\right)\\=+\frac{10}{7} . \frac{5}{11}\\=\frac{10.5}{7.11}\\=\frac{50}{77}\)
10. \(\frac{3}{9} : \left(\frac{-4}{-7}\right)\\=+\frac{1}{3} : \frac{4}{7}\\=+\frac{1}{3} . \frac{7}{4}\\=\frac{1.7}{3.4}\\=\frac{7}{12}\)
11. \(\frac{-2}{-6} : \left(\frac{-6}{-4}\right)\\=+\frac{1}{3} : \frac{3}{2}\\=+\frac{1}{3} . \frac{2}{3}\\=\frac{1.2}{3.3}\\=\frac{2}{9}\)
12. \(\frac{4}{7} : \left(\frac{9}{-7}\right)\\=-\frac{4}{7} . \frac{7}{9}\\=-\frac{4.7}{7.9}\\=-\frac{28}{63}\\=-\frac{4}{9}\)