Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-2}{-13} : \left(\frac{9}{-9}\right)\\=-\frac{2}{13} : \frac{1}{1}\\=-\frac{2}{13} . \frac{1}{1}\\=-\frac{2.1}{13.1}\\=-\frac{2}{13}\)
2. \(\frac{-10}{8} : \left(\frac{4}{-2}\right)\\=+\frac{5}{4} : \frac{2}{1}\\=+\frac{5}{4} . \frac{1}{2}\\=\frac{5.1}{4.2}\\=\frac{5}{8}\)
3. \(\frac{3}{-11} : \left(\frac{-3}{13}\right)\\=+\frac{3}{11} . \frac{13}{3}\\=\frac{3.13}{11.3}\\=\frac{39}{33}\\=\frac{13}{11}\)
4. \(\frac{-7}{8} : \left(\frac{-10}{-4}\right)\\=-\frac{7}{8} : \frac{5}{2}\\=-\frac{7}{8} . \frac{2}{5}\\=-\frac{7.2}{8.5}\\=-\frac{14}{40}\\=-\frac{7}{20}\)
5. \(\frac{11}{10} : \left(\frac{-2}{-2}\right)\\=+\frac{11}{10} : \frac{1}{1}\\=+\frac{11}{10} . \frac{1}{1}\\=\frac{11.1}{10.1}\\=\frac{11}{10}\)
6. \(\frac{-3}{14} : \frac{4}{6}\\=-\frac{3}{14} : \frac{2}{3}\\=-\frac{3}{14} . \frac{3}{2}\\=-\frac{3.3}{14.2}\\=-\frac{9}{28}\)
7. \(\frac{8}{-7} : \left(\frac{-8}{13}\right)\\=+\frac{8}{7} . \frac{13}{8}\\=\frac{8.13}{7.8}\\=\frac{104}{56}\\=\frac{13}{7}\)
8. \(\frac{9}{15} : \left(\frac{5}{-15}\right)\\=-\frac{3}{5} : \frac{1}{3}\\=-\frac{3}{5} . \frac{3}{1}\\=-\frac{3.3}{5.1}\\=-\frac{9}{5}\)
9. \(\frac{-8}{12} : \left(\frac{-5}{-5}\right)\\=-\frac{2}{3} : \frac{1}{1}\\=-\frac{2}{3} . \frac{1}{1}\\=-\frac{2.1}{3.1}\\=-\frac{2}{3}\)
10. \(\frac{11}{-11} : \left(\frac{3}{-12}\right)\\=+\frac{1}{1} : \frac{1}{4}\\=+\frac{1}{1} . \frac{4}{1}\\=\frac{1.4}{1.1}\\=\frac{4}{1}= 4\)
11. \(\frac{-4}{8} : \left(\frac{-7}{-12}\right)\\=-\frac{1}{2} : \frac{7}{12}\\=-\frac{1}{2} . \frac{12}{7}\\=-\frac{1.12}{2.7}\\=-\frac{12}{14}\\=-\frac{6}{7}\)
12. \(\frac{-9}{-2} : \frac{4}{13}\\=+\frac{9}{2} . \frac{13}{4}\\=\frac{9.13}{2.4}\\=\frac{117}{8}\)