Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-4}{-9} : \left(\frac{8}{-11}\right)\\=-\frac{4}{9} . \frac{11}{8}\\=-\frac{4.11}{9.8}\\=-\frac{44}{72}\\=-\frac{11}{18}\)
2. \(\frac{-3}{-7} : \left(\frac{10}{-2}\right)\\=-\frac{3}{7} : \frac{5}{1}\\=-\frac{3}{7} . \frac{1}{5}\\=-\frac{3.1}{7.5}\\=-\frac{3}{35}\)
3. \(\frac{-6}{-9} : \left(\frac{-8}{-11}\right)\\=+\frac{2}{3} : \frac{8}{11}\\=+\frac{2}{3} . \frac{11}{8}\\=\frac{2.11}{3.8}\\=\frac{22}{24}\\=\frac{11}{12}\)
4. \(\frac{-9}{6} : \left(\frac{12}{-13}\right)\\=+\frac{3}{2} : \frac{12}{13}\\=+\frac{3}{2} . \frac{13}{12}\\=\frac{3.13}{2.12}\\=\frac{39}{24}\\=\frac{13}{8}\)
5. \(\frac{-9}{-8} : \frac{3}{6}\\=+\frac{9}{8} : \frac{1}{2}\\=+\frac{9}{8} . \frac{2}{1}\\=\frac{9.2}{8.1}\\=\frac{18}{8}\\=\frac{9}{4}\)
6. \(\frac{4}{8} : \left(\frac{-8}{-11}\right)\\=+\frac{1}{2} : \frac{8}{11}\\=+\frac{1}{2} . \frac{11}{8}\\=\frac{1.11}{2.8}\\=\frac{11}{16}\)
7. \(\frac{9}{10} : \left(\frac{-11}{-8}\right)\\=+\frac{9}{10} . \frac{8}{11}\\=\frac{9.8}{10.11}\\=\frac{72}{110}\\=\frac{36}{55}\)
8. \(\frac{-5}{9} : \left(\frac{-6}{4}\right)\\=+\frac{5}{9} : \frac{3}{2}\\=+\frac{5}{9} . \frac{2}{3}\\=\frac{5.2}{9.3}\\=\frac{10}{27}\)
9. \(\frac{-9}{-12} : \left(\frac{-10}{13}\right)\\=-\frac{3}{4} : \frac{10}{13}\\=-\frac{3}{4} . \frac{13}{10}\\=-\frac{3.13}{4.10}\\=-\frac{39}{40}\)
10. \(\frac{11}{-6} : \left(\frac{-10}{-14}\right)\\=-\frac{11}{6} : \frac{5}{7}\\=-\frac{11}{6} . \frac{7}{5}\\=-\frac{11.7}{6.5}\\=-\frac{77}{30}\)
11. \(\frac{7}{-6} : \frac{5}{8}\\=-\frac{7}{6} . \frac{8}{5}\\=-\frac{7.8}{6.5}\\=-\frac{56}{30}\\=-\frac{28}{15}\)
12. \(\frac{2}{5} : \left(\frac{6}{-11}\right)\\=-\frac{2}{5} . \frac{11}{6}\\=-\frac{2.11}{5.6}\\=-\frac{22}{30}\\=-\frac{11}{15}\)