Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-8}{8} : \left(\frac{2}{-3}\right)\\=+\frac{1}{1} : \frac{2}{3}\\=+\frac{1}{1} . \frac{3}{2}\\=\frac{1.3}{1.2}\\=\frac{3}{2}\)
2. \(\frac{-3}{11} : \left(\frac{-6}{5}\right)\\=+\frac{3}{11} . \frac{5}{6}\\=\frac{3.5}{11.6}\\=\frac{15}{66}\\=\frac{5}{22}\)
3. \(\frac{9}{-7} : \left(\frac{-5}{11}\right)\\=+\frac{9}{7} . \frac{11}{5}\\=\frac{9.11}{7.5}\\=\frac{99}{35}\)
4. \(\frac{2}{-11} : \left(\frac{-9}{6}\right)\\=+\frac{2}{11} : \frac{3}{2}\\=+\frac{2}{11} . \frac{2}{3}\\=\frac{2.2}{11.3}\\=\frac{4}{33}\)
5. \(\frac{-6}{15} : \left(\frac{10}{-13}\right)\\=+\frac{2}{5} : \frac{10}{13}\\=+\frac{2}{5} . \frac{13}{10}\\=\frac{2.13}{5.10}\\=\frac{26}{50}\\=\frac{13}{25}\)
6. \(\frac{12}{10} : \left(\frac{-12}{-9}\right)\\=+\frac{6}{5} : \frac{4}{3}\\=+\frac{6}{5} . \frac{3}{4}\\=\frac{6.3}{5.4}\\=\frac{18}{20}\\=\frac{9}{10}\)
7. \(\frac{-3}{-5} : \left(\frac{6}{-7}\right)\\=-\frac{3}{5} . \frac{7}{6}\\=-\frac{3.7}{5.6}\\=-\frac{21}{30}\\=-\frac{7}{10}\)
8. \(\frac{11}{-15} : \left(\frac{-12}{-11}\right)\\=-\frac{11}{15} . \frac{11}{12}\\=-\frac{11.11}{15.12}\\=-\frac{121}{180}\)
9. \(\frac{-3}{8} : \left(\frac{-2}{-11}\right)\\=-\frac{3}{8} . \frac{11}{2}\\=-\frac{3.11}{8.2}\\=-\frac{33}{16}\)
10. \(\frac{-8}{-4} : \left(\frac{-2}{5}\right)\\=-\frac{2}{1} : \frac{2}{5}\\=-\frac{2}{1} . \frac{5}{2}\\=-\frac{2.5}{1.2}\\=-\frac{10}{2}\\=-\frac{5}{1}= 5\)
11. \(\frac{6}{-12} : \left(\frac{-4}{-10}\right)\\=-\frac{1}{2} : \frac{2}{5}\\=-\frac{1}{2} . \frac{5}{2}\\=-\frac{1.5}{2.2}\\=-\frac{5}{4}\)
12. \(\frac{4}{-11} : \left(\frac{-11}{14}\right)\\=+\frac{4}{11} . \frac{14}{11}\\=\frac{4.14}{11.11}\\=\frac{56}{121}\)