Breuken delen (reeks 2)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-7}{15} : \frac{5}{10}\\=-\frac{7}{15} : \frac{1}{2}\\=-\frac{7}{15} . \frac{2}{1}\\=-\frac{7.2}{15.1}\\=-\frac{14}{15}\)
2. \(\frac{11}{-15} : \left(\frac{-10}{-3}\right)\\=-\frac{11}{15} . \frac{3}{10}\\=-\frac{11.3}{15.10}\\=-\frac{33}{150}\\=-\frac{11}{50}\)
3. \(\frac{-5}{5} : \left(\frac{-5}{-8}\right)\\=-\frac{1}{1} : \frac{5}{8}\\=-\frac{1}{1} . \frac{8}{5}\\=-\frac{1.8}{1.5}\\=-\frac{8}{5}\)
4. \(\frac{-12}{5} : \frac{4}{4}\\=-\frac{12}{5} : \frac{1}{1}\\=-\frac{12}{5} . \frac{1}{1}\\=-\frac{12.1}{5.1}\\=-\frac{12}{5}\)
5. \(\frac{-7}{-13} : \frac{12}{14}\\=+\frac{7}{13} : \frac{6}{7}\\=+\frac{7}{13} . \frac{7}{6}\\=\frac{7.7}{13.6}\\=\frac{49}{78}\)
6. \(\frac{-2}{7} : \left(\frac{-12}{-6}\right)\\=-\frac{2}{7} : \frac{2}{1}\\=-\frac{2}{7} . \frac{1}{2}\\=-\frac{2.1}{7.2}\\=-\frac{2}{14}\\=-\frac{1}{7}\)
7. \(\frac{12}{8} : \left(\frac{-5}{-13}\right)\\=+\frac{3}{2} : \frac{5}{13}\\=+\frac{3}{2} . \frac{13}{5}\\=\frac{3.13}{2.5}\\=\frac{39}{10}\)
8. \(\frac{9}{13} : \frac{3}{11}\\=+\frac{9}{13} . \frac{11}{3}\\=\frac{9.11}{13.3}\\=\frac{99}{39}\\=\frac{33}{13}\)
9. \(\frac{-9}{13} : \frac{9}{15}\\=-\frac{9}{13} : \frac{3}{5}\\=-\frac{9}{13} . \frac{5}{3}\\=-\frac{9.5}{13.3}\\=-\frac{45}{39}\\=-\frac{15}{13}\)
10. \(\frac{-6}{5} : \frac{8}{8}\\=-\frac{6}{5} : \frac{1}{1}\\=-\frac{6}{5} . \frac{1}{1}\\=-\frac{6.1}{5.1}\\=-\frac{6}{5}\)
11. \(\frac{11}{-10} : \frac{11}{7}\\=-\frac{11}{10} . \frac{7}{11}\\=-\frac{11.7}{10.11}\\=-\frac{77}{110}\\=-\frac{7}{10}\)
12. \(\frac{-4}{15} : \left(\frac{-11}{6}\right)\\=+\frac{4}{15} . \frac{6}{11}\\=\frac{4.6}{15.11}\\=\frac{24}{165}\\=\frac{8}{55}\)