Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-7}{-13} : \left(\frac{-7}{-12}\right)\\=+\frac{7}{13} . \frac{12}{7}\\=\frac{7.12}{13.7}\\=\frac{84}{91}\\=\frac{12}{13}\)
2. \(\frac{-8}{12} : \left(\frac{-4}{8}\right)\\=+\frac{2}{3} : \frac{1}{2}\\=+\frac{2}{3} . \frac{2}{1}\\=\frac{2.2}{3.1}\\=\frac{4}{3}\)
3. \(\frac{-6}{10} : \frac{12}{5}\\=-\frac{3}{5} : \frac{12}{5}\\=-\frac{3}{5} . \frac{5}{12}\\=-\frac{3.5}{5.12}\\=-\frac{15}{60}\\=-\frac{1}{4}\)
4. \(\frac{-3}{7} : \left(\frac{-6}{-3}\right)\\=-\frac{3}{7} : \frac{2}{1}\\=-\frac{3}{7} . \frac{1}{2}\\=-\frac{3.1}{7.2}\\=-\frac{3}{14}\)
5. \(\frac{-8}{-9} : \left(\frac{-10}{-10}\right)\\=+\frac{8}{9} : \frac{1}{1}\\=+\frac{8}{9} . \frac{1}{1}\\=\frac{8.1}{9.1}\\=\frac{8}{9}\)
6. \(\frac{-10}{-6} : \left(\frac{4}{-9}\right)\\=-\frac{5}{3} : \frac{4}{9}\\=-\frac{5}{3} . \frac{9}{4}\\=-\frac{5.9}{3.4}\\=-\frac{45}{12}\\=-\frac{15}{4}\)
7. \(\frac{12}{12} : \left(\frac{-5}{-7}\right)\\=+\frac{1}{1} : \frac{5}{7}\\=+\frac{1}{1} . \frac{7}{5}\\=\frac{1.7}{1.5}\\=\frac{7}{5}\)
8. \(\frac{-2}{2} : \frac{2}{6}\\=-\frac{1}{1} : \frac{1}{3}\\=-\frac{1}{1} . \frac{3}{1}\\=-\frac{1.3}{1.1}\\=-\frac{3}{1}= 3\)
9. \(\frac{-7}{11} : \frac{12}{9}\\=-\frac{7}{11} : \frac{4}{3}\\=-\frac{7}{11} . \frac{3}{4}\\=-\frac{7.3}{11.4}\\=-\frac{21}{44}\)
10. \(\frac{-3}{-15} : \left(\frac{8}{-8}\right)\\=-\frac{1}{5} : \frac{1}{1}\\=-\frac{1}{5} . \frac{1}{1}\\=-\frac{1.1}{5.1}\\=-\frac{1}{5}\)
11. \(\frac{6}{-14} : \left(\frac{-12}{-3}\right)\\=-\frac{3}{7} : \frac{4}{1}\\=-\frac{3}{7} . \frac{1}{4}\\=-\frac{3.1}{7.4}\\=-\frac{3}{28}\)
12. \(\frac{12}{-12} : \left(\frac{-4}{-7}\right)\\=-\frac{1}{1} : \frac{4}{7}\\=-\frac{1}{1} . \frac{7}{4}\\=-\frac{1.7}{1.4}\\=-\frac{7}{4}\)