Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-6}{14} : \left(\frac{4}{-15}\right)\\=+\frac{3}{7} : \frac{4}{15}\\=+\frac{3}{7} . \frac{15}{4}\\=\frac{3.15}{7.4}\\=\frac{45}{28}\)
2. \(\frac{9}{-13} : \left(\frac{-2}{9}\right)\\=+\frac{9}{13} . \frac{9}{2}\\=\frac{9.9}{13.2}\\=\frac{81}{26}\)
3. \(\frac{-12}{4} : \left(\frac{5}{-3}\right)\\=+\frac{3}{1} : \frac{5}{3}\\=+\frac{3}{1} . \frac{3}{5}\\=\frac{3.3}{1.5}\\=\frac{9}{5}\)
4. \(\frac{-9}{10} : \frac{5}{7}\\=-\frac{9}{10} . \frac{7}{5}\\=-\frac{9.7}{10.5}\\=-\frac{63}{50}\)
5. \(\frac{7}{9} : \left(\frac{-2}{-8}\right)\\=+\frac{7}{9} : \frac{1}{4}\\=+\frac{7}{9} . \frac{4}{1}\\=\frac{7.4}{9.1}\\=\frac{28}{9}\)
6. \(\frac{12}{4} : \left(\frac{-8}{-14}\right)\\=+\frac{3}{1} : \frac{4}{7}\\=+\frac{3}{1} . \frac{7}{4}\\=\frac{3.7}{1.4}\\=\frac{21}{4}\)
7. \(\frac{9}{15} : \frac{6}{6}\\=+\frac{3}{5} : \frac{1}{1}\\=+\frac{3}{5} . \frac{1}{1}\\=\frac{3.1}{5.1}\\=\frac{3}{5}\)
8. \(\frac{-8}{-7} : \frac{3}{7}\\=+\frac{8}{7} . \frac{7}{3}\\=\frac{8.7}{7.3}\\=\frac{56}{21}\\=\frac{8}{3}\)
9. \(\frac{2}{4} : \left(\frac{-11}{-10}\right)\\=+\frac{1}{2} : \frac{11}{10}\\=+\frac{1}{2} . \frac{10}{11}\\=\frac{1.10}{2.11}\\=\frac{10}{22}\\=\frac{5}{11}\)
10. \(\frac{6}{6} : \left(\frac{-7}{-11}\right)\\=+\frac{1}{1} : \frac{7}{11}\\=+\frac{1}{1} . \frac{11}{7}\\=\frac{1.11}{1.7}\\=\frac{11}{7}\)
11. \(\frac{-6}{-3} : \left(\frac{-5}{-14}\right)\\=+\frac{2}{1} : \frac{5}{14}\\=+\frac{2}{1} . \frac{14}{5}\\=\frac{2.14}{1.5}\\=\frac{28}{5}\)
12. \(\frac{11}{7} : \left(\frac{-4}{5}\right)\\=-\frac{11}{7} . \frac{5}{4}\\=-\frac{11.5}{7.4}\\=-\frac{55}{28}\)