Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-3}{-13} : \left(\frac{-10}{11}\right)\\=-\frac{3}{13} . \frac{11}{10}\\=-\frac{3.11}{13.10}\\=-\frac{33}{130}\)
2. \(\frac{-6}{5} : \left(\frac{2}{-8}\right)\\=+\frac{6}{5} : \frac{1}{4}\\=+\frac{6}{5} . \frac{4}{1}\\=\frac{6.4}{5.1}\\=\frac{24}{5}\)
3. \(\frac{-12}{-7} : \left(\frac{10}{-3}\right)\\=-\frac{12}{7} . \frac{3}{10}\\=-\frac{12.3}{7.10}\\=-\frac{36}{70}\\=-\frac{18}{35}\)
4. \(\frac{8}{-10} : \frac{10}{8}\\=-\frac{4}{5} : \frac{5}{4}\\=-\frac{4}{5} . \frac{4}{5}\\=-\frac{4.4}{5.5}\\=-\frac{16}{25}\)
5. \(\frac{-11}{9} : \left(\frac{-9}{-8}\right)\\=-\frac{11}{9} . \frac{8}{9}\\=-\frac{11.8}{9.9}\\=-\frac{88}{81}\)
6. \(\frac{8}{-3} : \left(\frac{10}{-7}\right)\\=+\frac{8}{3} . \frac{7}{10}\\=\frac{8.7}{3.10}\\=\frac{56}{30}\\=\frac{28}{15}\)
7. \(\frac{-3}{2} : \left(\frac{-7}{3}\right)\\=+\frac{3}{2} . \frac{3}{7}\\=\frac{3.3}{2.7}\\=\frac{9}{14}\)
8. \(\frac{7}{-3} : \frac{3}{3}\\=-\frac{7}{3} : \frac{1}{1}\\=-\frac{7}{3} . \frac{1}{1}\\=-\frac{7.1}{3.1}\\=-\frac{7}{3}\)
9. \(\frac{-8}{7} : \left(\frac{-6}{8}\right)\\=+\frac{8}{7} : \frac{3}{4}\\=+\frac{8}{7} . \frac{4}{3}\\=\frac{8.4}{7.3}\\=\frac{32}{21}\)
10. \(\frac{-7}{-11} : \left(\frac{-9}{14}\right)\\=-\frac{7}{11} . \frac{14}{9}\\=-\frac{7.14}{11.9}\\=-\frac{98}{99}\)
11. \(\frac{-5}{-4} : \left(\frac{-3}{13}\right)\\=-\frac{5}{4} . \frac{13}{3}\\=-\frac{5.13}{4.3}\\=-\frac{65}{12}\)
12. \(\frac{7}{-13} : \left(\frac{6}{-14}\right)\\=+\frac{7}{13} : \frac{3}{7}\\=+\frac{7}{13} . \frac{7}{3}\\=\frac{7.7}{13.3}\\=\frac{49}{39}\)