Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-4}{-6} : \frac{2}{4}\\=+\frac{2}{3} : \frac{1}{2}\\=+\frac{2}{3} . \frac{2}{1}\\=\frac{2.2}{3.1}\\=\frac{4}{3}\)
2. \(\frac{-4}{8} : \frac{3}{8}\\=-\frac{1}{2} : \frac{3}{8}\\=-\frac{1}{2} . \frac{8}{3}\\=-\frac{1.8}{2.3}\\=-\frac{8}{6}\\=-\frac{4}{3}\)
3. \(\frac{-11}{-2} : \left(\frac{-7}{-11}\right)\\=+\frac{11}{2} . \frac{11}{7}\\=\frac{11.11}{2.7}\\=\frac{121}{14}\)
4. \(\frac{-4}{-5} : \left(\frac{12}{-3}\right)\\=-\frac{4}{5} : \frac{4}{1}\\=-\frac{4}{5} . \frac{1}{4}\\=-\frac{4.1}{5.4}\\=-\frac{4}{20}\\=-\frac{1}{5}\)
5. \(\frac{-10}{-15} : \left(\frac{3}{-15}\right)\\=-\frac{2}{3} : \frac{1}{5}\\=-\frac{2}{3} . \frac{5}{1}\\=-\frac{2.5}{3.1}\\=-\frac{10}{3}\)
6. \(\frac{6}{-9} : \frac{12}{15}\\=-\frac{2}{3} : \frac{4}{5}\\=-\frac{2}{3} . \frac{5}{4}\\=-\frac{2.5}{3.4}\\=-\frac{10}{12}\\=-\frac{5}{6}\)
7. \(\frac{-4}{-14} : \left(\frac{12}{-14}\right)\\=-\frac{2}{7} : \frac{6}{7}\\=-\frac{2}{7} . \frac{7}{6}\\=-\frac{2.7}{7.6}\\=-\frac{14}{42}\\=-\frac{1}{3}\)
8. \(\frac{-3}{-13} : \frac{3}{9}\\=+\frac{3}{13} : \frac{1}{3}\\=+\frac{3}{13} . \frac{3}{1}\\=\frac{3.3}{13.1}\\=\frac{9}{13}\)
9. \(\frac{10}{12} : \left(\frac{-2}{-15}\right)\\=+\frac{5}{6} : \frac{2}{15}\\=+\frac{5}{6} . \frac{15}{2}\\=\frac{5.15}{6.2}\\=\frac{75}{12}\\=\frac{25}{4}\)
10. \(\frac{2}{13} : \left(\frac{-6}{15}\right)\\=-\frac{2}{13} : \frac{2}{5}\\=-\frac{2}{13} . \frac{5}{2}\\=-\frac{2.5}{13.2}\\=-\frac{10}{26}\\=-\frac{5}{13}\)
11. \(\frac{-11}{6} : \frac{10}{3}\\=-\frac{11}{6} . \frac{3}{10}\\=-\frac{11.3}{6.10}\\=-\frac{33}{60}\\=-\frac{11}{20}\)
12. \(\frac{-3}{5} : \left(\frac{5}{-6}\right)\\=+\frac{3}{5} . \frac{6}{5}\\=\frac{3.6}{5.5}\\=\frac{18}{25}\)