Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{2} : \left(\frac{5}{-2}\right)\\=-\frac{7}{2} . \frac{2}{5}\\=-\frac{7.2}{2.5}\\=-\frac{14}{10}\\=-\frac{7}{5}\)
2. \(\frac{-12}{-10} : \left(\frac{-6}{-10}\right)\\=+\frac{6}{5} : \frac{3}{5}\\=+\frac{6}{5} . \frac{5}{3}\\=\frac{6.5}{5.3}\\=\frac{30}{15}\\=\frac{2}{1}= 2\)
3. \(\frac{-5}{-9} : \frac{11}{2}\\=+\frac{5}{9} . \frac{2}{11}\\=\frac{5.2}{9.11}\\=\frac{10}{99}\)
4. \(\frac{6}{5} : \left(\frac{-9}{-12}\right)\\=+\frac{6}{5} : \frac{3}{4}\\=+\frac{6}{5} . \frac{4}{3}\\=\frac{6.4}{5.3}\\=\frac{24}{15}\\=\frac{8}{5}\)
5. \(\frac{2}{-5} : \left(\frac{-11}{2}\right)\\=+\frac{2}{5} . \frac{2}{11}\\=\frac{2.2}{5.11}\\=\frac{4}{55}\)
6. \(\frac{-3}{13} : \left(\frac{12}{-13}\right)\\=+\frac{3}{13} . \frac{13}{12}\\=\frac{3.13}{13.12}\\=\frac{39}{156}\\=\frac{1}{4}\)
7. \(\frac{-5}{-9} : \left(\frac{-9}{-15}\right)\\=+\frac{5}{9} : \frac{3}{5}\\=+\frac{5}{9} . \frac{5}{3}\\=\frac{5.5}{9.3}\\=\frac{25}{27}\)
8. \(\frac{-7}{-10} : \left(\frac{-4}{12}\right)\\=-\frac{7}{10} : \frac{1}{3}\\=-\frac{7}{10} . \frac{3}{1}\\=-\frac{7.3}{10.1}\\=-\frac{21}{10}\)
9. \(\frac{-8}{12} : \left(\frac{6}{-2}\right)\\=+\frac{2}{3} : \frac{3}{1}\\=+\frac{2}{3} . \frac{1}{3}\\=\frac{2.1}{3.3}\\=\frac{2}{9}\)
10. \(\frac{3}{4} : \left(\frac{-4}{2}\right)\\=-\frac{3}{4} : \frac{2}{1}\\=-\frac{3}{4} . \frac{1}{2}\\=-\frac{3.1}{4.2}\\=-\frac{3}{8}\)
11. \(\frac{-12}{14} : \left(\frac{-12}{-5}\right)\\=-\frac{6}{7} : \frac{12}{5}\\=-\frac{6}{7} . \frac{5}{12}\\=-\frac{6.5}{7.12}\\=-\frac{30}{84}\\=-\frac{5}{14}\)
12. \(\frac{2}{5} : \left(\frac{-7}{6}\right)\\=-\frac{2}{5} . \frac{6}{7}\\=-\frac{2.6}{5.7}\\=-\frac{12}{35}\)