Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-8}{9} : \left(\frac{-5}{-3}\right)\\=-\frac{8}{9} . \frac{3}{5}\\=-\frac{8.3}{9.5}\\=-\frac{24}{45}\\=-\frac{8}{15}\)
2. \(\frac{5}{9} : \left(\frac{-5}{6}\right)\\=-\frac{5}{9} . \frac{6}{5}\\=-\frac{5.6}{9.5}\\=-\frac{30}{45}\\=-\frac{2}{3}\)
3. \(\frac{-2}{-10} : \frac{11}{2}\\=+\frac{1}{5} : \frac{11}{2}\\=+\frac{1}{5} . \frac{2}{11}\\=\frac{1.2}{5.11}\\=\frac{2}{55}\)
4. \(\frac{5}{13} : \left(\frac{8}{-15}\right)\\=-\frac{5}{13} . \frac{15}{8}\\=-\frac{5.15}{13.8}\\=-\frac{75}{104}\)
5. \(\frac{9}{6} : \frac{11}{5}\\=+\frac{3}{2} : \frac{11}{5}\\=+\frac{3}{2} . \frac{5}{11}\\=\frac{3.5}{2.11}\\=\frac{15}{22}\)
6. \(\frac{-8}{11} : \left(\frac{6}{-2}\right)\\=+\frac{8}{11} : \frac{3}{1}\\=+\frac{8}{11} . \frac{1}{3}\\=\frac{8.1}{11.3}\\=\frac{8}{33}\)
7. \(\frac{-2}{-4} : \frac{9}{9}\\=+\frac{1}{2} : \frac{1}{1}\\=+\frac{1}{2} . \frac{1}{1}\\=\frac{1.1}{2.1}\\=\frac{1}{2}\)
8. \(\frac{10}{-12} : \left(\frac{-7}{-9}\right)\\=-\frac{5}{6} : \frac{7}{9}\\=-\frac{5}{6} . \frac{9}{7}\\=-\frac{5.9}{6.7}\\=-\frac{45}{42}\\=-\frac{15}{14}\)
9. \(\frac{-4}{-10} : \left(\frac{-4}{-13}\right)\\=+\frac{2}{5} : \frac{4}{13}\\=+\frac{2}{5} . \frac{13}{4}\\=\frac{2.13}{5.4}\\=\frac{26}{20}\\=\frac{13}{10}\)
10. \(\frac{2}{-15} : \left(\frac{3}{-15}\right)\\=+\frac{2}{15} : \frac{1}{5}\\=+\frac{2}{15} . \frac{5}{1}\\=\frac{2.5}{15.1}\\=\frac{10}{15}\\=\frac{2}{3}\)
11. \(\frac{10}{-12} : \left(\frac{-12}{10}\right)\\=+\frac{5}{6} : \frac{6}{5}\\=+\frac{5}{6} . \frac{5}{6}\\=\frac{5.5}{6.6}\\=\frac{25}{36}\)
12. \(\frac{11}{5} : \left(\frac{5}{-6}\right)\\=-\frac{11}{5} . \frac{6}{5}\\=-\frac{11.6}{5.5}\\=-\frac{66}{25}\)