Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-4}{7} : \left(\frac{-11}{-13}\right)\\=-\frac{4}{7} . \frac{13}{11}\\=-\frac{4.13}{7.11}\\=-\frac{52}{77}\)
2. \(\frac{11}{10} : \left(\frac{-10}{2}\right)\\=-\frac{11}{10} : \frac{5}{1}\\=-\frac{11}{10} . \frac{1}{5}\\=-\frac{11.1}{10.5}\\=-\frac{11}{50}\)
3. \(\frac{-12}{14} : \frac{7}{15}\\=-\frac{6}{7} : \frac{7}{15}\\=-\frac{6}{7} . \frac{15}{7}\\=-\frac{6.15}{7.7}\\=-\frac{90}{49}\)
4. \(\frac{-7}{10} : \left(\frac{6}{-10}\right)\\=+\frac{7}{10} : \frac{3}{5}\\=+\frac{7}{10} . \frac{5}{3}\\=\frac{7.5}{10.3}\\=\frac{35}{30}\\=\frac{7}{6}\)
5. \(\frac{4}{2} : \left(\frac{-10}{-9}\right)\\=+\frac{2}{1} : \frac{10}{9}\\=+\frac{2}{1} . \frac{9}{10}\\=\frac{2.9}{1.10}\\=\frac{18}{10}\\=\frac{9}{5}\)
6. \(\frac{-6}{-14} : \left(\frac{9}{-6}\right)\\=-\frac{3}{7} : \frac{3}{2}\\=-\frac{3}{7} . \frac{2}{3}\\=-\frac{3.2}{7.3}\\=-\frac{6}{21}\\=-\frac{2}{7}\)
7. \(\frac{-5}{-4} : \left(\frac{-8}{-5}\right)\\=+\frac{5}{4} . \frac{5}{8}\\=\frac{5.5}{4.8}\\=\frac{25}{32}\)
8. \(\frac{-8}{-9} : \left(\frac{11}{-4}\right)\\=-\frac{8}{9} . \frac{4}{11}\\=-\frac{8.4}{9.11}\\=-\frac{32}{99}\)
9. \(\frac{8}{-3} : \frac{12}{13}\\=-\frac{8}{3} . \frac{13}{12}\\=-\frac{8.13}{3.12}\\=-\frac{104}{36}\\=-\frac{26}{9}\)
10. \(\frac{-11}{-4} : \left(\frac{-2}{15}\right)\\=-\frac{11}{4} . \frac{15}{2}\\=-\frac{11.15}{4.2}\\=-\frac{165}{8}\)
11. \(\frac{-9}{-15} : \frac{12}{12}\\=+\frac{3}{5} : \frac{1}{1}\\=+\frac{3}{5} . \frac{1}{1}\\=\frac{3.1}{5.1}\\=\frac{3}{5}\)
12. \(\frac{-12}{9} : \left(\frac{-4}{5}\right)\\=+\frac{4}{3} : \frac{4}{5}\\=+\frac{4}{3} . \frac{5}{4}\\=\frac{4.5}{3.4}\\=\frac{20}{12}\\=\frac{5}{3}\)