Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-9}{5} : \left(\frac{-4}{7}\right)\\=+\frac{9}{5} . \frac{7}{4}\\=\frac{9.7}{5.4}\\=\frac{63}{20}\)
2. \(\frac{-11}{-3} : \left(\frac{2}{-12}\right)\\=-\frac{11}{3} : \frac{1}{6}\\=-\frac{11}{3} . \frac{6}{1}\\=-\frac{11.6}{3.1}\\=-\frac{66}{3}\\=-\frac{22}{1}= 22\)
3. \(\frac{5}{14} : \left(\frac{-6}{-2}\right)\\=+\frac{5}{14} : \frac{3}{1}\\=+\frac{5}{14} . \frac{1}{3}\\=\frac{5.1}{14.3}\\=\frac{5}{42}\)
4. \(\frac{8}{7} : \left(\frac{-3}{15}\right)\\=-\frac{8}{7} : \frac{1}{5}\\=-\frac{8}{7} . \frac{5}{1}\\=-\frac{8.5}{7.1}\\=-\frac{40}{7}\)
5. \(\frac{3}{9} : \left(\frac{11}{-2}\right)\\=-\frac{1}{3} : \frac{11}{2}\\=-\frac{1}{3} . \frac{2}{11}\\=-\frac{1.2}{3.11}\\=-\frac{2}{33}\)
6. \(\frac{10}{-9} : \left(\frac{-12}{10}\right)\\=+\frac{10}{9} : \frac{6}{5}\\=+\frac{10}{9} . \frac{5}{6}\\=\frac{10.5}{9.6}\\=\frac{50}{54}\\=\frac{25}{27}\)
7. \(\frac{-3}{7} : \frac{4}{13}\\=-\frac{3}{7} . \frac{13}{4}\\=-\frac{3.13}{7.4}\\=-\frac{39}{28}\)
8. \(\frac{3}{11} : \left(\frac{-4}{12}\right)\\=-\frac{3}{11} : \frac{1}{3}\\=-\frac{3}{11} . \frac{3}{1}\\=-\frac{3.3}{11.1}\\=-\frac{9}{11}\)
9. \(\frac{9}{8} : \left(\frac{11}{-9}\right)\\=-\frac{9}{8} . \frac{9}{11}\\=-\frac{9.9}{8.11}\\=-\frac{81}{88}\)
10. \(\frac{9}{14} : \left(\frac{-10}{15}\right)\\=-\frac{9}{14} : \frac{2}{3}\\=-\frac{9}{14} . \frac{3}{2}\\=-\frac{9.3}{14.2}\\=-\frac{27}{28}\)
11. \(\frac{-2}{6} : \left(\frac{-2}{7}\right)\\=+\frac{1}{3} : \frac{2}{7}\\=+\frac{1}{3} . \frac{7}{2}\\=\frac{1.7}{3.2}\\=\frac{7}{6}\)
12. \(\frac{9}{7} : \frac{11}{14}\\=+\frac{9}{7} . \frac{14}{11}\\=\frac{9.14}{7.11}\\=\frac{126}{77}\\=\frac{18}{11}\)